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133412422300 = 225223556310427
BaseRepresentation
bin111110001000000000…
…0000000001010011100
3110202100202000020222221
41330100000000022130
54141212040003200
6141142215115124
712432040610263
oct1742000001234
9422322006887
10133412422300
115164191a553
1221a33672aa4
13c771b59921
14665878b5da
15370c72191a
hex1f1000029c

133412422300 has 72 divisors (see below), whose sum is σ = 302175409536. Its totient is φ = 51030682560.

The previous prime is 133412422259. The next prime is 133412422307. The reversal of 133412422300 is 3224214331.

It is a super-3 number, since 3×1334124223003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133412422307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12789687 + ... + 12800113.

It is an arithmetic number, because the mean of its divisors is an integer number (4196880688).

Almost surely, 2133412422300 is an apocalyptic number.

133412422300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133412422300 is an abundant number, since it is smaller than the sum of its proper divisors (168762987236).

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

133412422300 is a wasteful number, since it uses less digits than its factorization.

133412422300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16027 (or 16020 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 133412422300 its reverse (3224214331), we get a palindrome (136636636631).

The spelling of 133412422300 in words is "one hundred thirty-three billion, four hundred twelve million, four hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 5563 10427 11126 20854 22252 27815 41708 52135 55630 104270 111260 127949 139075 208540 239821 255898 260675 278150 479642 511796 521350 556300 639745 959284 1042700 1199105 1279490 2398210 2558980 3198725 4796420 5995525 6397450 11991050 12794900 23982100 58005401 116010802 232021604 290027005 580054010 1160108020 1334124223 1450135025 2668248446 2900270050 5336496892 5800540100 6670621115 13341242230 26682484460 33353105575 66706211150 133412422300