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100130220102 = 231183153111939
BaseRepresentation
bin101110101000000111…
…0011110100001000110
3100120110020200012122110
41131100032132201012
53120031314020402
6113555454041450
710143214553643
oct1352016364106
9316406605573
10100130220102
1139512998420
12174a54a9286
1395997a4463
144bbc47adca
1529108ad56c
hex175039e846

100130220102 has 64 divisors (see below), whose sum is σ = 221260999680. Its totient is φ = 29954829600.

The previous prime is 100130220089. The next prime is 100130220137. The reversal of 100130220102 is 201022031001.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 8380849 + ... + 8392787.

It is an arithmetic number, because the mean of its divisors is an integer number (3457203120).

Almost surely, 2100130220102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100130220102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110630499840).

100130220102 is an abundant number, since it is smaller than the sum of its proper divisors (121130779578).

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

100130220102 is a wasteful number, since it uses less digits than its factorization.

100130220102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13569.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100130220102 its reverse (201022031001), we get a palindrome (301152251103).

The spelling of 100130220102 in words is "one hundred billion, one hundred thirty million, two hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 83 166 249 498 913 1531 1826 2739 3062 4593 5478 9186 11939 16841 23878 33682 35817 50523 71634 101046 127073 131329 254146 262658 381219 393987 762438 787974 990937 1397803 1981874 2795606 2972811 4193409 5945622 8386818 10900307 18278609 21800614 32700921 36557218 54835827 65401842 109671654 201064699 402129398 603194097 1206388194 1517124547 3034249094 4551373641 9102747282 16688370017 33376740034 50065110051 100130220102