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310213010032112 = 2411171012842936109
BaseRepresentation
bin100011010001000110001100…
…0010001001000010111110000
31111200101002000001010122010002
41012202030120101020113300
5311130012221032011422
63015433520041325132
7122225102401421225
oct10642143021102760
91450332001118102
10310213010032112
118a930664a213a0
122a9614394967a8
1310412c66054555
14568656586394c
1525ce543eaa692
hex11a23184485f0

310213010032112 has 160 divisors (see below), whose sum is σ = 701164573041600. Its totient is φ = 131389212672000.

The previous prime is 310213010032111. The next prime is 310213010032147. The reversal of 310213010032112 is 211230010312013.

It is a happy number.

It is a super-2 number, since 2×3102130100321122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310213010032111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8590998314 + ... + 8591034422.

It is an arithmetic number, because the mean of its divisors is an integer number (4382278581510).

Almost surely, 2310213010032112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310213010032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350582286520800).

310213010032112 is an abundant number, since it is smaller than the sum of its proper divisors (390951563009488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

310213010032112 is a wasteful number, since it uses less digits than its factorization.

310213010032112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64675 (or 64669 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 310213010032112 its reverse (211230010312013), we get a palindrome (521443020344125).

The spelling of 310213010032112 in words is "three hundred ten trillion, two hundred thirteen billion, ten million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 101 136 176 187 202 272 374 404 748 808 1111 1496 1616 1717 2222 2992 3434 4444 6868 8888 13736 17776 18887 27472 28429 36109 37774 56858 72218 75548 113716 144436 151096 227432 288872 302192 312719 397199 454864 483293 577744 613853 625438 794398 966586 1227706 1250876 1588796 1933172 2455412 2501752 2871329 3177592 3647009 3866344 4910824 5003504 5316223 5742658 6355184 6752383 7294018 7732688 9821648 10632446 11485316 13504766 14588036 21264892 22970632 27009532 29176072 31584619 40117099 42529784 45941264 48812593 54019064 58352144 61999153 63169238 80234198 85059568 97625186 108038128 123998306 126338476 160468396 195250372 247996612 252676952 320936792 390500744 495993224 505353904 536938523 641873584 681990683 781001488 991986448 1026542761 1073877046 1363981366 2053085522 2147754092 2727962732 4106171044 4295508184 5455925464 8212342088 8591016368 10911850928 11291970371 16424684176 17451226937 22583940742 34902453874 45167881484 69804907748 90335762968 103680818861 139609815496 180671525936 191963496307 207361637722 279219630992 383926992614 414723275444 767853985228 829446550888 1140489007471 1535707970456 1658893101776 1762573920637 2280978014942 3071415940912 3525147841274 4561956029884 7050295682548 9123912059768 14100591365096 18247824119536 19388313127007 28201182730192 38776626254014 77553252508028 155106505016056 310213010032112