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10320210120 = 23351123993259
BaseRepresentation
bin10011001110010000…
…11110100011001000
3222122020021222211110
421213020132203020
5132113433210440
64424021530320
7513513224103
oct114710364310
928566258743
1010320210120
114416542680
1220002739a0
13c8614320c
146dc8b773a
15406060080
hex26721e8c8

10320210120 has 128 divisors (see below), whose sum is σ = 33799680000. Its totient is φ = 2500058880.

The previous prime is 10320210091. The next prime is 10320210139. The reversal of 10320210120 is 2101202301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10320210096 and 10320210105.

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, 3165051 + ... + 3168309.

It is an arithmetic number, because the mean of its divisors is an integer number (264060000).

Almost surely, 210320210120 is an apocalyptic number.

10320210120 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 10320210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16899840000).

10320210120 is an abundant number, since it is smaller than the sum of its proper divisors (23479469880).

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

10320210120 is a wasteful number, since it uses less digits than its factorization.

10320210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5683 (or 5679 counting only the distinct ones).

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

Adding to 10320210120 its reverse (2101202301), we get a palindrome (12421412421).

The spelling of 10320210120 in words is "ten billion, three hundred twenty million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2399 3259 4798 6518 7197 9596 9777 11995 13036 14394 16295 19192 19554 23990 26072 26389 28788 32590 35849 35985 39108 47980 48885 52778 57576 65180 71698 71970 78216 79167 95960 97770 105556 107547 130360 131945 143396 143940 158334 179245 195540 211112 215094 263890 286792 287880 316668 358490 391080 395835 430188 527780 537735 633336 716980 791670 860376 1055560 1075470 1433960 1583340 2150940 3166680 4301880 7818341 15636682 23455023 31273364 39091705 46910046 62546728 78183410 86001751 93820092 117275115 156366820 172003502 187640184 234550230 258005253 312733640 344007004 430008755 469100460 516010506 688014008 860017510 938200920 1032021012 1290026265 1720035020 2064042024 2580052530 3440070040 5160105060 10320210120