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31312230012102 = 231323137167762877
BaseRepresentation
bin1110001111010011100100…
…10110001101010011000110
311002212102100010222012100110
413013221302112031103012
513101004421340341402
6150332350114253450
76411143151430554
oct707516226152306
9132772303865313
1031312230012102
119a82495596366
12361862a587286
131461966232b30
147a373cd08bd4
1539478275656c
hex1c7a7258d4c6

31312230012102 has 128 divisors (see below), whose sum is σ = 71312224241664. Its totient is φ = 9093579568128.

The previous prime is 31312230012061. The next prime is 31312230012131. The reversal of 31312230012102 is 20121003221313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40663488 + ... + 41426364.

It is an arithmetic number, because the mean of its divisors is an integer number (557126751888).

Almost surely, 231312230012102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31312230012102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35656112120832).

31312230012102 is an abundant number, since it is smaller than the sum of its proper divisors (39999994229562).

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

31312230012102 is a wasteful number, since it uses less digits than its factorization.

31312230012102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763222.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 31312230012102 its reverse (20121003221313), we get a palindrome (51433233233415).

The spelling of 31312230012102 in words is "thirty-one trillion, three hundred twelve billion, two hundred thirty million, twelve thousand, one hundred two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 137 138 167 274 299 334 411 501 598 822 897 1002 1781 1794 2171 3151 3562 3841 4342 5343 6302 6513 7682 9453 10686 11523 13026 18906 22879 23046 40963 45758 49933 68637 81926 99866 122889 137274 149799 245778 297427 299598 526217 594854 762877 892281 1052434 1525754 1578651 1784562 2288631 3157302 4577262 6840821 9917401 13681642 17546171 19834802 20522463 29752203 35092342 41044926 52638513 59504406 104514149 105277026 127400459 209028298 228100223 254800918 313542447 382201377 456200446 627084894 684300669 764402754 1358683937 1368601338 1656205967 2403825427 2717367874 2930210557 3312411934 4076051811 4807650854 4968617901 5860421114 7211476281 8152103622 8790631671 9937235802 14422952562 17453862883 17581263342 31249730551 34907725766 38092737241 52361588649 62499461102 76185474482 93749191653 104723177298 114278211723 187498383306 226900217479 228556423446 401438846309 453800434958 680700652437 802877692618 1204316538927 1361401304874 2408633077854 5218705002017 10437410004034 15656115006051 31312230012102