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131105229280 = 255231271631721
BaseRepresentation
bin111101000011001111…
…0110000100111100000
3110112101221121201011121
41322012132300213200
54122000414314110
6140121240022024
712320624030104
oct1720636604740
9415357551147
10131105229280
1150668536263
12214aaa61914
13c494b6675c
1464ba1a9904
153624dcdcda
hex1e867b09e0

131105229280 has 192 divisors, whose sum is σ = 327936688128. Its totient is φ = 49432965120.

The previous prime is 131105229271. The next prime is 131105229293. The reversal of 131105229280 is 82922501131.

It is a super-2 number, since 2×1311052292802 (a number of 23 digits) contains 22 as substring.

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, 76178820 + ... + 76180540.

It is an arithmetic number, because the mean of its divisors is an integer number (1708003584).

Almost surely, 2131105229280 is an apocalyptic number.

131105229280 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 131105229280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163968344064).

131105229280 is an abundant number, since it is smaller than the sum of its proper divisors (196831458848).

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

131105229280 is a wasteful number, since it uses less digits than its factorization.

131105229280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 131105229280 in words is "one hundred thirty-one billion, one hundred five million, two hundred twenty-nine thousand, two hundred eighty".