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100332232031 = 2913185730817
BaseRepresentation
bin101110101110001000…
…1000101110101011111
3100120222022210110220202
41131130101011311133
53120440022411111
6114031511534115
710151216621003
oct1353421056537
9316868713822
10100332232031
1139606a24a29
121754108a33b
1395cc5b4445
144bdb224703
1529234b3b3b
hex175c445d5f

100332232031 has 16 divisors (see below), whose sum is σ = 104709702240. Its totient is φ = 96017725440.

The previous prime is 100332232009. The next prime is 100332232073. The reversal of 100332232031 is 130232233001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100332232031 is a prime.

It is a super-3 number, since 3×1003322320313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100332231994 and 100332232012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100332232831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3240335 + ... + 3271151.

It is an arithmetic number, because the mean of its divisors is an integer number (6544356390).

Almost surely, 2100332232031 is an apocalyptic number.

100332232031 is a deficient number, since it is larger than the sum of its proper divisors (4377470209).

100332232031 is a wasteful number, since it uses less digits than its factorization.

100332232031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31834.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 100332232031 its reverse (130232233001), we get a palindrome (230564465032).

The spelling of 100332232031 in words is "one hundred billion, three hundred thirty-two million, two hundred thirty-two thousand, thirty-one".

Divisors: 1 29 131 857 3799 24853 30817 112267 893693 3255743 4037027 26410169 117073783 765894901 3459732139 100332232031