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242333113204 = 2271317198719709
BaseRepresentation
bin1110000110110000101…
…1011101101101110100
3212011111121111122122001
43201230023131231310
512432244234110304
6303154251345044
723336145322060
oct3415413355564
9764447448561
10242333113204
11938557a7776
123ab70a52184
1319b0c86b8a0
14ba2c49aaa0
156484bbdda4
hex386c2ddb74

242333113204 has 96 divisors (see below), whose sum is σ = 552957269760. Its totient is φ = 90178762752.

The previous prime is 242333113133. The next prime is 242333113247. The reversal of 242333113204 is 402311333242.

It is a happy number.

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

It is a congruent number.

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, 12285702 + ... + 12305410.

It is an arithmetic number, because the mean of its divisors is an integer number (5759971560).

Almost surely, 2242333113204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242333113204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276478634880).

242333113204 is an abundant number, since it is smaller than the sum of its proper divisors (310624156556).

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

242333113204 is a wasteful number, since it uses less digits than its factorization.

242333113204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21737 (or 21735 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 242333113204 its reverse (402311333242), we get a palindrome (644644446446).

The spelling of 242333113204 in words is "two hundred forty-two billion, three hundred thirty-three million, one hundred thirteen thousand, two hundred four".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 364 442 476 884 1547 1987 3094 3974 6188 7948 13909 19709 25831 27818 33779 39418 51662 55636 67558 78836 103324 135116 137963 180817 236453 256217 275926 335053 361634 439127 472906 512434 551852 670106 723268 878254 945812 1024868 1340212 1756508 1793519 2345371 3073889 3587038 4355689 4690742 6147778 7174076 8711378 9381484 12295556 17422756 30489823 39161783 60979646 78323566 121959292 156647132 274132481 509103179 548264962 665750311 1018206358 1096529924 1331500622 2036412716 2663001244 3563722253 4660252177 7127444506 8654754043 9320504354 14254889012 17309508086 18641008708 34619016172 60583278301 121166556602 242333113204