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211331133112 = 23112401490149
BaseRepresentation
bin1100010011010001010…
…0010010111010111000
3202012111000210212222011
43010310110102322320
511430301232224422
6241030103335304
721160660664341
oct3046424227270
9665430725864
10211331133112
1181696a08220
1234b5a451534
1316c0ba25278
14a32ad4b0c8
15576d122077
hex3134512eb8

211331133112 has 16 divisors (see below), whose sum is σ = 432268227000. Its totient is φ = 96059605920.

The previous prime is 211331133077. The next prime is 211331133119.

211331133112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211331133119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1200744987 + ... + 1200745162.

Almost surely, 2211331133112 is an apocalyptic number.

211331133112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211331133112 is an abundant number, since it is smaller than the sum of its proper divisors (220937093888).

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

211331133112 is a wasteful number, since it uses less digits than its factorization.

211331133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401490166 (or 2401490162 counting only the distinct ones).

The product of its digits is 324, while the sum is 22.

It can be divided in two parts, 211331 and 133112, that added together give a palindrome (344443).

The spelling of 211331133112 in words is "two hundred eleven billion, three hundred thirty-one million, one hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 2401490149 4802980298 9605960596 19211921192 26416391639 52832783278 105665566556 211331133112