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102103013220 = 223513159781967
BaseRepresentation
bin101111100010111010…
…0000101011101100100
3100202112201211111001020
41133011310011131210
53133101332410340
6114523325531140
710243131202245
oct1370564053544
9322481744036
10102103013220
113a33554205a
1217956113ab0
139822413c70
144d28492ccc
1529c8b999d0
hex17c5d05764

102103013220 has 96 divisors (see below), whose sum is σ = 308076400128. Its totient is φ = 25117005312.

The previous prime is 102103013213. The next prime is 102103013231. The reversal of 102103013220 is 22310301201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102103013220.

It is an unprimeable number.

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, 1204677 + ... + 1286643.

It is an arithmetic number, because the mean of its divisors is an integer number (3209129168).

Almost surely, 2102103013220 is an apocalyptic number.

102103013220 is a gapful number since it is divisible by the number (10) 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 102103013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154038200064).

102103013220 is an abundant number, since it is smaller than the sum of its proper divisors (205973386908).

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

102103013220 is a wasteful number, since it uses less digits than its factorization.

102103013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83589 (or 83587 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102103013220 its reverse (22310301201), we get a palindrome (124413314421).

The spelling of 102103013220 in words is "one hundred two billion, one hundred three million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1597 3194 4791 6388 7985 9582 15970 19164 20761 23955 31940 41522 47910 62283 81967 83044 95820 103805 124566 163934 207610 245901 249132 311415 327868 409835 415220 491802 622830 819670 983604 1065571 1229505 1245660 1639340 2131142 2459010 3196713 4262284 4918020 5327855 6393426 10655710 12786852 15983565 21311420 31967130 63934260 130901299 261802598 392703897 523605196 654506495 785407794 1309012990 1570815588 1701716887 1963519485 2618025980 3403433774 3927038970 5105150661 6806867548 7854077940 8508584435 10210301322 17017168870 20420602644 25525753305 34034337740 51051506610 102103013220