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102000131312030 = 257103113247750543
BaseRepresentation
bin10111001100010011000001…
…100110000000100110011110
3111101011010011112020201111022
4113030103001212000212132
5101332132232103441110
61000534114034124142
730325160224604240
oct2714230146004636
9441133145221438
10102000131312030
112a556015a956a6
12b534385720652
1344bb756965033
141b28b92cc4090
15bbd3ce089755
hex5cc4c198099e

102000131312030 has 128 divisors (see below), whose sum is σ = 213831456104448. Its totient is φ = 34310930798592.

The previous prime is 102000131311997. The next prime is 102000131312039. The reversal of 102000131312030 is 30213131000201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000131312039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2018060939 + ... + 2018111481.

It is an arithmetic number, because the mean of its divisors is an integer number (1670558250816).

Almost surely, 2102000131312030 is an apocalyptic number.

102000131312030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102000131312030 is an abundant number, since it is smaller than the sum of its proper divisors (111831324792418).

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

102000131312030 is a wasteful number, since it uses less digits than its factorization.

102000131312030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53250.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 102000131312030 its reverse (30213131000201), we get a palindrome (132213262312231).

The spelling of 102000131312030 in words is "one hundred two trillion, one hundred thirty-one million, three hundred twelve thousand, thirty".

Divisors: 1 2 5 7 10 14 35 70 103 113 206 226 515 565 721 791 1030 1130 1442 1582 2477 3605 3955 4954 7210 7910 11639 12385 17339 23278 24770 34678 50543 58195 81473 86695 101086 116390 162946 173390 252715 255131 279901 353801 407365 505430 510262 559802 707602 814730 1275655 1399505 1769005 1785917 1959307 2551310 2799010 3538010 3571834 3918614 5205929 5711359 8929585 9796535 10411858 11422718 17859170 19593070 26029645 28556795 28829803 36441503 39979513 52059290 57113590 57659606 72883006 79959026 125195011 144149015 182207515 199897565 201808621 250390022 288298030 364415030 399795130 403617242 588269977 625975055 876365077 1009043105 1176539954 1251950110 1752730154 2018086210 2941349885 4117889839 4381825385 5882699770 8235779678 8763650770 12895086133 14147036243 20589449195 25790172266 28294072486 41178898390 64475430665 70735181215 90265602931 99029253701 128950861330 141470362430 180531205862 198058507402 451328014655 495146268505 902656029310 990292537010 1457144733029 2914289466058 7285723665145 10200013131203 14571447330290 20400026262406 51000065656015 102000131312030