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2010031331322 = 237329223151027
BaseRepresentation
bin11101001111111111001…
…101000001011111111010
321010011020112120021120210
4131033333031001133322
5230413021010100242
64135221243131550
7265135310262000
oct35177715013772
97104215507523
102010031331322
117054a4315553
12285683513bb6
131177118a1791
146d400c4aa70
15374439c8d9c
hex1d3ff3417fa

2010031331322 has 128 divisors (see below), whose sum is σ = 4871559168000. Its totient is φ = 552001238208.

The previous prime is 2010031331303. The next prime is 2010031331353. The reversal of 2010031331322 is 2231331300102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13233573 + ... + 13384599.

It is an arithmetic number, because the mean of its divisors is an integer number (38059056000).

Almost surely, 22010031331322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010031331322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435779584000).

2010031331322 is an abundant number, since it is smaller than the sum of its proper divisors (2861527836678).

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

2010031331322 is a wasteful number, since it uses less digits than its factorization.

2010031331322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151305 (or 151291 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2010031331322 its reverse (2231331300102), we get a palindrome (4241362631424).

The spelling of 2010031331322 in words is "two trillion, ten billion, thirty-one million, three hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 223 294 343 406 446 609 669 686 1029 1218 1338 1421 1561 2058 2842 3122 4263 4683 6467 8526 9366 9947 10927 12934 19401 19894 21854 29841 32781 38802 45269 59682 65562 76489 90538 135807 151027 152978 229467 271614 302054 316883 453081 458934 633766 906162 950649 1057189 1901298 2114378 2218181 3171567 4379783 4436362 6343134 6654543 7400323 8759566 13139349 13309086 14800646 22200969 26278698 30658481 33679021 44401938 51802261 61316962 67358042 91975443 101037063 103604522 155406783 183950886 202074126 214609367 235753147 310813566 429218734 471506294 643828101 707259441 976691609 1287656202 1414518882 1502265569 1650272029 1953383218 2930074827 3004531138 3300544058 4506796707 4950816087 5860149654 6836841263 9013593414 9901632174 11551904203 13673682526 20510523789 23103808406 34655712609 41021047578 47857888841 69311425218 95715777682 143573666523 287147333046 335005221887 670010443774 1005015665661 2010031331322