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204311312024 = 231729374729789
BaseRepresentation
bin1011111001000111100…
…1110011011010011000
3201112100210210000202112
42332101321303122120
511321412143441044
6233505340251452
720522011332551
oct2762171633230
9645323700675
10204311312024
1179714455796
123371b540b88
131636059c491
149c62911328
1554abbe009e
hex2f91e73698

204311312024 has 128 divisors (see below), whose sum is σ = 440129376000. Its totient is φ = 88397438976.

The previous prime is 204311312021. The next prime is 204311312047. The reversal of 204311312024 is 420213113402.

It is a super-2 number, since 2×2043113120242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204311312021) 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, 6843722 + ... + 6873510.

It is an arithmetic number, because the mean of its divisors is an integer number (3438510750).

Almost surely, 2204311312024 is an apocalyptic number.

It is an amenable number.

204311312024 is an abundant number, since it is smaller than the sum of its proper divisors (235818063976).

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

204311312024 is a wasteful number, since it uses less digits than its factorization.

204311312024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29925 (or 29921 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 204311312024 its reverse (420213113402), we get a palindrome (624524425426).

The spelling of 204311312024 in words is "two hundred four billion, three hundred eleven million, three hundred twelve thousand, twenty-four".

Divisors: 1 2 4 8 17 29 34 37 47 58 68 74 94 116 136 148 188 232 296 376 493 629 799 986 1073 1258 1363 1598 1739 1972 2146 2516 2726 3196 3478 3944 4292 5032 5452 6392 6956 8584 10904 13912 18241 23171 29563 29789 36482 46342 50431 59126 59578 72964 92684 100862 118252 119156 145928 185368 201724 236504 238312 403448 506413 857327 863881 1012826 1102193 1400083 1714654 1727762 2025652 2204386 2800166 3429308 3455524 4051304 4408772 5600332 6858616 6911048 8817544 11200664 14685977 18737281 23801411 29371954 31963597 37474562 40602407 47602822 51803071 58743908 63927194 74949124 81204814 95205644 103606142 117487816 127854388 149898248 162409628 190411288 207212284 255708776 324819256 414424568 543381149 690240919 880652207 1086762298 1380481838 1502289059 1761304414 2173524596 2760963676 3004578118 3522608828 4347049192 5521927352 6009156236 7045217656 12018312472 25538914003 51077828006 102155656012 204311312024