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31011014320 = 24511136740459
BaseRepresentation
bin11100111000011001…
…101000011010110000
32222001012200202021221
4130320121220122300
51002002304424240
622125105354424
72145324162316
oct347031503260
988035622257
1031011014320
1112173a00060
126015638a14
132c0298a720
1417028220b6
15c17783a4a
hex7386686b0

31011014320 has 160 divisors (see below), whose sum is σ = 85971997440. Its totient is φ = 10253675520.

The previous prime is 31011014261. The next prime is 31011014329. The reversal of 31011014320 is 2341011013.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 31011014294 and 31011014303.

It is not an unprimeable number, because it can be changed into a prime (31011014329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 746251 + ... + 786709.

It is an arithmetic number, because the mean of its divisors is an integer number (537324984).

Almost surely, 231011014320 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 31011014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42985998720).

31011014320 is an abundant number, since it is smaller than the sum of its proper divisors (54960983120).

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

31011014320 is a wasteful number, since it uses less digits than its factorization.

31011014320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40563 (or 40557 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31011014320 its reverse (2341011013), we get a palindrome (33352025333).

The spelling of 31011014320 in words is "thirty-one billion, eleven million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 67 80 88 104 110 130 134 143 176 208 220 260 268 286 335 440 520 536 572 670 715 737 871 880 1040 1072 1144 1340 1430 1474 1742 2288 2680 2860 2948 3484 3685 4355 5360 5720 5896 6968 7370 8710 9581 11440 11792 13936 14740 17420 19162 29480 34840 38324 40459 47905 58960 69680 76648 80918 95810 153296 161836 191620 202295 323672 383240 404590 445049 525967 647344 766480 809180 890098 1051934 1618360 1780196 2103868 2225245 2629835 2710753 3236720 3560392 4207736 4450490 5259670 5421506 5785637 7120784 8415472 8900980 10519340 10843012 11571274 13553765 17801960 21038680 21686024 23142548 27107530 28928185 29818283 35239789 35603920 42077360 43372048 46285096 54215060 57856370 59636566 70479578 92570192 108430120 115712740 119273132 140959156 149091415 176198945 216860240 231425480 238546264 281918312 298182830 352397890 387637679 462850960 477092528 563836624 596365660 704795780 775275358 1192731320 1409591560 1550550716 1938188395 2385462640 2819183120 3101101432 3876376790 6202202864 7752753580 15505507160 31011014320