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100022111196 = 22373167756737
BaseRepresentation
bin101110100100111001…
…0000100101111011100
3100120011201020201002220
41131021302010233130
53114321130024241
6113541032545340
710140432626430
oct1351162045734
9316151221086
10100022111196
1139467968617
1217475252250
139580281aa7
144babd789c0
152906156166
hex1749c84bdc

100022111196 has 96 divisors (see below), whose sum is σ = 275741233152. Its totient is φ = 27614545920.

The previous prime is 100022111131. The next prime is 100022111197. The reversal of 100022111196 is 691111220001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022111197) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1734540 + ... + 1791276.

It is an arithmetic number, because the mean of its divisors is an integer number (2872304512).

Almost surely, 2100022111196 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 100022111196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137870616576).

100022111196 is an abundant number, since it is smaller than the sum of its proper divisors (175719121956).

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

100022111196 is a wasteful number, since it uses less digits than its factorization.

100022111196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57459 (or 57457 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

Adding to 100022111196 its reverse (691111220001), we get a palindrome (791133331197).

The spelling of 100022111196 in words is "one hundred billion, twenty-two million, one hundred eleven thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 677 868 1302 1354 2031 2604 2708 4062 4739 8124 9478 14217 18956 20987 28434 41974 56737 56868 62961 83948 113474 125922 146909 170211 226948 251844 293818 340422 397159 440727 587636 680844 794318 881454 1191477 1588636 1758847 1762908 2382954 3517694 4765908 5276541 7035388 10553082 12311929 21106164 24623858 36935787 38410949 49247716 73871574 76821898 115232847 147743148 153643796 230465694 268876643 460931388 537753286 806629929 1075506572 1190739419 1613259858 2381478838 3226519716 3572218257 4762957676 7144436514 8335175933 14288873028 16670351866 25005527799 33340703732 50011055598 100022111196