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31013221310132 = 2247732891093191
BaseRepresentation
bin1110000110100110101000…
…00010100001111010110100
311001210211112201100022212012
413003103110002201322310
513031110034123411012
6145543135512143352
76350426351414015
oct703232402417264
9131724481308765
1031013221310132
1199776a6a09a36
12358a6a1097b58
13143c6c38b5609
147930956cb00c
1538bad210a622
hex1c34d40a1eb4

31013221310132 has 144 divisors (see below), whose sum is σ = 57368345126400. Its totient is φ = 14660213483520.

The previous prime is 31013221310083. The next prime is 31013221310153. The reversal of 31013221310132 is 23101312231013.

It is a junction number, because it is equal to n+sod(n) for n = 31013221310098 and 31013221310107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9718964657 + ... + 9718967847.

It is an arithmetic number, because the mean of its divisors is an integer number (398391285600).

Almost surely, 231013221310132 is an apocalyptic number.

It is an amenable number.

31013221310132 is a deficient number, since it is larger than the sum of its proper divisors (26355123816268).

31013221310132 is a wasteful number, since it uses less digits than its factorization.

31013221310132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 31013221310132 its reverse (23101312231013), we get a palindrome (54114533541145).

The spelling of 31013221310132 in words is "thirty-one trillion, thirteen billion, two hundred twenty-one million, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 4 47 73 89 94 109 146 178 188 218 292 356 436 3191 3431 4183 5123 5329 6382 6497 6862 7957 8366 9701 10246 10658 12764 12994 13724 15914 16732 19402 20492 21316 25988 31828 38804 149977 232943 250463 283999 299954 305359 347819 373979 455947 465886 474281 500926 567998 580861 599908 610718 695638 708173 747958 911894 931772 948562 1001852 1135996 1161722 1221436 1391276 1416346 1495916 1823788 1897124 2323444 2832692 10948321 13347953 16347493 17004839 20731927 21896642 22291207 25390787 26695906 27300467 30955891 32694986 33284131 34009678 41463854 43793284 44582414 50781574 51696629 53391812 54600934 61911782 65389972 66568262 68019356 82927708 89164828 101563148 103393258 109201868 123823564 133136524 206786516 799227433 974400569 1193366989 1454926877 1513430671 1598454866 1853527451 1948801138 2259780043 2386733978 2429741563 2909853754 3026861342 3196909732 3707054902 3897602276 4519560086 4773467956 4859483126 5819707508 6053722684 7414109804 9039120172 9718966252 71131241537 87115790197 106209662021 142262483074 164963943139 174231580394 212419324042 284524966148 329927886278 348463160788 424838648084 659855772556 7753305327533 15506610655066 31013221310132