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31000230320 = 24517106921323
BaseRepresentation
bin11100110111110000…
…011111100110110000
32222000110101212102112
4130313300133212300
51001442024332240
622124042304452
72145133416143
oct346760374660
988013355375
1031000230320
1112168904964
126011ab8128
132c00683067
14170121605a
15c16853665
hex737c1f9b0

31000230320 has 80 divisors (see below), whose sum is σ = 76390244640. Its totient is φ = 11659210752.

The previous prime is 31000230307. The next prime is 31000230377. The reversal of 31000230320 is 2303200013.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×310002303202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31000230295 and 31000230304.

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, 1443179 + ... + 1464501.

It is an arithmetic number, because the mean of its divisors is an integer number (954878058).

Almost surely, 231000230320 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 31000230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38195122320).

31000230320 is an abundant number, since it is smaller than the sum of its proper divisors (45390014320).

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

31000230320 is a wasteful number, since it uses less digits than its factorization.

31000230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22422 (or 22416 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 31000230320 its reverse (2303200013), we get a palindrome (33303430333).

The spelling of 31000230320 in words is "thirty-one billion, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1069 1360 2138 4276 5345 8552 10690 17104 18173 21323 21380 36346 42646 42760 72692 85292 85520 90865 106615 145384 170584 181730 213230 290768 341168 362491 363460 426460 724982 726920 852920 1449964 1453840 1705840 1812455 2899928 3624910 5799856 7249820 14499640 22794287 28999280 45588574 91177148 113971435 182354296 227942870 364708592 387502879 455885740 775005758 911771480 1550011516 1823542960 1937514395 3100023032 3875028790 6200046064 7750057580 15500115160 31000230320