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100872082974 = 23132356227471
BaseRepresentation
bin101110111110001110…
…0011101011000011110
3100122100221121202012010
41131330130131120132
53123041223123344
6114201234452050
710200463362315
oct1357434353036
9318327552163
10100872082974
113986372aa33
1217671a34026
1396873b0280
144c4cbd127c
152955a9e8b9
hex177c71d61e

100872082974 has 32 divisors (see below), whose sum is σ = 226709167104. Its totient is φ = 29688104160.

The previous prime is 100872082901. The next prime is 100872082979. The reversal of 100872082974 is 479280278001.

100872082974 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100872082979) 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, 28111942 + ... + 28115529.

It is an arithmetic number, because the mean of its divisors is an integer number (7084661472).

Almost surely, 2100872082974 is an apocalyptic number.

100872082974 is an abundant number, since it is smaller than the sum of its proper divisors (125837084130).

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

100872082974 is a wasteful number, since it uses less digits than its factorization.

100872082974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56227512.

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 100872082974 in words is "one hundred billion, eight hundred seventy-two million, eighty-two thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1794 56227471 112454942 168682413 337364826 730957123 1293231833 1461914246 2192871369 2586463666 3879695499 4385742738 7759390998 16812013829 33624027658 50436041487 100872082974