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9900990120 = 2335789132437
BaseRepresentation
bin10010011100010010…
…10001111010101000
3221120000110102002210
421032021101322220
5130234123140440
64314244325120
7500233012260
oct111611217250
927500412083
109900990120
11422093a46a
121b039a37a0
13c1a332548
1469cd4c7a0
153ce351a80
hex24e251ea8

9900990120 has 128 divisors (see below), whose sum is σ = 34327929600. Its totient is φ = 2237638656.

The previous prime is 9900990109. The next prime is 9900990139. The reversal of 9900990120 is 210990099.

It is a happy number.

It is a super-2 number, since 2×99009901202 (a number of 21 digits) contains 22 as substring.

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, 8542 + ... + 140978.

It is an arithmetic number, because the mean of its divisors is an integer number (268186950).

Almost surely, 29900990120 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 9900990120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17163964800).

9900990120 is an abundant number, since it is smaller than the sum of its proper divisors (24426939480).

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

9900990120 is a wasteful number, since it uses less digits than its factorization.

9900990120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132547 (or 132543 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 39.

The square root of 9900990120 is about 99503.7191264729. The cubic root of 9900990120 is about 2147.3007496140.

The spelling of 9900990120 in words is "nine billion, nine hundred million, nine hundred ninety thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 89 105 120 140 168 178 210 267 280 356 420 445 534 623 712 840 890 1068 1246 1335 1780 1869 2136 2492 2670 3115 3560 3738 4984 5340 6230 7476 9345 10680 12460 14952 18690 24920 37380 74760 132437 264874 397311 529748 662185 794622 927059 1059496 1324370 1589244 1854118 1986555 2648740 2781177 3178488 3708236 3973110 4635295 5297480 5562354 7416472 7946220 9270590 11124708 11786893 13905885 15892440 18541180 22249416 23573786 27811770 35360679 37082360 47147572 55623540 58934465 70721358 82508251 94295144 111247080 117868930 141442716 165016502 176803395 235737860 247524753 282885432 330033004 353606790 412541255 471475720 495049506 660066008 707213580 825082510 990099012 1237623765 1414427160 1650165020 1980198024 2475247530 3300330040 4950495060 9900990120