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13113146145420 = 2233545753136989
BaseRepresentation
bin1011111011010010010001…
…1010101111101010001100
31201102121022200221020211000
42332310210122233222030
53204321210403123140
643520032435100300
72522251662101436
oct276644432575214
951377280836730
1013113146145420
1141a628815a492
1215794ba141690
13741744c19119
14334972db5656
1517b182a90a30
hexbed246afa8c

13113146145420 has 96 divisors (see below), whose sum is σ = 40885725585600. Its totient is φ = 3489187180032.

The previous prime is 13113146145389. The next prime is 13113146145431. The reversal of 13113146145420 is 2454164131131.

13113146145420 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 3 + 14 + 614 + 5 + 4 + 20 = 666.

It is a super-2 number, since 2×131131461454202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26321715 + ... + 26815274.

It is an arithmetic number, because the mean of its divisors is an integer number (425892974850).

Almost surely, 213113146145420 is an apocalyptic number.

13113146145420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13113146145420 is an abundant number, since it is smaller than the sum of its proper divisors (27772579440180).

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

13113146145420 is a wasteful number, since it uses less digits than its factorization.

13113146145420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53137464 (or 53137456 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13113146145420 in words is "thirteen trillion, one hundred thirteen billion, one hundred forty-six million, one hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 457 540 914 1371 1828 2285 2742 4113 4570 5484 6855 8226 9140 12339 13710 16452 20565 24678 27420 41130 49356 61695 82260 123390 246780 53136989 106273978 159410967 212547956 265684945 318821934 478232901 531369890 637643868 797054835 956465802 1062739780 1434698703 1594109670 1912931604 2391164505 2869397406 3188219340 4782329010 5738794812 7173493515 9564658020 14346987030 24283603973 28693974060 48567207946 72850811919 97134415892 121418019865 145701623838 218552435757 242836039730 291403247676 364254059595 437104871514 485672079460 655657307271 728508119190 874209743028 1092762178785 1311314614542 1457016238380 2185524357570 2622629229084 3278286536355 4371048715140 6556573072710 13113146145420