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131022101100 = 223521139703667
BaseRepresentation
bin111101000000110000…
…1101001101001101100
3110112012011012100202010
41322001201221221230
54121313124213400
6140105110201220
712315564324642
oct1720141515154
9415164170663
10131022101100
1150625618890
1221487053210
13c48087c597
1464ad12b192
15361c95d450
hex1e81869a6c

131022101100 has 72 divisors (see below), whose sum is σ = 413553405888. Its totient is φ = 31762932800.

The previous prime is 131022101081. The next prime is 131022101131. The reversal of 131022101100 is 1101220131.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19848534 + ... + 19855133.

It is an arithmetic number, because the mean of its divisors is an integer number (5743797304).

Almost surely, 2131022101100 is an apocalyptic number.

131022101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131022101100 is an abundant number, since it is smaller than the sum of its proper divisors (282531304788).

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

131022101100 is a wasteful number, since it uses less digits than its factorization.

131022101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39703695 (or 39703688 counting only the distinct ones).

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

Adding to 131022101100 its reverse (1101220131), we get a palindrome (132123321231).

The spelling of 131022101100 in words is "one hundred thirty-one billion, twenty-two million, one hundred 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 39703667 79407334 119111001 158814668 198518335 238222002 397036670 436740337 476444004 595555005 794073340 873480674 992591675 1191110010 1310221011 1746961348 1985183350 2183701685 2382220020 2620442022 2977775025 3970366700 4367403370 5240884044 5955550050 6551105055 8734806740 10918508425 11911100100 13102210110 21837016850 26204420220 32755525275 43674033700 65511050550 131022101100