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102100302220 = 225713140113883
BaseRepresentation
bin101111100010110100…
…1101111100110001100
3100202112112201202020211
41133011221233212030
53133100134132340
6114523151452204
710243066151410
oct1370551574614
9322475652224
10102100302220
113a333a60264
1217955227064
1398219a5017
144d27d88d40
1529c88115ea
hex17c5a6f98c

102100302220 has 96 divisors (see below), whose sum is σ = 247544833536. Its totient is φ = 34649472000.

The previous prime is 102100302211. The next prime is 102100302281. The reversal of 102100302220 is 22203001201.

It is a self number, because there is not a number n which added to its sum of digits gives 102100302220.

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, 7347399 + ... + 7361281.

It is an arithmetic number, because the mean of its divisors is an integer number (2578592016).

Almost surely, 2102100302220 is an apocalyptic number.

102100302220 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 102100302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123772416768).

102100302220 is an abundant number, since it is smaller than the sum of its proper divisors (145444531316).

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

102100302220 is a wasteful number, since it uses less digits than its factorization.

102100302220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14431 (or 14429 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 102100302220 its reverse (22203001201), we get a palindrome (124303303421).

The spelling of 102100302220 in words is "one hundred two billion, one hundred million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 131 140 262 401 524 655 802 917 1310 1604 1834 2005 2620 2807 3668 4010 4585 5614 8020 9170 11228 13883 14035 18340 27766 28070 52531 55532 56140 69415 97181 105062 138830 194362 210124 262655 277660 367717 388724 485905 525310 735434 971810 1050620 1470868 1818673 1838585 1943620 3637346 3677170 5567083 7274692 7354340 9093365 11134166 12730711 18186730 22268332 25461422 27835415 36373460 38969581 50922844 55670830 63653555 77939162 111341660 127307110 155878324 194847905 254614220 389695810 729287873 779391620 1458575746 2917151492 3646439365 5105015111 7292878730 10210030222 14585757460 20420060444 25525075555 51050151110 102100302220