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100122211002 = 231131145333679
BaseRepresentation
bin101110100111110111…
…1111011001010111010
3100120102200121022020010
41131033233323022322
53120022241223002
6113555010242350
710143056515542
oct1351757731272
9316380538203
10100122211002
1139509418030
12174a28863b6
139597c2bb48
144bbb394322
15290ed2a46c
hex174fbfb2ba

100122211002 has 64 divisors (see below), whose sum is σ = 225657077760. Its totient is φ = 29340273600.

The previous prime is 100122210989. The next prime is 100122211031. The reversal of 100122211002 is 200112221001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2955999 + ... + 2989677.

It is an arithmetic number, because the mean of its divisors is an integer number (3525891840).

Almost surely, 2100122211002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122211002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112828538880).

100122211002 is an abundant number, since it is smaller than the sum of its proper divisors (125534866758).

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

100122211002 is a wasteful number, since it uses less digits than its factorization.

100122211002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35179.

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

Adding to 100122211002 its reverse (200112221001), we get a palindrome (300234432003).

Subtracting 100122211002 from its reverse (200112221001), we obtain a palindrome (99990009999).

The spelling of 100122211002 in words is "one hundred billion, one hundred twenty-two million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 1453 2046 2906 4359 8718 15983 31966 33679 45043 47949 67358 90086 95898 101037 135129 202074 270258 370469 495473 740938 990946 1044049 1111407 1486419 2088098 2222814 2972838 3132147 6264294 11484539 22969078 34453617 48935587 68907234 97871174 146806761 293613522 538291457 1076582914 1517003197 1614874371 3034006394 3229748742 4551009591 9102019182 16687035167 33374070334 50061105501 100122211002