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231600351136 = 25711106388423
BaseRepresentation
bin1101011110110001110…
…1001110011110100000
3211010210121220211220211
43113230131032132200
512243304142214021
6254221251143504
722506162334420
oct3275435163640
9733717824824
10231600351136
118a2483a6780
1238a765a4b94
1318abc110abb
14b2d0cb2480
15605781b3e1
hex35ec74e7a0

231600351136 has 96 divisors (see below), whose sum is σ = 569014806528. Its totient is φ = 90147997440.

The previous prime is 231600351133. The next prime is 231600351163. The reversal of 231600351136 is 631153006132.

It is a junction number, because it is equal to n+sod(n) for n = 231600351098 and 231600351107.

It is not an unprimeable number, because it can be changed into a prime (231600351133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2575021 + ... + 2663443.

It is an arithmetic number, because the mean of its divisors is an integer number (5927237568).

Almost surely, 2231600351136 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 231600351136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284507403264).

231600351136 is an abundant number, since it is smaller than the sum of its proper divisors (337414455392).

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

231600351136 is a wasteful number, since it uses less digits than its factorization.

231600351136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89514 (or 89506 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

Adding to 231600351136 its reverse (631153006132), we get a palindrome (862753357268).

The spelling of 231600351136 in words is "two hundred thirty-one billion, six hundred million, three hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1063 1232 2126 2464 4252 7441 8504 11693 14882 17008 23386 29764 34016 46772 59528 81851 88423 93544 119056 163702 176846 187088 238112 327404 353692 374176 618961 654808 707384 972653 1237922 1309616 1414768 1945306 2475844 2619232 2829536 3890612 4951688 6808571 7781224 9903376 13617142 15562448 19806752 27234284 31124896 54468568 93993649 108937136 187987298 217874272 375974596 657955543 751949192 1033930139 1315911086 1503898384 2067860278 2631822172 3007796768 4135720556 5263644344 7237510973 8271441112 10527288688 14475021946 16542882224 21054577376 28950043892 33085764448 57900087784 115800175568 231600351136