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13104133103100 = 22352135956949731
BaseRepresentation
bin1011111010110000101100…
…1100101101110111111100
31201101202001120022021002210
42332230023030231313330
53204144231033244400
643511542230220420
72521512430360224
oct276541314556774
951352046267083
1013104133103100
1141a2482570386
1215778037b4710
137409398505a0
14334359d67084
1517ad06689950
hexbeb0b32ddfc

13104133103100 has 144 divisors (see below), whose sum is σ = 41523188595840. Its totient is φ = 3170960966400.

The previous prime is 13104133103071. The next prime is 13104133103111. The reversal of 13104133103100 is 130133140131.

It is a super-2 number, since 2×131041331031002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 28244766 + ... + 28704965.

It is an arithmetic number, because the mean of its divisors is an integer number (288355476360).

Almost surely, 213104133103100 is an apocalyptic number.

13104133103100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13104133103100 is an abundant number, since it is smaller than the sum of its proper divisors (28419055492740).

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

13104133103100 is a wasteful number, since it uses less digits than its factorization.

13104133103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56949820 (or 56949813 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13104133103100 its reverse (130133140131), we get a palindrome (13234266243231).

The spelling of 13104133103100 in words is "thirteen trillion, one hundred four billion, one hundred thirty-three million, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 59 60 65 75 78 100 118 130 150 156 177 195 236 260 295 300 325 354 390 590 650 708 767 780 885 975 1180 1300 1475 1534 1770 1950 2301 2950 3068 3540 3835 3900 4425 4602 5900 7670 8850 9204 11505 15340 17700 19175 23010 38350 46020 57525 76700 115050 230100 56949731 113899462 170849193 227798924 284748655 341698386 569497310 683396772 740346503 854245965 1138994620 1423743275 1480693006 1708491930 2221039509 2847486550 2961386012 3360034129 3416983860 3701732515 4271229825 4442079018 5694973100 6720068258 7403465030 8542459650 8884158036 10080102387 11105197545 13440136516 14806930060 16800170645 17084919300 18508662575 20160204774 22210395090 33600341290 37017325150 40320409548 43680443677 44420790180 50400511935 55525987725 67200682580 74034650300 84000853225 87360887354 100801023870 111051975450 131041331031 168001706450 174721774708 201602047740 218402218385 222103950900 252002559675 262082662062 336003412900 436804436770 504005119350 524165324124 655206655155 873608873540 1008010238700 1092011091925 1310413310310 2184022183850 2620826620620 3276033275775 4368044367700 6552066551550 13104133103100