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100332004031 = 7217938329867
BaseRepresentation
bin101110101110001000…
…0001110001010111111
3100120222022100220011022
41131130100032022333
53120434443112111
6114031503014355
710151214651200
oct1353420161277
9316868326138
10100332004031
11396068896a6
1217540b9a3bb
1395cc53472c
144bdb1a55a7
15292346b2db
hex175c40e2bf

100332004031 has 24 divisors (see below), whose sum is σ = 117675141120. Its totient is φ = 85292278512.

The previous prime is 100332004001. The next prime is 100332004037. The reversal of 100332004031 is 130400233001.

It is a happy number.

It is not a de Polignac number, because 100332004031 - 214 = 100331987647 is a prime.

It is a super-2 number, since 2×1003320040312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100332004037) 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, 3344360 + ... + 3374226.

It is an arithmetic number, because the mean of its divisors is an integer number (4903130880).

Almost surely, 2100332004031 is an apocalyptic number.

100332004031 is a deficient number, since it is larger than the sum of its proper divisors (17343137089).

100332004031 is a wasteful number, since it uses less digits than its factorization.

100332004031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30443 (or 30436 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 100332004031 its reverse (130400233001), we get a palindrome (230732237032).

The spelling of 100332004031 in words is "one hundred billion, three hundred thirty-two million, four thousand, thirty-one".

Divisors: 1 7 49 179 383 1253 2681 8771 18767 29867 68557 209069 479899 1463483 3359293 5346193 11439061 37423351 80073427 261963457 560513989 2047591919 14333143433 100332004031