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313013011300 = 2252118313126171
BaseRepresentation
bin1001000111000010000…
…01111000001101100100
31002220221102012111100121
410203201001320031210
520112022312330200
6355443551051324
731420516460653
oct4434101701544
91086842174317
10313013011300
111108257592a0
12507b7510b44
1323694b079b2
14112154d719a
15821ed30e1a
hex48e1078364

313013011300 has 144 divisors (see below), whose sum is σ = 755668134144. Its totient is φ = 111588880000.

The previous prime is 313013011291. The next prime is 313013011313. The reversal of 313013011300 is 3110310313.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11947215 + ... + 11973385.

It is an arithmetic number, because the mean of its divisors is an integer number (5247695376).

Almost surely, 2313013011300 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 313013011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377834067072).

313013011300 is an abundant number, since it is smaller than the sum of its proper divisors (442655122844).

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

313013011300 is a wasteful number, since it uses less digits than its factorization.

313013011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26410 (or 26403 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 313013011300 its reverse (3110310313), we get a palindrome (316123321613).

The spelling of 313013011300 in words is "three hundred thirteen billion, thirteen million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 83 100 110 131 166 220 262 275 332 415 524 550 655 830 913 1100 1310 1441 1660 1826 2075 2620 2882 3275 3652 4150 4565 5764 6550 7205 8300 9130 10873 13100 14410 18260 21746 22825 26171 28820 36025 43492 45650 52342 54365 72050 91300 104684 108730 119603 130855 144100 217460 239206 261710 271825 287881 478412 523420 543650 575762 598015 654275 1087300 1151524 1196030 1308550 1439405 2172193 2392060 2617100 2878810 2990075 3428401 4344386 5757620 5980150 6856802 7197025 8688772 10860965 11960300 13713604 14394050 17142005 21721930 23894123 28788100 34284010 37712411 43443860 47788246 54304825 68568020 75424822 85710025 95576492 108609650 119470615 150849644 171420050 188562055 217219300 238941230 284557283 342840100 377124110 477882460 569114566 597353075 754248220 942810275 1138229132 1194706150 1422786415 1885620550 2389412300 2845572830 3130130113 3771241100 5691145660 6260260226 7113932075 12520520452 14227864150 15650650565 28455728300 31301301130 62602602260 78253252825 156506505650 313013011300