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105346061502 = 231113099121853
BaseRepresentation
bin110001000011100011…
…1010101010010111110
3101001220202012101221120
41202013013111102332
53211222042432002
6120221215411410
710416400514433
oct1420707252276
9331822171846
10105346061502
114074a118250
1218500223b66
139c1b275946
145155085b8a
152b1874ccbc
hex18871d54be

105346061502 has 32 divisors (see below), whose sum is σ = 229865385600. Its totient is φ = 31920349920.

The previous prime is 105346061479. The next prime is 105346061551. The reversal of 105346061502 is 205160643501.

105346061502 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1053460615022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 803608 + ... + 925460.

It is an arithmetic number, because the mean of its divisors is an integer number (7183293300).

Almost surely, 2105346061502 is an apocalyptic number.

105346061502 is an abundant number, since it is smaller than the sum of its proper divisors (124519324098).

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

105346061502 is a wasteful number, since it uses less digits than its factorization.

105346061502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134968.

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 105346061502 in words is "one hundred five billion, three hundred forty-six million, sixty-one thousand, five hundred two".

Divisors: 1 2 3 6 11 22 33 66 13099 26198 39297 78594 121853 144089 243706 288178 365559 432267 731118 864534 1340383 2680766 4021149 8042298 1596152447 3192304894 4788457341 9576914682 17557676917 35115353834 52673030751 105346061502