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131121002100 = 223521139733637
BaseRepresentation
bin111101000011101101…
…0111011011001110100
3110112110001022001102010
41322013122323121310
54122013434031400
6140123002044220
712321205062024
oct1720732733164
9415401261363
10131121002100
1150676429650
12214b41a9670
13c4981c9a9a
1464bc313a84
153626497450
hex1e876bb674

131121002100 has 72 divisors (see below), whose sum is σ = 413865573408. Its totient is φ = 31786908800.

The previous prime is 131121002093. The next prime is 131121002101. The reversal of 131121002100 is 1200121131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131121002101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19863519 + ... + 19870118.

It is an arithmetic number, because the mean of its divisors is an integer number (5748132964).

Almost surely, 2131121002100 is an apocalyptic number.

131121002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131121002100 is an abundant number, since it is smaller than the sum of its proper divisors (282744571308).

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

131121002100 is a wasteful number, since it uses less digits than its factorization.

131121002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39733665 (or 39733658 counting only the distinct ones).

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

Adding to 131121002100 its reverse (1200121131), we get a palindrome (132321123231).

The spelling of 131121002100 in words is "one hundred thirty-one billion, one hundred twenty-one million, two 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 39733637 79467274 119200911 158934548 198668185 238401822 397336370 437070007 476803644 596004555 794672740 874140014 993340925 1192009110 1311210021 1748280028 1986681850 2185350035 2384018220 2622420042 2980022775 3973363700 4370700070 5244840084 5960045550 6556050105 8741400140 10926750175 11920091100 13112100210 21853500350 26224200420 32780250525 43707000700 65560501050 131121002100