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132000011012320 = 2551126818182387
BaseRepresentation
bin11110000000110110100101…
…110001000100100011100000
3122022101002002201120121210121
4132000312211301010203200
5114300142010304343240
61144423545023010024
736542454216623443
oct3600664561044340
9568332081517717
10132000011012320
1139071987a8a800
121297a5a0739914
1358867171a3b09
142484b982b765a
15103d9534ee04a
hex780da5c448e0

132000011012320 has 72 divisors (see below), whose sum is σ = 342777301374312. Its totient is φ = 48000003997440.

The previous prime is 132000011012279. The next prime is 132000011012327. The reversal of 132000011012320 is 23210110000231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 132000011012294 and 132000011012303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132000011012327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3409071834 + ... + 3409110553.

It is an arithmetic number, because the mean of its divisors is an integer number (4760795852421).

Almost surely, 2132000011012320 is an apocalyptic number.

132000011012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132000011012320 is an abundant number, since it is smaller than the sum of its proper divisors (210777290361992).

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

132000011012320 is a wasteful number, since it uses less digits than its factorization.

132000011012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6818182424 (or 6818182405 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 132000011012320 its reverse (23210110000231), we get a palindrome (155210121012551).

The spelling of 132000011012320 in words is "one hundred thirty-two trillion, eleven million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 19360 6818182387 13636364774 27272729548 34090911935 54545459096 68181823870 75000006257 109090918192 136363647740 150000012514 218181836384 272727295480 300000025028 375000031285 545454590960 600000050056 750000062570 825000068827 1090909181920 1200000100112 1500000125140 1650000137654 2400000200224 3000000250280 3300000275308 4125000344135 6000000500560 6600000550616 8250000688270 12000001001120 13200001101232 16500001376540 26400002202464 33000002753080 66000005506160 132000011012320