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31111300001334 = 2373722994792317
BaseRepresentation
bin1110001001011101010011…
…11111000010111000110110
311002011012200222201001220210
413010232221333002320312
513034211420300020314
6150100200043010250
76360501005503110
oct704565177027066
9132135628631823
1031111300001334
119a05256865323
1235a56b3509986
131448a24340437
14797b1b4d83b0
1538e422828559
hex1c4ba9fc2e36

31111300001334 has 128 divisors (see below), whose sum is σ = 73430652994560. Its totient is φ = 8601747872256.

The previous prime is 31111300001333. The next prime is 31111300001351. The reversal of 31111300001334 is 43310000311113.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 31111300001334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31111300001333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336958944 + ... + 337051260.

It is an arithmetic number, because the mean of its divisors is an integer number (573676976520).

Almost surely, 231111300001334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31111300001334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36715326497280).

31111300001334 is an abundant number, since it is smaller than the sum of its proper divisors (42319352993226).

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

31111300001334 is a wasteful number, since it uses less digits than its factorization.

31111300001334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93542.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 31111300001334 its reverse (43310000311113), we get a palindrome (74421300312447).

The spelling of 31111300001334 in words is "thirty-one trillion, one hundred eleven billion, three hundred million, one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 229 259 458 518 687 777 947 1374 1554 1603 1894 2841 3206 4809 5682 6629 8473 9618 13258 16946 19887 25419 35039 39774 50838 59311 70078 92317 105117 118622 177933 184634 210234 216863 245273 276951 355866 433726 490546 553902 646219 650589 735819 1292438 1301178 1471638 1518041 1938657 3036082 3415729 3877314 4554123 6831458 8023931 9108246 10247187 16047862 20494374 21140593 23910103 24071793 42281186 47820206 48143586 56167517 63421779 71730309 87424199 112335034 126843558 143460618 147984151 168502551 174848398 262272597 295968302 337005102 443952453 524545194 611969393 782201941 887904906 1223938786 1564403882 1835908179 2346605823 3234695363 3671816358 4693211646 5475413587 6469390726 9704086089 10950827174 16426240761 19408172178 20020141571 22642867541 32852481522 40040283142 45285735082 60060424713 67928602623 120120849426 135857205246 140140990997 280281981994 420422972991 740745238127 840845945982 1481490476254 2222235714381 4444471428762 5185216666889 10370433333778 15555650000667 31111300001334