Search a number
-
+
31793811309 = 34132292832
BaseRepresentation
bin11101100111000011…
…110000111101101101
310001001202122221220000
4131213003300331231
51010103203430214
622334511414513
72203610636301
oct354703607555
9101052587800
1031793811309
1112535861017
1261b3824439
132cc8bc9300
14177878dd01
15c6135d809
hex7670f0f6d

31793811309 has 90 divisors (see below), whose sum is σ = 53390980170. Its totient is φ = 18824000832.

The previous prime is 31793811307. The next prime is 31793811319. The reversal of 31793811309 is 90311839713.

It can be written as a sum of positive squares in 3 ways, for example, as 6487209 + 31787324100 = 2547^2 + 178290^2 .

It is not a de Polignac number, because 31793811309 - 21 = 31793811307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31793811307) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 112345482 + ... + 112345764.

It is an arithmetic number, because the mean of its divisors is an integer number (593233113).

Almost surely, 231793811309 is an apocalyptic number.

31793811309 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

31793811309 is a deficient number, since it is larger than the sum of its proper divisors (21597168861).

31793811309 is an equidigital number, since it uses as much as digits as its factorization.

31793811309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 31793811309 in words is "thirty-one billion, seven hundred ninety-three million, eight hundred eleven thousand, three hundred nine".

Divisors: 1 3 9 13 27 29 39 81 87 117 169 261 283 351 377 507 783 849 1053 1131 1521 2349 2547 3393 3679 4563 4901 7641 8207 10179 11037 13689 14703 22923 24621 30537 33111 44109 47827 73863 80089 99333 106691 132327 143481 221589 240267 297999 320073 396981 430443 664767 720801 960219 1041157 1291329 1386983 2162403 2322581 2880657 3123471 3873987 4160949 6487209 6967743 8641971 9370413 12482847 13535041 20903229 28111239 30193553 37448541 40605123 62709687 84333717 90580659 112345623 121815369 188129061 271741977 365446107 392516189 815225931 1096338321 1177548567 2445677793 3532645701 10597937103 31793811309