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1345242402120 = 233537595135297
BaseRepresentation
bin10011100100110110101…
…100100000110101001000
311202121022020220121111010
4103210312230200311020
5134020024023331440
62505555033203520
7166122234515361
oct23446654406510
94677266817433
101345242402120
114795722a1571
12198872b605a0
1399b182ba896
14491780b6b68
1524ed5c96580
hex13936b20d48

1345242402120 has 128 divisors (see below), whose sum is σ = 4215052598400. Its totient is φ = 343119937536.

The previous prime is 1345242402067. The next prime is 1345242402173. The reversal of 1345242402120 is 212042425431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1345242402067) and next prime (1345242402173).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2305689 + ... + 2829608.

It is an arithmetic number, because the mean of its divisors is an integer number (32930098425).

Almost surely, 21345242402120 is an apocalyptic number.

1345242402120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345242402120 is an abundant number, since it is smaller than the sum of its proper divisors (2869810196280).

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

1345242402120 is a wasteful number, since it uses less digits than its factorization.

1345242402120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5135407 (or 5135403 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1345242402120 its reverse (212042425431), we get a palindrome (1557284827551).

The spelling of 1345242402120 in words is "one trillion, three hundred forty-five billion, two hundred forty-two million, four hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 59 60 74 111 118 120 148 177 185 222 236 295 296 354 370 444 472 555 590 708 740 885 888 1110 1180 1416 1480 1770 2183 2220 2360 3540 4366 4440 6549 7080 8732 10915 13098 17464 21830 26196 32745 43660 52392 65490 87320 130980 261960 5135297 10270594 15405891 20541188 25676485 30811782 41082376 51352970 61623564 77029455 102705940 123247128 154058910 190005989 205411880 302982523 308117820 380011978 570017967 605965046 616235640 760023956 908947569 950029945 1140035934 1211930092 1514912615 1520047912 1817895138 1900059890 2280071868 2423860184 2850089835 3029825230 3635790276 3800119780 4544737845 4560143736 5700179670 6059650460 7271580552 7600239560 9089475690 11210353351 11400359340 12119300920 18178951380 22420706702 22800718680 33631060053 36357902760 44841413404 56051766755 67262120106 89682826808 112103533510 134524240212 168155300265 224207067020 269048480424 336310600530 448414134040 672621201060 1345242402120