Search a number
-
+
12321133131030 = 2351635717440731
BaseRepresentation
bin1011001101001011110011…
…0000110111010100010110
31121121212222221201102100020
42303102330300313110112
53103332140040143110
642112130031330010
72411113110413643
oct263227460672426
947555887642306
1012321133131030
113a203aa494249
12146bb02680906
136b4b548a6c49
143084bb6cadca
1516577aa77d70
hexb34bcc37516

12321133131030 has 64 divisors (see below), whose sum is σ = 29757406641408. Its totient is φ = 3264899633280.

The previous prime is 12321133131029. The next prime is 12321133131059. The reversal of 12321133131030 is 3013133112321.

It is a super-2 number, since 2×123211331310302 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27735765 + ... + 28176495.

It is an arithmetic number, because the mean of its divisors is an integer number (464959478772).

Almost surely, 212321133131030 is an apocalyptic number.

12321133131030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12321133131030 is an abundant number, since it is smaller than the sum of its proper divisors (17436273510378).

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

12321133131030 is a wasteful number, since it uses less digits than its factorization.

12321133131030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446621.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 12321133131030 its reverse (3013133112321), we get a palindrome (15334266243351).

The spelling of 12321133131030 in words is "twelve trillion, three hundred twenty-one billion, one hundred thirty-three million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 163 326 489 815 978 1630 2445 4890 5717 11434 17151 28585 34302 57170 85755 171510 440731 881462 931871 1322193 1863742 2203655 2644386 2795613 4407310 4659355 5591226 6610965 9318710 13221930 13978065 27956130 71839153 143678306 215517459 359195765 431034918 718391530 1077587295 2155174590 2519659127 5039318254 7558977381 12598295635 15117954762 25196591270 37794886905 75589773810 410704437701 821408875402 1232113313103 2053522188505 2464226626206 4107044377010 6160566565515 12321133131030