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11311640250 = 2353103181809
BaseRepresentation
bin10101000100011100…
…11110111010111010
31002012022211212021220
422202032132322322
5141131234442000
65110235412510
7550212233001
oct124216367272
932168755256
1011311640250
114885142819
1222382b4136
1310b366c771
14794433c38
154630ec1a0
hex2a239eeba

11311640250 has 128 divisors (see below), whose sum is σ = 28700904960. Its totient is φ = 2966976000.

The previous prime is 11311640233. The next prime is 11311640299. The reversal of 11311640250 is 5204611311.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11311640250.

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 63 ways as a sum of consecutive naturals, for example, 13981846 + ... + 13982654.

It is an arithmetic number, because the mean of its divisors is an integer number (224225820).

Almost surely, 211311640250 is an apocalyptic number.

11311640250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11311640250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14350452480).

11311640250 is an abundant number, since it is smaller than the sum of its proper divisors (17389264710).

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

11311640250 is a wasteful number, since it uses less digits than its factorization.

11311640250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 11311640250 in words is "eleven billion, three hundred eleven million, six hundred forty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 103 125 150 181 206 250 309 362 375 515 543 618 750 809 905 1030 1086 1545 1618 1810 2427 2575 2715 3090 4045 4525 4854 5150 5430 7725 8090 9050 12135 12875 13575 15450 18643 20225 22625 24270 25750 27150 37286 38625 40450 45250 55929 60675 67875 77250 83327 93215 101125 111858 121350 135750 146429 166654 186430 202250 249981 279645 292858 303375 416635 439287 466075 499962 559290 606750 732145 833270 878574 932150 1249905 1398225 1464290 2083175 2196435 2330375 2499810 2796450 3660725 4166350 4392870 4660750 6249525 6991125 7321450 10415875 10982175 12499050 13982250 15082187 18303625 20831750 21964350 30164374 31247625 36607250 45246561 54910875 62495250 75410935 90493122 109821750 150821870 226232805 377054675 452465610 754109350 1131164025 1885273375 2262328050 3770546750 5655820125 11311640250