Search a number
-
+
102661326502434 = 23372511082035103
BaseRepresentation
bin10111010101111010110011…
…111001011111101000100010
3111110111022211100122112202000
4113111322303321133220202
5101424000344041034214
61002201543505504430
730424015242154140
oct2725726371375042
9443438740575660
10102661326502434
112a790473487517
12b620552642116
134538bc984b97b
141b4cb98658590
15bd06cb545809
hex5d5eb3e5fa22

102661326502434 has 64 divisors (see below), whose sum is σ = 261765932359680. Its totient is φ = 29214947754000.

The previous prime is 102661326502429. The next prime is 102661326502457. The reversal of 102661326502434 is 434205623166201.

102661326502434 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 6 + 132 + 6 + 502 + 4 + 3 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102661326502434.

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, 540922674 + ... + 541112429.

It is an arithmetic number, because the mean of its divisors is an integer number (4090092693120).

Almost surely, 2102661326502434 is an apocalyptic number.

102661326502434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102661326502434 is an abundant number, since it is smaller than the sum of its proper divisors (159104605857246).

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

102661326502434 is a wasteful number, since it uses less digits than its factorization.

102661326502434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082035372 (or 1082035366 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

Adding to 102661326502434 its reverse (434205623166201), we get a palindrome (536866949668635).

The spelling of 102661326502434 in words is "one hundred two trillion, six hundred sixty-one billion, three hundred twenty-six million, five hundred two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 251 378 502 753 1506 1757 2259 3514 4518 5271 6777 10542 13554 15813 31626 47439 94878 1082035103 2164070206 3246105309 6492210618 7574245721 9738315927 15148491442 19476631854 22722737163 29214947781 45445474326 58429895562 68168211489 136336422978 204504634467 271590810853 409009268934 543181621706 814772432559 1629544865118 1901135675971 2444317297677 3802271351942 4888634595354 5703407027913 7332951893031 11406814055826 14665903786062 17110221083739 34220442167478 51330663251217 102661326502434