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231261625104 = 24337434217193
BaseRepresentation
bin1101011101100001000…
…1000101101100010000
3211002221000112210011020
43113120101011230100
512242110434000404
6254123511115440
722464610244106
oct3273021055420
9732830483136
10231261625104
118a094181904
12389a1072b80
1318a66ba42b3
14b29bcdbc76
156037c0ced9
hex35d8445b10

231261625104 has 160 divisors (see below), whose sum is σ = 629420440704. Its totient is φ = 73075322880.

The previous prime is 231261625087. The next prime is 231261625151. The reversal of 231261625104 is 401526162132.

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, 32147332 + ... + 32154524.

Almost surely, 2231261625104 is an apocalyptic number.

231261625104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231261625104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314710220352).

231261625104 is an abundant number, since it is smaller than the sum of its proper divisors (398158815600).

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

231261625104 is a wasteful number, since it uses less digits than its factorization.

231261625104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7705 (or 7699 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 231261625104 its reverse (401526162132), we get a palindrome (632787787236).

The spelling of 231261625104 in words is "two hundred thirty-one billion, two hundred sixty-one million, six hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 37 43 48 74 86 111 129 148 172 222 258 296 344 421 444 516 592 688 842 888 1032 1263 1591 1684 1776 2064 2526 3182 3368 4773 5052 6364 6736 7193 9546 10104 12728 14386 15577 18103 19092 20208 21579 25456 28772 31154 36206 38184 43158 46731 54309 57544 62308 72412 76368 86316 93462 108618 115088 124616 144824 172632 186924 217236 249232 266141 289648 309299 345264 373848 434472 532282 618598 669811 747696 798423 868944 927897 1064564 1237196 1339622 1596846 1855794 2009433 2129128 2474392 2679244 3028253 3193692 3711588 4018866 4258256 4948784 5358488 6056506 6387384 7423176 8037732 9084759 10716976 11444063 12113012 12774768 14846352 16075464 18169518 22888126 24226024 32150928 34332189 36339036 45776252 48452048 68664378 72678072 91552504 112045361 130214879 137328756 145356144 183105008 224090722 260429758 274657512 336136083 390644637 448181444 520859516 549315024 672272166 781289274 896362888 1041719032 1344544332 1562578548 1792725776 2083438064 2689088664 3125157096 4817950523 5378177328 6250314192 9635901046 14453851569 19271802092 28907703138 38543604184 57815406276 77087208368 115630812552 231261625104