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100240211204 = 22721783362459
BaseRepresentation
bin101110101011011001…
…0000011110100000100
3100120201220122100001222
41131112302003310010
53120242443224304
6114014423335512
710146021510500
oct1352662036404
9316656570058
10100240211204
1139569a93361
12175162b1598
1395b6505753
144bccd0d300
15291a3884be
hex1756c83d04

100240211204 has 72 divisors (see below), whose sum is σ = 218667768480. Its totient is φ = 39945771264.

The previous prime is 100240211171. The next prime is 100240211233. The reversal of 100240211204 is 402112042001.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95327 + ... + 457785.

It is an arithmetic number, because the mean of its divisors is an integer number (3037052340).

Almost surely, 2100240211204 is an apocalyptic number.

100240211204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100240211204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109333884240).

100240211204 is an abundant number, since it is smaller than the sum of its proper divisors (118427557276).

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

100240211204 is a wasteful number, since it uses less digits than its factorization.

100240211204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362577 (or 362568 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 100240211204 its reverse (402112042001), we get a palindrome (502352253205).

The spelling of 100240211204 in words is "one hundred billion, two hundred forty million, two hundred eleven thousand, two hundred four".

Divisors: 1 2 4 7 14 17 28 34 49 68 83 98 119 166 196 238 332 476 581 833 1162 1411 1666 2324 2822 3332 4067 5644 8134 9877 16268 19754 39508 69139 138278 276556 362459 724918 1449836 2537213 5074426 6161803 10148852 12323606 17760491 24647212 30084097 35520982 43132621 60168194 71041964 86265242 120336388 172530484 210588679 301928347 421177358 511429649 603856694 842354716 1022859298 1207713388 1474120753 2045718596 2948241506 3580007543 5896483012 7160015086 14320030172 25060052801 50120105602 100240211204