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102000201320112 = 24323217922441459
BaseRepresentation
bin10111001100010011000101…
…110001000100011010110000
3111101011010100101222111112020
4113030103011301010122300
5101332132403014220422
61000534125014431440
730325162034633364
oct2714230561043260
9441133311874466
10102000201320112
112a556051561817
12b5343a5062580
1344bb768307434
141b28b9c3092a4
15bbd3d52b795c
hex5cc4c5c446b0

102000201320112 has 120 divisors (see below), whose sum is σ = 276994043121600. Its totient is φ = 32340115826304.

The previous prime is 102000201320099. The next prime is 102000201320123. The reversal of 102000201320112 is 211023102000201.

It is a junction number, because it is equal to n+sod(n) for n = 102000201320091 and 102000201320100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6675562 + ... + 15765897.

It is an arithmetic number, because the mean of its divisors is an integer number (2308283692680).

Almost surely, 2102000201320112 is an apocalyptic number.

102000201320112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102000201320112 is an abundant number, since it is smaller than the sum of its proper divisors (174993841801488).

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

102000201320112 is a wasteful number, since it uses less digits than its factorization.

102000201320112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22441695 (or 22441666 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102000201320112 its reverse (211023102000201), we get a palindrome (313023303320313).

The spelling of 102000201320112 in words is "one hundred two trillion, two hundred one million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 179 184 276 358 368 529 537 552 716 1058 1074 1104 1432 1587 2116 2148 2864 3174 4117 4232 4296 6348 8234 8464 8592 12351 12696 16468 24702 25392 32936 49404 65872 94691 98808 189382 197616 284073 378764 568146 757528 1136292 1515056 2272584 4545168 22441459 44882918 67324377 89765836 134648754 179531672 269297508 359063344 516153557 538595016 1032307114 1077190032 1548460671 2064614228 3096921342 4017021161 4129228456 6193842684 8034042322 8258456912 11871531811 12051063483 12387685368 16068084644 23743063622 24102126966 24775370736 32136169288 35614595433 47486127244 48204253932 64272338576 71229190866 92391486703 94972254488 96408507864 142458381732 184782973406 189944508976 192817015728 277174460109 284916763464 369565946812 554348920218 569833526928 739131893624 1108697840436 1478263787248 2125004194169 2217395680872 4250008388338 4434791361744 6375012582507 8500016776676 12750025165014 17000033553352 25500050330028 34000067106704 51000100660056 102000201320112