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131101000434 = 232371271549987
BaseRepresentation
bin111101000011000111…
…0101000001011110010
3110112101122122212021200
41322012032220023302
54121443324003214
6140121005232030
712320543055105
oct1720616501362
9415348585250
10131101000434
1150666108048
12214a9562616
13c494015991
1464b97c873c
153624845d09
hex1e863a82f2

131101000434 has 48 divisors (see below), whose sum is σ = 294026523648. Its totient is φ = 42184418976.

The previous prime is 131101000427. The next prime is 131101000439. The reversal of 131101000434 is 434000101131.

131101000434 is a `hidden beast` number, since 131 + 1 + 0 + 100 + 0 + 434 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131101000439) 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, 690412 + ... + 859575.

It is an arithmetic number, because the mean of its divisors is an integer number (6125552576).

Almost surely, 2131101000434 is an apocalyptic number.

131101000434 is an abundant number, since it is smaller than the sum of its proper divisors (162925523214).

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

131101000434 is a wasteful number, since it uses less digits than its factorization.

131101000434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550159 (or 1550156 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131101000434 its reverse (434000101131), we get a palindrome (565101101565).

The spelling of 131101000434 in words is "one hundred thirty-one billion, one hundred one million, four hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 37 74 111 127 222 254 333 381 666 762 1143 2286 4699 9398 14097 28194 42291 84582 1549987 3099974 4649961 9299922 13949883 27899766 57349519 114699038 172048557 196848349 344097114 393696698 516145671 590545047 1032291342 1181090094 1771635141 3543270282 7283388913 14566777826 21850166739 43700333478 65550500217 131101000434