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102002034021140 = 225113733973131027
BaseRepresentation
bin10111001100010100110011…
…000000010001001100010100
3111101011022002010112100201002
4113030110303000101030110
5101332200131202134030
61000535030523522432
730325255330426151
oct2714246300211424
9441138063470632
10102002034021140
112a556902021170
12b534816989418
1344bb99ac06a06
141b28cd3895228
15bbd491130245
hex5cc533011314

102002034021140 has 96 divisors (see below), whose sum is σ = 234894129047424. Its totient is φ = 36899016168960.

The previous prime is 102002034021091. The next prime is 102002034021169. The reversal of 102002034021140 is 41120430200201.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 31012307 + ... + 34143333.

It is an arithmetic number, because the mean of its divisors is an integer number (2446813844244).

Almost surely, 2102002034021140 is an apocalyptic number.

102002034021140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102002034021140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117447064523712).

102002034021140 is an abundant number, since it is smaller than the sum of its proper divisors (132892095026284).

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

102002034021140 is a wasteful number, since it uses less digits than its factorization.

102002034021140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131817 (or 3131815 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 102002034021140 its reverse (41120430200201), we get a palindrome (143122464221341).

The spelling of 102002034021140 in words is "one hundred two trillion, two billion, thirty-four million, twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 373 397 746 794 1492 1588 1865 1985 3730 3970 4103 4367 7460 7940 8206 8734 16412 17468 20515 21835 41030 43670 82060 87340 148081 296162 592324 740405 1480810 1628891 2961620 3131027 3257782 6262054 6515564 8144455 12524108 15655135 16288910 31310270 32577820 34441297 62620540 68882594 137765188 172206485 344412970 688825940 1167873071 1243017719 2335746142 2486035438 4671492284 4972070876 5839365355 6215088595 11678730710 12430177190 12846603781 13673194909 23357461420 24860354380 25693207562 27346389818 51386415124 54692779636 64233018905 68365974545 128466037810 136731949090 256932075620 273463898180 463645609187 927291218374 1854582436748 2318228045935 4636456091870 5100101701057 9272912183740 10200203402114 20400406804228 25500508505285 51001017010570 102002034021140