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132300514244031 = 37313713740092049
BaseRepresentation
bin11110000101001110011101…
…001001111011010110111111
3122100102210202022102110200020
4132011032131021323112333
5114320102423121302111
61145214003414103223
736603253035143010
oct3605163511732677
9570383668373606
10132300514244031
1139178373250481
1212a0888664ab13
1358a8b67349763
1424955441b3007
15104668ee63906
hex78539d27b5bf

132300514244031 has 64 divisors (see below), whose sum is σ = 215288535244800. Its totient is φ = 70664640122880.

The previous prime is 132300514244029. The next prime is 132300514244051. The reversal of 132300514244031 is 130442415003231.

It is not a de Polignac number, because 132300514244031 - 21 = 132300514244029 is a prime.

It is a super-2 number, since 2×1323005142440312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132300514243983 and 132300514244001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132300514244051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16746106 + ... + 23345943.

It is an arithmetic number, because the mean of its divisors is an integer number (3363883363200).

Almost surely, 2132300514244031 is an apocalyptic number.

132300514244031 is a deficient number, since it is larger than the sum of its proper divisors (82988021000769).

132300514244031 is a wasteful number, since it uses less digits than its factorization.

132300514244031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40092264.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 132300514244031 its reverse (130442415003231), we get a palindrome (262742929247262).

The spelling of 132300514244031 in words is "one hundred thirty-two trillion, three hundred billion, five hundred fourteen million, two hundred forty-four thousand, thirty-one".

Divisors: 1 3 7 21 31 37 93 111 137 217 259 411 651 777 959 1147 2877 3441 4247 5069 8029 12741 15207 24087 29729 35483 89187 106449 157139 471417 1099973 3299919 40092049 120276147 280644343 841933029 1242853519 1483405813 3728560557 4450217439 5492610713 8699974633 10383840691 16477832139 26099923899 31151522073 38448274991 45985580203 115344824973 137956740609 170270932103 203226596381 321899061421 510812796309 609679789143 965697184263 1191896524721 1422586174667 3575689574163 4267758524001 6300024487811 18900073463433 44100171414677 132300514244031