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31133023202232 = 2333768821299191
BaseRepresentation
bin1110001010000101110001…
…10010011110101110111000
311002020021202220202000102000
413011002320302132232320
513040040412414432412
6150114151410341000
76362200223612250
oct705027062365670
9132207686660360
1031133023202232
119a13493a63716
1235a995658a760
13144aaa6a28973
14798bbc5c4960
1538ec949cc4dc
hex1c50b8c9ebb8

31133023202232 has 128 divisors (see below), whose sum is σ = 98836760755200. Its totient is φ = 8894990505600.

The previous prime is 31133023202227. The next prime is 31133023202233. The reversal of 31133023202232 is 23220232033113.

31133023202232 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 302 + 320 + 2 + 2 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31133023202196 and 31133023202205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31133023202233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103907757 + ... + 104206947.

It is an arithmetic number, because the mean of its divisors is an integer number (772162193400).

Almost surely, 231133023202232 is an apocalyptic number.

It is an amenable number.

31133023202232 is an abundant number, since it is smaller than the sum of its proper divisors (67703737552968).

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

31133023202232 is a wasteful number, since it uses less digits than its factorization.

31133023202232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368034 (or 368024 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 31133023202232 its reverse (23220232033113), we get a palindrome (54353255235345).

The spelling of 31133023202232 in words is "thirty-one trillion, one hundred thirty-three billion, twenty-three million, two hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 68821 137642 206463 275284 299191 412926 481747 550568 598382 619389 825852 897573 963494 1196764 1238778 1445241 1651704 1795146 1858167 1926988 2094337 2393528 2477556 2692719 2890482 3590292 3716334 3853976 4188674 4335723 4955112 5385438 5780964 6283011 7180584 7432668 8078157 8377348 8671446 10770876 11561928 12566022 13007169 14865336 16156314 16754696 17342892 18849033 21541752 25132044 26014338 32312628 34685784 37698066 50264088 52028676 56547099 64625256 75396132 104057352 113094198 150792264 226188396 452376792 20590623811 41181247622 61771871433 82362495244 123543742866 144134366677 164724990488 185315614299 247087485732 288268733354 370631228598 432403100031 494174971464 555946842897 576537466708 741262457196 864806200062 1111893685794 1153074933416 1297209300093 1482524914392 1729612400124 2223787371588 2594418600186 3459224800248 3891627900279 4447574743176 5188837200372 7783255800558 10377674400744 15566511601116 31133023202232