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31233320320 = 275677110259
BaseRepresentation
bin11101000101101001…
…101010010110000000
32222121201000001210111
4131011221222112000
51002431212222240
622203130241104
72153663561626
oct350551522600
988551001714
1031233320320
1112278438924
126077b86194
132c39a54937
14172416d516
15c2c0471ea
hex745a6a580

31233320320 has 128 divisors (see below), whose sum is σ = 76856428800. Its totient is φ = 12132341760.

The previous prime is 31233320311. The next prime is 31233320369. The reversal of 31233320320 is 2302333213.

Adding to 31233320320 its reverse (2302333213), we get a palindrome (33535653533).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 31233320291 and 31233320300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3039351 + ... + 3049609.

It is an arithmetic number, because the mean of its divisors is an integer number (600440850).

Almost surely, 231233320320 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 31233320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38428214400).

31233320320 is an abundant number, since it is smaller than the sum of its proper divisors (45623108480).

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

31233320320 is a wasteful number, since it uses less digits than its factorization.

31233320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10416 (or 10404 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

The spelling of 31233320320 in words is "thirty-one billion, two hundred thirty-three million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 71 80 128 134 142 160 268 284 320 335 355 536 568 640 670 710 1072 1136 1340 1420 2144 2272 2680 2840 4288 4544 4757 5360 5680 8576 9088 9514 10259 10720 11360 19028 20518 21440 22720 23785 38056 41036 42880 45440 47570 51295 76112 82072 95140 102590 152224 164144 190280 205180 304448 328288 380560 410360 608896 656576 687353 728389 761120 820720 1313152 1374706 1456778 1522240 1641440 2749412 2913556 3044480 3282880 3436765 3641945 5498824 5827112 6565760 6873530 7283890 10997648 11654224 13747060 14567780 21995296 23308448 27494120 29135560 43990592 46616896 48802063 54988240 58271120 87981184 93233792 97604126 109976480 116542240 195208252 219952960 233084480 244010315 390416504 439905920 466168960 488020630 780833008 976041260 1561666016 1952082520 3123332032 3904165040 6246664064 7808330080 15616660160 31233320320