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13111342344100 = 225271113130982441
BaseRepresentation
bin1011111011001011100011…
…1001110010011110100100
31201102102122222202122120201
42332302320321302132210
53204304012120002400
643515133441240244
72522156200042450
oct276627071623644
951372588678521
1013111342344100
1141a5541a398a0
121579096033084
137415182c7a70
143348415cd660
1517b0c953606a
hexbecb8e727a4

13111342344100 has 144 divisors (see below), whose sum is σ = 38200767244416. Its totient is φ = 3772294272000.

The previous prime is 13111342344043. The next prime is 13111342344103. The reversal of 13111342344100 is 144324311131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (13111342344103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65391121 + ... + 65591320.

It is an arithmetic number, because the mean of its divisors is an integer number (265283105864).

Almost surely, 213111342344100 is an apocalyptic number.

13111342344100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13111342344100 is an abundant number, since it is smaller than the sum of its proper divisors (25089424900316).

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

13111342344100 is a wasteful number, since it uses less digits than its factorization.

13111342344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130982486 (or 130982479 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 13111342344100 its reverse (144324311131), we get a palindrome (13255666655231).

The spelling of 13111342344100 in words is "thirteen trillion, one hundred eleven billion, three hundred forty-two million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 130982441 261964882 523929764 654912205 916877087 1309824410 1440806851 1702771733 1833754174 2619648820 2881613702 3274561025 3405543466 3667508348 4584385435 5763227404 6549122050 6811086932 7204034255 8513858665 9168770870 10085647957 11919402131 13098244100 14408068510 17027717330 18337541740 18730489063 20171295914 22921927175 23838804262 28816137020 34055434660 36020171275 37460978126 40342591828 42569293325 45843854350 47677608524 50428239785 59597010655 72040342550 74921956252 85138586650 91687708700 93652445315 100856479570 119194021310 131113423441 144080685100 170277173300 187304890630 201712959140 238388042620 252141198925 262226846882 297985053275 374609781260 468262226575 504282397850 524453693764 595970106550 655567117205 936524453150 1008564795700 1191940213100 1311134234410 1873048906300 2622268468820 3277835586025 6555671172050 13111342344100