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132330102240 = 2535739383959
BaseRepresentation
bin111101100111101111…
…1010001110111100000
3110122120022102200222210
41323033133101313200
54132003001232430
6140442553202120
712363156211230
oct1731737216740
9418508380883
10132330102240
1151136990466
1221791100340
13c62b85935b
146594b31cc0
1536976ce2b0
hex1ecf7d1de0

132330102240 has 96 divisors (see below), whose sum is σ = 476388380160. Its totient is φ = 30246879744.

The previous prime is 132330102239. The next prime is 132330102241. The reversal of 132330102240 is 42201033231.

It is an interprime number because it is at equal distance from previous prime (132330102239) and next prime (132330102241).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1323301022402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132330102241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19688620 + ... + 19695339.

It is an arithmetic number, because the mean of its divisors is an integer number (4962378960).

Almost surely, 2132330102240 is an apocalyptic number.

132330102240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132330102240 is an abundant number, since it is smaller than the sum of its proper divisors (344058277920).

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

132330102240 is a wasteful number, since it uses less digits than its factorization.

132330102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39383984 (or 39383976 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 132330102240 its reverse (42201033231), we get a palindrome (174531135471).

The spelling of 132330102240 in words is "one hundred thirty-two billion, three hundred thirty million, one hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 39383959 78767918 118151877 157535836 196919795 236303754 275687713 315071672 393839590 472607508 551375426 590759385 630143344 787679180 827063139 945215016 1102750852 1181518770 1260286688 1378438565 1575358360 1654126278 1890430032 2205501704 2363037540 2756877130 3150716720 3308252556 3780860064 4135315695 4411003408 4726075080 5513754260 6301433440 6616505112 8270631390 8822006816 9452150160 11027508520 13233010224 16541262780 18904300320 22055017040 26466020448 33082525560 44110034080 66165051120 132330102240