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103199781006 = 23272513263131
BaseRepresentation
bin110000000011100101…
…1111011000010001110
3100212101011121001121100
41200013023323002032
53142323120443011
6115224225243530
710312246444050
oct1400713730216
9325334531540
10103199781006
113a848649a13
12180014935a6
13996870269a
144dcddcd8d0
152a400e2d56
hex18072fb08e

103199781006 has 48 divisors (see below), whose sum is σ = 256560490368. Its totient is φ = 29368170000.

The previous prime is 103199780993. The next prime is 103199781067. The reversal of 103199781006 is 600187991301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1599940 + ... + 1663191.

It is an arithmetic number, because the mean of its divisors is an integer number (5345010216).

Almost surely, 2103199781006 is an apocalyptic number.

103199781006 is an abundant number, since it is smaller than the sum of its proper divisors (153360709362).

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

103199781006 is a wasteful number, since it uses less digits than its factorization.

103199781006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263397 (or 3263394 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 103199781006 in words is "one hundred three billion, one hundred ninety-nine million, seven hundred eighty-one thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 251 502 753 1506 1757 2259 3514 4518 5271 10542 15813 31626 3263131 6526262 9789393 19578786 22841917 29368179 45683834 58736358 68525751 137051502 205577253 411154506 819045881 1638091762 2457137643 4914275286 5733321167 7371412929 11466642334 14742825858 17199963501 34399927002 51599890503 103199781006