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132122103432 = 233111992514887
BaseRepresentation
bin111101100001100010…
…1110100111010001000
3110122000211001021021020
41323003011310322020
54131041224302212
6140410203112440
712355052230554
oct1730305647210
9418024037236
10132122103432
115103a534920
1221733512720
13c5c7731337
14657526a864
1536842e4d8c
hex1ec3174e88

132122103432 has 64 divisors (see below), whose sum is σ = 362143872000. Its totient is φ = 39835794240.

The previous prime is 132122103409. The next prime is 132122103433. The reversal of 132122103432 is 234301221231.

It is a super-2 number, since 2×1321221034322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (132122103433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1204908 + ... + 1309979.

It is an arithmetic number, because the mean of its divisors is an integer number (5658498000).

Almost surely, 2132122103432 is an apocalyptic number.

132122103432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132122103432 is an abundant number, since it is smaller than the sum of its proper divisors (230021768568).

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

132122103432 is a wasteful number, since it uses less digits than its factorization.

132122103432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515106 (or 2515102 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132122103432 its reverse (234301221231), we get a palindrome (366423324663).

The spelling of 132122103432 in words is "one hundred thirty-two billion, one hundred twenty-two million, one hundred three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 199 264 398 597 796 1194 1592 2189 2388 4378 4776 6567 8756 13134 17512 26268 52536 2514887 5029774 7544661 10059548 15089322 20119096 27663757 30178644 55327514 60357288 82991271 110655028 165982542 221310056 331965084 500462513 663930168 1000925026 1501387539 2001850052 3002775078 4003700104 5505087643 6005550156 11010175286 12011100312 16515262929 22020350572 33030525858 44040701144 66061051716 132122103432