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1900400131 = 71722921117
BaseRepresentation
bin111000101000101…
…1100111000000011
311220102221022220001
41301101130320003
512343000301011
6512324100431
765044064110
oct16121347003
94812838801
101900400131
118957a9823
12450534717
13243943a26
1414056d907
15b1c8b7c1
hex7145ce03

1900400131 has 36 divisors (see below), whose sum is σ = 2391598768. Its totient is φ = 1478905344.

The previous prime is 1900400107. The next prime is 1900400141. The reversal of 1900400131 is 1310040091.

It is a happy number.

It is not a de Polignac number, because 1900400131 - 223 = 1892011523 is a prime.

It is a super-2 number, since 2×19004001312 = 7223041315809634322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1900400099 and 1900400108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1900400141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1700785 + ... + 1701901.

Almost surely, 21900400131 is an apocalyptic number.

1900400131 is a deficient number, since it is larger than the sum of its proper divisors (491198637).

1900400131 is a wasteful number, since it uses less digits than its factorization.

1900400131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 1900400131 is about 43593.5790111342. The cubic root of 1900400131 is about 1238.6492686474.

The spelling of 1900400131 in words is "one billion, nine hundred million, four hundred thousand, one hundred thirty-one".

Divisors: 1 7 17 29 119 203 289 493 841 1117 2023 3451 5887 7819 8381 14297 18989 32393 58667 100079 132923 226751 243049 322813 550681 939397 1701343 2259691 3854767 6575779 9361577 15969749 65531039 111788243 271485733 1900400131