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101323231301310 = 235613471171136261
BaseRepresentation
bin10111000010011100100111…
…001101011000111010111110
3111021202101222012110100211220
4113002130213031120322332
5101240034434203120220
6555255125545454210
730225235061466234
oct2702344715307276
9437671865410756
10101323231301310
112a314a3963a937
12b4451551a1366
13446c9801c5c05
141b040db898954
15baa9b2e93540
hex5c2727358ebe

101323231301310 has 128 divisors (see below), whose sum is σ = 248088024350208. Its totient is φ = 26477171136000.

The previous prime is 101323231301309. The next prime is 101323231301351. The reversal of 101323231301310 is 13103132323101.

It is a super-2 number, since 2×1013232313013102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 743528580 + ... + 743664840.

It is an arithmetic number, because the mean of its divisors is an integer number (1938187690236).

Almost surely, 2101323231301310 is an apocalyptic number.

101323231301310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101323231301310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124044012175104).

101323231301310 is an abundant number, since it is smaller than the sum of its proper divisors (146764793048898).

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

101323231301310 is a wasteful number, since it uses less digits than its factorization.

101323231301310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137850.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 101323231301310 its reverse (13103132323101), we get a palindrome (114426363624411).

The spelling of 101323231301310 in words is "one hundred one trillion, three hundred twenty-three billion, two hundred thirty-one million, three hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 347 366 610 694 915 1041 1171 1735 1830 2082 2342 3470 3513 5205 5855 7026 10410 11710 17565 21167 35130 42334 63501 71431 105835 127002 136261 142862 211670 214293 272522 317505 357155 406337 408783 428586 635010 681305 714310 812674 817566 1071465 1219011 1362610 2031685 2043915 2142930 2438022 4063370 4087830 6095055 8311921 12190110 16623842 24786557 24935763 41559605 47282567 49573114 49871526 74359671 83119210 94565134 123932785 124678815 141847701 148719342 159561631 236412835 247865570 249357630 283695402 319123262 371798355 472825670 478684893 709238505 743596710 797808155 957369786 1418477010 1595616310 2393424465 2884236587 4786848930 5768473174 8652709761 9733259491 14421182935 17305419522 19466518982 28842365870 29199778473 43263548805 48666297455 55367885957 58399556946 86527097610 97332594910 110735771914 145998892365 166103657871 276839429785 291997784730 332207315742 553678859570 830518289355 1661036578710 3377441043377 6754882086754 10132323130131 16887205216885 20264646260262 33774410433770 50661615650655 101323231301310