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103211133120 = 263453981911
BaseRepresentation
bin110000000011111011…
…1001110100011000000
3100212101221221210210000
41200013313032203000
53142334022224440
6115225312440000
710312445104434
oct1400767164300
9325357853700
10103211133120
113a853aa2a27
1218005249000
13996ab78804
144dd17069c4
152a410d6730
hex1807dce8c0

103211133120 has 140 divisors (see below), whose sum is σ = 367140250224. Its totient is φ = 27522961920.

The previous prime is 103211133089. The next prime is 103211133127. The reversal of 103211133120 is 21331112301.

103211133120 is a `hidden beast` number, since 1 + 0 + 321 + 11 + 331 + 2 + 0 = 666.

103211133120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103211133093 and 103211133102.

It is not an unprimeable number, because it can be changed into a prime (103211133127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1965036 + ... + 2016875.

Almost surely, 2103211133120 is an apocalyptic number.

103211133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103211133120 is an abundant number, since it is smaller than the sum of its proper divisors (263929117104).

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

103211133120 is an equidigital number, since it uses as much as digits as its factorization.

103211133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981940 (or 3981921 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103211133120 its reverse (21331112301), we get a palindrome (124542245421).

The spelling of 103211133120 in words is "one hundred three billion, two hundred eleven million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 3981911 7963822 11945733 15927644 19909555 23891466 31855288 35837199 39819110 47782932 59728665 63710576 71674398 79638220 95565864 107511597 119457330 127421152 143348796 159276440 179185995 191131728 215023194 238914660 254842304 286697592 318552880 322534791 358371990 382263456 430046388 477829320 537557985 573395184 637105760 645069582 716743980 764526912 860092776 955658640 1075115970 1146790368 1274211520 1290139164 1433487960 1612673955 1720185552 1911317280 2150231940 2293580736 2580278328 2866975920 3225347910 3440371104 3822634560 4300463880 5160556656 5733951840 6450695820 6880742208 8600927760 10321113312 11467903680 12901391640 17201855520 20642226624 25802783280 34403711040 51605566560 103211133120