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231212242212132 = 223711272136817883
BaseRepresentation
bin110100100100100101001011…
…100100001001010100100100
31010022122200012200220201222010
4310210211023210021110210
5220301140133001242012
62135425234314234220
766462350621551446
oct6444451344112444
91108580180821863
10231212242212132
116774261a046685
1221b22594125970
139c022b439431c
144114a37366496
151bae5636bac3c
hexd2494b909524

231212242212132 has 48 divisors (see below), whose sum is σ = 551401581330432. Its totient is φ = 75386934876960.

The previous prime is 231212242212101. The next prime is 231212242212239.

It is a happy number.

231212242212132 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 231212242212132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1068300738 + ... + 1068517145.

It is an arithmetic number, because the mean of its divisors is an integer number (11487532944384).

Almost surely, 2231212242212132 is an apocalyptic number.

It is an amenable number.

231212242212132 is an abundant number, since it is smaller than the sum of its proper divisors (320189339118300).

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

231212242212132 is a wasteful number, since it uses less digits than its factorization.

231212242212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136818088 (or 2136818086 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The spelling of 231212242212132 in words is "two hundred thirty-one trillion, two hundred twelve billion, two hundred forty-two million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 71 127 142 213 254 284 381 426 508 762 852 1524 9017 18034 27051 36068 54102 108204 2136817883 4273635766 6410453649 8547271532 12820907298 25641814596 151714069693 271375871141 303428139386 455142209079 542751742282 606856278772 814127613423 910284418158 1085503484564 1628255226846 1820568836316 3256510453692 19267686851011 38535373702022 57803060553033 77070747404044 115606121106066 231212242212132