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242501012501260 = 2253071031172122259
BaseRepresentation
bin110111001000110110101010…
…101101010011001100001100
31011210121212111111211000201011
4313020312222231103030030
5223241114033200020020
62215431232135255004
7102036056104024552
oct6710665255231414
91153555444730634
10242501012501260
11702a51136288a7
12232463a251a464
13a540993c31b36
1443c517c455bd2
151d0801b71c35a
hexdc8daab5330c

242501012501260 has 96 divisors (see below), whose sum is σ = 511726622077440. Its totient is φ = 96530203814400.

The previous prime is 242501012501173. The next prime is 242501012501269. The reversal of 242501012501260 is 62105210105242.

242501012501260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242501012501269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10894504011 + ... + 10894526269.

It is an arithmetic number, because the mean of its divisors is an integer number (5330485646640).

Almost surely, 2242501012501260 is an apocalyptic number.

242501012501260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242501012501260 is an abundant number, since it is smaller than the sum of its proper divisors (269225609576180).

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

242501012501260 is a wasteful number, since it uses less digits than its factorization.

242501012501260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25327 (or 25325 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 242501012501260 in words is "two hundred forty-two trillion, five hundred one billion, twelve million, five hundred one thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 307 614 1031 1228 1535 1721 2062 3070 3442 4124 5155 6140 6884 8605 10310 17210 20620 22259 34420 44518 89036 111295 222590 316517 445180 528347 633034 1056694 1266068 1582585 1774351 2113388 2641735 3165170 3548702 5283470 6330340 6833513 7097404 8871755 10566940 13667026 17743510 22949029 27334052 34167565 35487020 38307739 45898058 68335130 76615478 91796116 114745145 136670260 153230956 191538695 229490290 383077390 458980580 544725757 766154780 1089451514 2178903028 2723628785 5447257570 7045351903 10894515140 11760475873 14090703806 23520951746 28181407612 35226759515 39495278909 47041903492 58802379365 70453519030 78990557818 117604758730 140907038060 157981115636 197476394545 235209517460 394952789090 789905578180 12125050625063 24250101250126 48500202500252 60625253125315 121250506250630 242501012501260