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100021112004 = 223113149374951
BaseRepresentation
bin101110100100110111…
…0010000110011000100
3100120011122100221110210
41131021232100303010
53114320401041004
6113540555315420
710140421265352
oct1351156206304
9316148327423
10100021112004
1139467345940
1217474a4bb70
13957ccc2058
144babb987d2
15290600a089
hex1749b90cc4

100021112004 has 96 divisors (see below), whose sum is σ = 262918397952. Its totient is φ = 29319840000.

The previous prime is 100021112003. The next prime is 100021112033. The reversal of 100021112004 is 400211120001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100021112003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20199729 + ... + 20204679.

It is an arithmetic number, because the mean of its divisors is an integer number (2738733312).

Almost surely, 2100021112004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100021112004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131459198976).

100021112004 is an abundant number, since it is smaller than the sum of its proper divisors (162897285948).

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

100021112004 is a wasteful number, since it uses less digits than its factorization.

100021112004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9937 (or 9935 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100021112004 its reverse (400211120001), we get a palindrome (500232232005).

The spelling of 100021112004 in words is "one hundred billion, twenty-one million, one hundred twelve thousand, four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 4937 4951 9874 9902 14811 14853 19748 19804 29622 29706 54307 54461 59244 59412 108614 108922 153047 153481 162921 163383 217228 217844 306094 306962 325842 326766 459141 460443 612188 613924 651684 653532 918282 920886 1683517 1688291 1836564 1841772 3367034 3376582 5050551 5064873 6734068 6753164 10101102 10129746 20202204 20259492 24443087 48886174 73329261 97772348 146658522 268873957 293317044 537747914 757735697 806621871 1075495828 1515471394 1613243742 2273207091 3030942788 3226487484 4546414182 8335092667 9092828364 16670185334 25005278001 33340370668 50010556002 100021112004