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132302313313110 = 23252396150735161
BaseRepresentation
bin11110000101010000001000…
…011000110101001101010110
3122100102222101200200122111100
4132011100020120311031112
5114320120114202004420
61145214502122250530
736603345442032243
oct3605201030651526
9570388350618440
10132302313313110
1139179106829726
1212a090a9056a46
1358a9092ca1b85
1424956750c65ca
151046747d86190
hex785408635356

132302313313110 has 48 divisors (see below), whose sum is σ = 345425286697920. Its totient is φ = 35132999233920.

The previous prime is 132302313313091. The next prime is 132302313313129. The reversal of 132302313313110 is 11313313203231.

132302313313110 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 0 + 2 + 313 + 31 + 311 + 0 = 666.

132302313313110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132302313313091) and next prime (132302313313129).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3075346071 + ... + 3075389090.

It is an arithmetic number, because the mean of its divisors is an integer number (7196360139540).

Almost surely, 2132302313313110 is an apocalyptic number.

132302313313110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132302313313110 is an abundant number, since it is smaller than the sum of its proper divisors (213122973384810).

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

132302313313110 is a wasteful number, since it uses less digits than its factorization.

132302313313110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6150735413 (or 6150735410 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 132302313313110 its reverse (11313313203231), we get a palindrome (143615626516341).

The spelling of 132302313313110 in words is "one hundred thirty-two trillion, three hundred two billion, three hundred thirteen million, three hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 239 478 717 1195 1434 2151 2390 3585 4302 7170 10755 21510 6150735161 12301470322 18452205483 30753675805 36904410966 55356616449 61507351610 92261027415 110713232898 184522054830 276783082245 553566164490 1470025703479 2940051406958 4410077110437 7350128517395 8820154220874 13230231331311 14700257034790 22050385552185 26460462662622 44100771104370 66151156656555 132302313313110