Search a number
-
+
102130230123222 = 237331251639919
BaseRepresentation
bin10111001110001100001100…
…000101100101101011010110
3111101121112222100010002120220
4113032030030011211223112
5101341300202402420342
61001113551403135210
730340444211343000
oct2716141405455326
9441545870102526
10102130230123222
112a5a6207414074
12b555633514506
1344caabb155212
141b311b5551370
15bc199591a5ec
hex5ce30c165ad6

102130230123222 has 96 divisors (see below), whose sum is σ = 246136514688000. Its totient is φ = 28238772759120.

The previous prime is 102130230123209. The next prime is 102130230123227. The reversal of 102130230123222 is 222321032031201.

It is a super-2 number, since 2×1021302301232222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102130230123192 and 102130230123201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102130230123227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23842222 + ... + 27797697.

It is an arithmetic number, because the mean of its divisors is an integer number (2563922028000).

Almost surely, 2102130230123222 is an apocalyptic number.

102130230123222 is an abundant number, since it is smaller than the sum of its proper divisors (144006284564778).

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

102130230123222 is an equidigital number, since it uses as much as digits as its factorization.

102130230123222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51640007 (or 51639962 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102130230123222 its reverse (222321032031201), we get a palindrome (324451262154423).

The spelling of 102130230123222 in words is "one hundred two trillion, one hundred thirty billion, two hundred thirty million, one hundred twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 343 434 651 686 961 1029 1302 1519 1922 2058 2883 3038 4557 5766 6727 9114 10633 13454 20181 21266 31899 40362 47089 63798 94178 141267 282534 329623 659246 988869 1977738 51639919 103279838 154919757 309839514 361479433 722958866 1084438299 1600837489 2168876598 2530356031 3201674978 4802512467 5060712062 7591068093 9605024934 11205862423 15182136186 17712492217 22411724846 33617587269 35424984434 49625962159 53137476651 67235174538 78441036961 99251924318 106274953302 148877886477 156882073922 235323110883 297755772954 347381735113 470646221766 549087258727 694763470226 1042145205339 1098174517454 1647261776181 2084290410678 2431672145791 3294523552362 4863344291582 7295016437373 14590032874746 17021705020537 34043410041074 51065115061611 102130230123222