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10120353344 = 261983197509
BaseRepresentation
bin10010110110011100…
…00101011001000000
3222010022020012212122
421123032011121000
5131211302301334
64352122143412
7505535404223
oct113316053100
928108205778
1010120353344
114323748292
121b65351b68
13c5390917a
146c01315ba
153e373332e
hex25b385640

10120353344 has 112 divisors (see below), whose sum is σ = 21545092800. Its totient is φ = 4702795776.

The previous prime is 10120353323. The next prime is 10120353359. The reversal of 10120353344 is 44335302101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19882562 + ... + 19883070.

It is an arithmetic number, because the mean of its divisors is an integer number (192366900).

Almost surely, 210120353344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120353344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10772546400).

10120353344 is an abundant number, since it is smaller than the sum of its proper divisors (11424739456).

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

10120353344 is a wasteful number, since it uses less digits than its factorization.

10120353344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 10120353344 its reverse (44335302101), we get a palindrome (54455655445).

The spelling of 10120353344 in words is "ten billion, one hundred twenty million, three hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 83 152 166 197 304 332 394 509 608 664 788 1018 1216 1328 1576 1577 2036 2656 3152 3154 3743 4072 5312 6304 6308 7486 8144 9671 12608 12616 14972 16288 16351 19342 25232 29944 32576 32702 38684 42247 50464 59888 65404 77368 84494 100273 100928 119776 130808 154736 168988 200546 239552 261616 309472 310669 337976 401092 523232 618944 621338 675952 802184 802693 1046464 1242676 1351904 1604368 1605386 1905187 2485352 2703808 3208736 3210772 3810374 4970704 6417472 6421544 7620748 8322659 9941408 12843088 15241496 16645318 19882816 25686176 30482992 33290636 51372352 60965984 66581272 121931968 133162544 158130521 266325088 316261042 532650176 632522084 1265044168 2530088336 5060176672 10120353344