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102310302120 = 233513439149393
BaseRepresentation
bin101111101001000101…
…0110101000110101000
3100210002011212211221220
41133102022311012220
53134012414131440
6115000052502040
710251226135125
oct1372212650650
9323064784856
10102310302120
113a4315532a4
12179b361a920
139856350b10
144d47c1174c
1529dbe938d0
hex17d22b51a8

102310302120 has 128 divisors (see below), whose sum is σ = 331296134400. Its totient is φ = 25126539264.

The previous prime is 102310302119. The next prime is 102310302167. The reversal of 102310302120 is 21203013201.

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 102310302120.

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, 610144 + ... + 759536.

It is an arithmetic number, because the mean of its divisors is an integer number (2588251050).

Almost surely, 2102310302120 is an apocalyptic number.

102310302120 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 102310302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165648067200).

102310302120 is an abundant number, since it is smaller than the sum of its proper divisors (228985832280).

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

102310302120 is a wasteful number, since it uses less digits than its factorization.

102310302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149859 (or 149855 counting only the distinct ones).

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

Adding to 102310302120 its reverse (21203013201), we get a palindrome (123513315321).

The spelling of 102310302120 in words is "one hundred two billion, three hundred ten million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 439 520 780 878 1317 1560 1756 2195 2634 3512 4390 5268 5707 6585 8780 10536 11414 13170 17121 17560 22828 26340 28535 34242 45656 52680 57070 68484 85605 114140 136968 149393 171210 228280 298786 342420 448179 597572 684840 746965 896358 1195144 1493930 1792716 1942109 2240895 2987860 3585432 3884218 4481790 5826327 5975720 7768436 8963580 9710545 11652654 15536872 17927160 19421090 23305308 29131635 38842180 46610616 58263270 65583527 77684360 116526540 131167054 196750581 233053080 262334108 327917635 393501162 524668216 655835270 787002324 852585851 983752905 1311670540 1574004648 1705171702 1967505810 2557757553 2623341080 3410343404 3935011620 4262929255 5115515106 6820686808 7870023240 8525858510 10231030212 12788787765 17051717020 20462060424 25577575530 34103434040 51155151060 102310302120