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13320232333100 = 22527117124364793
BaseRepresentation
bin1100000111010101101110…
…1101110110111100101100
31202011101211220010120100222
43001311123231312330230
53221214313434124400
644155121422510512
72543232526461650
oct301653355667454
952141756116328
1013320232333100
114276095992340
1215b1672a35438
13758128359b54
143409ba24aa60
151817531a6185
hexc1d5bb76f2c

13320232333100 has 144 divisors (see below), whose sum is σ = 36544851979776. Its totient is φ = 4093285056000.

The previous prime is 13320232333073. The next prime is 13320232333127. The reversal of 13320232333100 is 133323202331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13320232333073) and next prime (13320232333127).

It is a super-2 number, since 2×133202323331002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13320232333100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11635697 + ... + 12729096.

It is an arithmetic number, because the mean of its divisors is an integer number (253783694304).

Almost surely, 213320232333100 is an apocalyptic number.

13320232333100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13320232333100 is an abundant number, since it is smaller than the sum of its proper divisors (23224619646676).

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

13320232333100 is a wasteful number, since it uses less digits than its factorization.

13320232333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24364896 (or 24364889 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 13320232333100 its reverse (133323202331), we get a palindrome (13453555535431).

The spelling of 13320232333100 in words is "thirteen trillion, three hundred twenty billion, two hundred thirty-two million, three hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 71 77 100 110 140 142 154 175 220 275 284 308 350 355 385 497 550 700 710 770 781 994 1100 1420 1540 1562 1775 1925 1988 2485 3124 3550 3850 3905 4970 5467 7100 7700 7810 9940 10934 12425 15620 19525 21868 24850 27335 39050 49700 54670 78100 109340 136675 273350 546700 24364793 48729586 97459172 121823965 170553551 243647930 268012723 341107102 487295860 536025446 609119825 682214204 852767755 1072050892 1218239650 1340063615 1705535510 1729900303 1876089061 2436479300 2680127230 3411071020 3459800606 3752178122 4263838775 5360254460 6700318075 6919601212 7504356244 8527677550 8649501515 9380445305 12109302121 13400636150 17055355100 17299003030 18760890610 19028903333 24218604242 26801272300 34598006060 37521781220 38057806666 43247507575 46902226525 48437208484 60546510605 76115613332 86495015150 93804453050 95144516665 121093021210 133202323331 172990030300 187608906100 190289033330 242186042420 266404646662 302732553025 380578066660 475722583325 532809293324 605465106050 666011616655 951445166650 1210930212100 1332023233310 1902890333300 2664046466620 3330058083275 6660116166550 13320232333100