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131020121100 = 223521139703067
BaseRepresentation
bin111101000000101101…
…0000110010000001100
3110112012000110202200210
41322001122012100030
54121312122333400
6140104555522420
712315541440231
oct1720132062014
9415160422623
10131020121100
1150624496220
1221486459410
13c48033829b
1464acb73788
15361c6bb950
hex1e8168640c

131020121100 has 72 divisors (see below), whose sum is σ = 413547156288. Its totient is φ = 31762452800.

The previous prime is 131020121081. The next prime is 131020121147. The reversal of 131020121100 is 1121020131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19848234 + ... + 19854833.

It is an arithmetic number, because the mean of its divisors is an integer number (5743710504).

Almost surely, 2131020121100 is an apocalyptic number.

131020121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131020121100 is an abundant number, since it is smaller than the sum of its proper divisors (282527035188).

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

131020121100 is a wasteful number, since it uses less digits than its factorization.

131020121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39703095 (or 39703088 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 131020121100 its reverse (1121020131), we get a palindrome (132141141231).

The spelling of 131020121100 in words is "one hundred thirty-one billion, twenty million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 39703067 79406134 119109201 158812268 198515335 238218402 397030670 436733737 476436804 595546005 794061340 873467474 992576675 1191092010 1310201211 1746934948 1985153350 2183668685 2382184020 2620402422 2977730025 3970306700 4367337370 5240804844 5955460050 6551006055 8734674740 10918343425 11910920100 13102012110 21836686850 26204024220 32755030275 43673373700 65510060550 131020121100