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131100023000 = 23532331183871
BaseRepresentation
bin111101000011000101…
…0111001100011011000
3110112101120211012111102
41322012022321203120
54121443101214000
6140120532250532
712320531544332
oct1720612714330
9415346735442
10131100023000
11506655aa751
12214a9170a48
13c493a62b0b
1464b9612452
1536247013d5
hex1e862b98d8

131100023000 has 128 divisors (see below), whose sum is σ = 330440048640. Its totient is φ = 48541680000.

The previous prime is 131100022943. The next prime is 131100023027. The reversal of 131100023000 is 320001131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 621065 + ... + 804935.

It is an arithmetic number, because the mean of its divisors is an integer number (2581562880).

Almost surely, 2131100023000 is an apocalyptic number.

131100023000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131100023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165220024320).

131100023000 is an abundant number, since it is smaller than the sum of its proper divisors (199340025640).

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

131100023000 is a wasteful number, since it uses less digits than its factorization.

131100023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183946 (or 183932 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 131100023000 its reverse (320001131), we get a palindrome (131420024131).

The spelling of 131100023000 in words is "one hundred thirty-one billion, one hundred million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 31 40 46 50 62 92 100 115 124 125 155 184 200 230 248 250 310 460 500 575 620 713 775 920 1000 1150 1240 1426 1550 2300 2852 2875 3100 3565 3875 4600 5704 5750 6200 7130 7750 11500 14260 15500 17825 23000 28520 31000 35650 71300 89125 142600 178250 183871 356500 367742 713000 735484 919355 1470968 1838710 3677420 4229033 4596775 5700001 7354840 8458066 9193550 11400002 16916132 18387100 21145165 22800004 22983875 28500005 33832264 36774200 42290330 45600008 45967750 57000010 84580660 91935500 105725825 114000020 131100023 142500025 169161320 183871000 211451650 228000040 262200046 285000050 422903300 524400092 528629125 570000100 655500115 712500125 845806600 1048800184 1057258250 1140000200 1311000230 1425000250 2114516500 2622000460 2850000500 3277500575 4229033000 5244000920 5700001000 6555001150 13110002300 16387502875 26220004600 32775005750 65550011500 131100023000