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231340323032 = 237131761306437
BaseRepresentation
bin1101011101110011110…
…1010011000011011000
3211010010111122001102022
43113130331103003120
512242241110314112
6254135401554012
722466554205120
oct3273475230330
9733114561368
10231340323032
118a124643815
1238a034a5908
1318a7a299b10
14b2a8545c80
15603eaa5d72
hex35dcf530d8

231340323032 has 128 divisors (see below), whose sum is σ = 574534477440. Its totient is φ = 84723425280.

The previous prime is 231340323029. The next prime is 231340323061. The reversal of 231340323032 is 230323043132.

It is a super-3 number, since 3×2313403230323 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 231340322992 and 231340323010.

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, 601718 + ... + 908154.

It is an arithmetic number, because the mean of its divisors is an integer number (4488550605).

Almost surely, 2231340323032 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 231340323032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287267238720).

231340323032 is an abundant number, since it is smaller than the sum of its proper divisors (343194154408).

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

231340323032 is a wasteful number, since it uses less digits than its factorization.

231340323032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306541 (or 306537 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 231340323032 its reverse (230323043132), we get a palindrome (461663366164).

The spelling of 231340323032 in words is "two hundred thirty-one billion, three hundred forty million, three hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 61 68 91 104 119 122 136 182 221 238 244 364 427 442 476 488 728 793 854 884 952 1037 1547 1586 1708 1768 2074 3094 3172 3416 4148 5551 6188 6344 7259 8296 11102 12376 13481 14518 22204 26962 29036 44408 53924 58072 94367 107848 188734 306437 377468 612874 754936 1225748 2145059 2451496 3983681 4290118 5209429 7967362 8580236 10418858 15934724 17160472 18692657 20837716 27885767 31869448 36466003 37385314 41675432 55771534 67722577 72932006 74770628 111543068 130848599 135445154 145864012 149541256 223086136 243004541 261697198 270890308 291728024 317775169 474058039 486009082 523394396 541780616 635550338 948116078 972018164 1046788792 1271100676 1701031787 1896232156 1944036328 2224426183 2542201352 3402063574 3792464312 4131077197 4448852366 6804127148 8262154394 8897704732 13608254296 16524308788 17795409464 28917540379 33048617576 57835080758 115670161516 231340323032