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100406103642 = 23213988743399
BaseRepresentation
bin101110110000010101…
…0111000111001011010
3100121011110210112201100
41131200222320321122
53121112430304032
6114043111132230
710153104541065
oct1354052707132
9317143715640
10100406103642
113964469a849
1217561974076
1396119aa260
144c06d738dc
152929c0697c
hex1760ab8e5a

100406103642 has 48 divisors (see below), whose sum is σ = 234310003200. Its totient is φ = 30890349216.

The previous prime is 100406103631. The next prime is 100406103659. The reversal of 100406103642 is 246301604001.

100406103642 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 0 + 6 + 10 + 3 + 642 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2291859 + ... + 2335257.

It is an arithmetic number, because the mean of its divisors is an integer number (4881458400).

Almost surely, 2100406103642 is an apocalyptic number.

100406103642 is an abundant number, since it is smaller than the sum of its proper divisors (133903899558).

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

100406103642 is a wasteful number, since it uses less digits than its factorization.

100406103642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53307 (or 53304 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 100406103642 its reverse (246301604001), we get a palindrome (346707707643).

The spelling of 100406103642 in words is "one hundred billion, four hundred six million, one hundred three thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 9887 19774 29661 43399 59322 86798 88983 128531 130197 177966 257062 260394 385593 390591 564187 771186 781182 1128374 1156779 1692561 2313558 3385122 5077683 10155366 429085913 858171826 1287257739 2574515478 3861773217 5578116869 7723546434 11156233738 16734350607 33468701214 50203051821 100406103642