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133211102120 = 23529114837157
BaseRepresentation
bin111110000010000000…
…0000001101110101000
3110201211201012010121222
41330010000001232220
54140304020231440
6141110224121212
712424044454055
oct1740400015650
9421751163558
10133211102120
1151549215738
1221998166208
13c73c22c765
146639b4402c
1536e9c062b5
hex1f04001ba8

133211102120 has 32 divisors (see below), whose sum is σ = 310060326600. Its totient is φ = 51447045888.

The previous prime is 133211102117. The next prime is 133211102147. The reversal of 133211102120 is 21201112331.

It can be written as a sum of positive squares in 4 ways, for example, as 58945041796 + 74266060324 = 242786^2 + 272518^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57417419 + ... + 57419738.

Almost surely, 2133211102120 is an apocalyptic number.

133211102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133211102120 is an abundant number, since it is smaller than the sum of its proper divisors (176849224480).

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

133211102120 is a wasteful number, since it uses less digits than its factorization.

133211102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114837197 (or 114837193 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 133211102120 its reverse (21201112331), we get a palindrome (154412214451).

The spelling of 133211102120 in words is "one hundred thirty-three billion, two hundred eleven million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 114837157 229674314 459348628 574185785 918697256 1148371570 2296743140 3330277553 4593486280 6660555106 13321110212 16651387765 26642220424 33302775530 66605551060 133211102120