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823031000090 = 2513131154331321
BaseRepresentation
bin10111111101000000111…
…10000110110000011010
32220200101110000202200222
423332200132012300122
5101441031414000330
61430032322400042
7113314322033615
oct13764036066032
92820343022628
10823031000090
112980555a7a72
12113613500022
135c7c45a0a90
142bb9900317c
15166201c70e5
hexbfa0786c1a

823031000090 has 64 divisors (see below), whose sum is σ = 1608685892352. Its totient is φ = 301363545600.

The previous prime is 823031000081. The next prime is 823031000101. The reversal of 823031000090 is 90000130328.

823031000090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a cake number, because a cake can be divided into 823031000090 parts by 17029 planar cuts.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26261630 + ... + 26292950.

It is an arithmetic number, because the mean of its divisors is an integer number (25135717068).

Almost surely, 2823031000090 is an apocalyptic number.

823031000090 is a deficient number, since it is larger than the sum of its proper divisors (785654892262).

823031000090 is a wasteful number, since it uses less digits than its factorization.

823031000090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33015.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 823031000090 in words is "eight hundred twenty-three billion, thirty-one million, ninety", and thus it is an aban number.

Divisors: 1 2 5 10 13 26 65 130 131 262 655 1310 1543 1703 3086 3406 7715 8515 15430 17030 20059 31321 40118 62642 100295 156605 200590 202133 313210 404266 407173 814346 1010665 2021330 2035865 2627729 4071730 4103051 5255458 8206102 13138645 20515255 26277290 41030510 48328303 53339663 96656606 106679326 241641515 266698315 483283030 533396630 628267939 1256535878 3141339695 6282679390 6331007693 12662015386 31655038465 63310076930 82303100009 164606200018 411515500045 823031000090