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103313133120 = 2635611764227
BaseRepresentation
bin110000000110111110…
…0010100111001000000
3100212200001212221110210
41200031330110321000
53143041130224440
6115243354554120
710315124066511
oct1401574247100
9325601787423
10103313133120
113a8a663004a
1218033438940
13998603c742
145001098a08
152a4a033a80
hex180df14e40

103313133120 has 112 divisors (see below), whose sum is σ = 333396750528. Its totient is φ = 27098511360.

The previous prime is 103313133107. The next prime is 103313133149. The reversal of 103313133120 is 21331313301.

103313133120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 823554 + ... + 940673.

Almost surely, 2103313133120 is an apocalyptic number.

103313133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103313133120 is an abundant number, since it is smaller than the sum of its proper divisors (230083617408).

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

103313133120 is a wasteful number, since it uses less digits than its factorization.

103313133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764308 (or 1764298 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 103313133120 its reverse (21331313301), we get a palindrome (124644446421).

The spelling of 103313133120 in words is "one hundred three billion, three hundred thirteen million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 160 183 192 240 244 305 320 366 480 488 610 732 915 960 976 1220 1464 1830 1952 2440 2928 3660 3904 4880 5856 7320 9760 11712 14640 19520 29280 58560 1764227 3528454 5292681 7056908 8821135 10585362 14113816 17642270 21170724 26463405 28227632 35284540 42341448 52926810 56455264 70569080 84682896 105853620 107617847 112910528 141138160 169365792 211707240 215235694 282276320 322853541 338731584 423414480 430471388 538089235 564552640 645707082 846828960 860942776 1076178470 1291414164 1614267705 1693657920 1721885552 2152356940 2582828328 3228535410 3443771104 4304713880 5165656656 6457070820 6887542208 8609427760 10331313312 12914141640 17218855520 20662626624 25828283280 34437711040 51656566560 103313133120