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132150453516401 = 19671071710756713
BaseRepresentation
bin11110000011000010101100…
…110101101011100001110001
3122022220110102022200200011012
4132003002230311223201301
5114310123112100011101
61145021025200000305
736556361301044165
oct3603025465534161
9568813368620135
10132150453516401
113911a768944801
12129a3787600095
1358979713270b8
14248c18a734ca5
15104280ad8abbb
hex7830acd6b871

132150453516401 has 32 divisors (see below), whose sum is σ = 142512245890560. Its totient is φ = 122164701158016.

The previous prime is 132150453516397. The next prime is 132150453516463. The reversal of 132150453516401 is 104615354051231.

It is a cyclic number.

It is not a de Polignac number, because 132150453516401 - 22 = 132150453516397 is a prime.

It is a super-2 number, since 2×1321504535164012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132150453516101) 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 31 ways as a sum of consecutive naturals, for example, 2330133221 + ... + 2330189933.

It is an arithmetic number, because the mean of its divisors is an integer number (4453507684080).

Almost surely, 2132150453516401 is an apocalyptic number.

It is an amenable number.

132150453516401 is a deficient number, since it is larger than the sum of its proper divisors (10361792374159).

132150453516401 is a wasteful number, since it uses less digits than its factorization.

132150453516401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74013.

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 132150453516401 in words is "one hundred thirty-two trillion, one hundred fifty billion, four hundred fifty-three million, five hundred sixteen thousand, four hundred one".

Divisors: 1 19 67 107 1273 2033 7169 17107 56713 136211 325033 1077547 1146169 1830449 3799771 6068291 21777211 34778531 72195649 115297529 122640083 406575497 970189291 2330161577 7724934443 18433596529 65002682497 103810254137 1235050967443 1972394828603 6955287027179 132150453516401