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31010002320 = 24351141286493
BaseRepresentation
bin11100111000010101…
…110001010110010000
32222001010210100002110
4130320111301112100
51002002030033240
622125031545320
72145312446013
oct347025612620
988033710073
1031010002320
11121733797a0
12601522b240
132c026c4bcb
14170263b37a
15c17633c80
hex738571590

31010002320 has 160 divisors (see below), whose sum is σ = 107428374144. Its totient is φ = 7334195200.

The previous prime is 31010002313. The next prime is 31010002339. The reversal of 31010002320 is 2320001013.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 31010002296 and 31010002305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35007 + ... + 251486.

Almost surely, 231010002320 is an apocalyptic number.

31010002320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31010002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53714187072).

31010002320 is an abundant number, since it is smaller than the sum of its proper divisors (76418371824).

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

31010002320 is a wasteful number, since it uses less digits than its factorization.

31010002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286561 (or 286555 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 31010002320 its reverse (2320001013), we get a palindrome (33330003333).

The spelling of 31010002320 in words is "thirty-one billion, ten million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 41 44 48 55 60 66 80 82 88 110 120 123 132 164 165 176 205 220 240 246 264 328 330 410 440 451 492 528 615 656 660 820 880 902 984 1230 1320 1353 1640 1804 1968 2255 2460 2640 2706 3280 3608 4510 4920 5412 6765 7216 9020 9840 10824 13530 18040 21648 27060 36080 54120 108240 286493 572986 859479 1145972 1432465 1718958 2291944 2864930 3151423 3437916 4297395 4583888 5729860 6302846 6875832 8594790 9454269 11459720 11746213 12605692 13751664 15757115 17189580 18908538 22919440 23492426 25211384 31514230 34379160 35238639 37817076 46984852 47271345 50422768 58731065 63028460 68758320 70477278 75634152 93969704 94542690 117462130 126056920 129208343 140954556 151268304 176193195 187939408 189085380 234924260 252113840 258416686 281909112 352386390 378170760 387625029 469848520 516833372 563818224 646041715 704772780 756341520 775250058 939697040 1033666744 1292083430 1409545560 1550500116 1938125145 2067333488 2584166860 2819091120 3101000232 3876250290 5168333720 6202000464 7752500580 10336667440 15505001160 31010002320