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31020011120112 = 2437717391759543
BaseRepresentation
bin1110000110110011010001…
…01111100110010111110000
311001211111001220120102010220
413003121220233212113300
513031212440321320422
6145550221341253040
76351056536015260
oct703315057462760
9131744056512126
1031020011120112
11997a570650743
12358ba76b64180
1314402364a7061
1479353b3717a0
1538bd7d255e5c
hex1c3668be65f0

31020011120112 has 160 divisors (see below), whose sum is σ = 92998516285440. Its totient is φ = 8726202213120.

The previous prime is 31020011120101. The next prime is 31020011120233. The reversal of 31020011120112 is 21102111002013.

It is a junction number, because it is equal to n+sod(n) for n = 31020011120091 and 31020011120100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16749813 + ... + 18509355.

It is an arithmetic number, because the mean of its divisors is an integer number (581240726784).

Almost surely, 231020011120112 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 31020011120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46499258142720).

31020011120112 is an abundant number, since it is smaller than the sum of its proper divisors (61978505165328).

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

31020011120112 is a wasteful number, since it uses less digits than its factorization.

31020011120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760371 (or 1760365 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 31020011120112 its reverse (21102111002013), we get a palindrome (52122122122125).

The spelling of 31020011120112 in words is "thirty-one trillion, twenty billion, eleven million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 739 852 994 1136 1478 1491 1704 1988 2217 2956 2982 3408 3976 4434 5173 5912 5964 7952 8868 10346 11824 11928 15519 17736 20692 23856 31038 35472 41384 52469 62076 82768 104938 124152 157407 209876 248304 314814 367283 419752 629628 734566 839504 1101849 1259256 1469132 1759543 2203698 2518512 2938264 3519086 4407396 5278629 5876528 7038172 8814792 10557258 12316801 14076344 17629584 21114516 24633602 28152688 36950403 42229032 49267204 73900806 84458064 98534408 124927553 147801612 197068816 249855106 295603224 374782659 499710212 591206448 749565318 874492871 999420424 1300302277 1499130636 1748985742 1998840848 2600604554 2623478613 2998261272 3497971484 3900906831 5201209108 5246957226 5996522544 6995942968 7801813662 9102115939 10402418216 10493914452 13991885936 15603627324 18204231878 20804836432 20987828904 27306347817 31207254648 36408463756 41975657808 54612695634 62414509296 72816927512 92321461667 109225391268 145633855024 184642923334 218450782536 276964385001 369285846668 436901565072 553928770002 646250231669 738571693336 1107857540004 1292500463338 1477143386672 1938750695007 2215715080008 2585000926676 3877501390014 4431430160016 5170001853352 7755002780028 10340003706704 15510005560056 31020011120112