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242232013320 = 2335111710794653
BaseRepresentation
bin1110000110011000100…
…1110011001000001000
3212011020120021020122220
43201212021303020020
512432042343411240
6303140240414040
723333510066163
oct3414611631010
9764216236586
10242232013320
1193803724950
123ab43017320
1319ac493157b
14ba1cca0ada
15647ad9d5d0
hex3866273208

242232013320 has 128 divisors (see below), whose sum is σ = 839392295040. Its totient is φ = 55268618240.

The previous prime is 242232013319. The next prime is 242232013321. The reversal of 242232013320 is 23310232242.

It is an interprime number because it is at equal distance from previous prime (242232013319) and next prime (242232013321).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (242232013321) 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, 5374887 + ... + 5419766.

It is an arithmetic number, because the mean of its divisors is an integer number (6557752305).

Almost surely, 2242232013320 is an apocalyptic number.

242232013320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242232013320 is an abundant number, since it is smaller than the sum of its proper divisors (597160281720).

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

242232013320 is a wasteful number, since it uses less digits than its factorization.

242232013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10794695 (or 10794691 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 242232013320 its reverse (23310232242), we get a palindrome (265542245562).

The spelling of 242232013320 in words is "two hundred forty-two billion, two hundred thirty-two million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 22440 10794653 21589306 32383959 43178612 53973265 64767918 86357224 107946530 118741183 129535836 161919795 183509101 215893060 237482366 259071672 323839590 356223549 367018202 431786120 474964732 550527303 593705915 647679180 712447098 734036404 917545505 949929464 1101054606 1187411830 1295358360 1424894196 1468072808 1781117745 1835091010 2018600111 2202109212 2374823660 2752636515 2849788392 3562235490 3670182020 4037200222 4404218424 4749647320 5505273030 6055800333 7124470980 7340364040 8074400444 10093000555 11010546060 12111600666 14248941960 16148800888 20186001110 22021092120 24223201332 30279001665 40372002220 48446402664 60558003330 80744004440 121116006660 242232013320