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211232232112 = 24111489806033
BaseRepresentation
bin1100010010111001101…
…1000001001010110000
3202012020010201012022011
43010232123001022300
511430100422411422
6241012211452304
721155350230256
oct3045633011260
9665203635264
10211232232112
11816460a7460
1234b312b7094
1316bc43a7a75
14a31bb645d6
1557645d8077
hex312e6c12b0

211232232112 has 40 divisors (see below), whose sum is σ = 446768525520. Its totient is φ = 95950049280.

The previous prime is 211232232103. The next prime is 211232232121.

211232232112 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (211232232103) and next prime (211232232121).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140953 + ... + 665080.

It is an arithmetic number, because the mean of its divisors is an integer number (11169213138).

Almost surely, 2211232232112 is an apocalyptic number.

211232232112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211232232112 is an abundant number, since it is smaller than the sum of its proper divisors (235536293408).

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

211232232112 is a wasteful number, since it uses less digits than its factorization.

211232232112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807541 (or 807535 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

It can be divided in two parts, 211232 and 232112, that added together give a palindrome (443344).

The spelling of 211232232112 in words is "two hundred eleven billion, two hundred thirty-two million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 1489 2978 5956 11912 16379 23824 32758 65516 131032 262064 806033 1612066 3224132 6448264 8866363 12896528 17732726 35465452 70930904 141861808 1200183137 2400366274 4800732548 9601465096 13202014507 19202930192 26404029014 52808058028 105616116056 211232232112