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132214522532310 = 23255023129245889
BaseRepresentation
bin11110000011111110010111…
…101001100101000111010110
3122100010120210101211220101100
4132003332113221211013112
5114312200320232013220
61145110302501210530
736564120056513061
oct3603762751450726
9570116711756340
10132214522532310
1139144956164729
12129b4088100a46
1358a0a11a8b5ba
1424913077858d8
15104430a947d90
hex783f97a651d6

132214522532310 has 48 divisors (see below), whose sum is σ = 343764613876320. Its totient is φ = 35256502901760.

The previous prime is 132214522532291. The next prime is 132214522532311. The reversal of 132214522532310 is 13235225412231.

132214522532310 is a `hidden beast` number, since 1 + 32 + 2 + 1 + 45 + 22 + 532 + 31 + 0 = 666.

It is a super-2 number, since 2×1322145225323102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132214522532311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10102155 + ... + 19143734.

It is an arithmetic number, because the mean of its divisors is an integer number (7161762789090).

Almost surely, 2132214522532310 is an apocalyptic number.

132214522532310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132214522532310 is an abundant number, since it is smaller than the sum of its proper divisors (211550091344010).

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

132214522532310 is a wasteful number, since it uses less digits than its factorization.

132214522532310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29296133 (or 29296130 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 132214522532310 its reverse (13235225412231), we get a palindrome (145449747944541).

The spelling of 132214522532310 in words is "one hundred thirty-two trillion, two hundred fourteen billion, five hundred twenty-two million, five hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 50231 100462 150693 251155 301386 452079 502310 753465 904158 1506930 2260395 4520790 29245889 58491778 87737667 146229445 175475334 263213001 292458890 438688335 526426002 877376670 1316065005 2632130010 1469050250359 2938100500718 4407150751077 7345251251795 8814301502154 13221452253231 14690502503590 22035753755385 26442904506462 44071507510770 66107261266155 132214522532310