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153130381631 = 3783167298583
BaseRepresentation
bin1000111010011101001…
…0000011000100111111
3112122020220211101011222
42032213102003010333
510002102334203011
6154202551303555
714030466524213
oct2164722030477
9478226741158
10153130381631
1159a40121207
122581707abbb
1311594c84096
1475a9416943
153eb3829ddb
hex23a748313f

153130381631 has 16 divisors (see below), whose sum is σ = 160117461504. Its totient is φ = 146314734624.

The previous prime is 153130381609. The next prime is 153130381639. The reversal of 153130381631 is 136183031351.

153130381631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 153130381631 - 234 = 135950512447 is a prime.

It is a super-2 number, since 2×1531303816312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 153130381591 and 153130381600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153130381639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363566 + ... + 662148.

It is an arithmetic number, because the mean of its divisors is an integer number (10007341344).

Almost surely, 2153130381631 is an apocalyptic number.

153130381631 is a deficient number, since it is larger than the sum of its proper divisors (6987079873).

153130381631 is a wasteful number, since it uses less digits than its factorization.

153130381631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298870.

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 153130381631 in words is "one hundred fifty-three billion, one hundred thirty million, three hundred eighty-one thousand, six hundred thirty-one".

Divisors: 1 37 83 167 3071 6179 13861 298583 512857 11047571 24782389 49863361 916948393 1844944357 4138658963 153130381631