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102320120010 = 23523478593673
BaseRepresentation
bin101111101001011000…
…0010010000011001010
3100210002212100122120110
41133102300102003022
53134022422320020
6115001043135150
710251405445533
oct1372260220312
9323085318513
10102320120010
113a437049659
12179b69744b6
1398583aa814
144d4924968a
1529dcc828e0
hex17d2c120ca

102320120010 has 128 divisors (see below), whose sum is σ = 262073180160. Its totient is φ = 25507063296.

The previous prime is 102320119999. The next prime is 102320120053. The reversal of 102320120010 is 10021023201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27855534 + ... + 27859206.

It is an arithmetic number, because the mean of its divisors is an integer number (2047446720).

Almost surely, 2102320120010 is an apocalyptic number.

102320120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102320120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131036590080).

102320120010 is an abundant number, since it is smaller than the sum of its proper divisors (159753060150).

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

102320120010 is a wasteful number, since it uses less digits than its factorization.

102320120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4612.

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

Adding to 102320120010 its reverse (10021023201), we get a palindrome (112341143211).

The spelling of 102320120010 in words is "one hundred two billion, three hundred twenty million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 47 69 94 115 138 141 230 235 282 345 470 690 705 859 1081 1410 1718 2162 2577 3243 3673 4295 5154 5405 6486 7346 8590 10810 11019 12885 16215 18365 19757 22038 25770 32430 36730 39514 40373 55095 59271 80746 84479 98785 110190 118542 121119 168958 172631 197570 201865 242238 253437 296355 345262 403730 422395 506874 517893 592710 605595 844790 863155 928579 1035786 1211190 1267185 1726310 1857158 2534370 2589465 2785737 3155107 3970513 4642895 5178930 5571474 6310214 7941026 9285790 9465321 11911539 13928685 15775535 18930642 19852565 23823078 27857370 31551070 39705130 47326605 59557695 72567461 94653210 119115390 145134922 148290029 217702383 296580058 362837305 435404766 444870087 725674610 741450145 889740174 1088511915 1482900290 2177023830 2224350435 3410670667 4448700870 6821341334 10232012001 17053353335 20464024002 34106706670 51160060005 102320120010