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313030201000 = 23531133784443
BaseRepresentation
bin1001000111000100000…
…11011100111010101000
31002220222121112211012011
410203202003130322220
520112041212413000
6355445403325304
731421115543466
oct4434203347250
91086877484164
10313030201000
1111083442a160
1250801220834
1323698545c0a
14112178cd836
1582215c92ba
hex48e20dcea8

313030201000 has 128 divisors (see below), whose sum is σ = 801461381760. Its totient is φ = 113490048000.

The previous prime is 313030200983. The next prime is 313030201019. The reversal of 313030201000 is 102030313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3664779 + ... + 3749221.

It is an arithmetic number, because the mean of its divisors is an integer number (6261417045).

Almost surely, 2313030201000 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 313030201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400730690880).

313030201000 is an abundant number, since it is smaller than the sum of its proper divisors (488431180760).

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

313030201000 is a wasteful number, since it uses less digits than its factorization.

313030201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84812 (or 84798 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 313030201000 its reverse (102030313), we get a palindrome (313132231313).

The spelling of 313030201000 in words is "three hundred thirteen billion, thirty million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 337 440 500 550 674 1000 1100 1348 1375 1685 2200 2696 2750 3370 3707 5500 6740 7414 8425 11000 13480 14828 16850 18535 29656 33700 37070 42125 67400 74140 84250 84443 92675 148280 168500 168886 185350 337000 337772 370700 422215 463375 675544 741400 844430 926750 928873 1688860 1853500 1857746 2111075 3377720 3707000 3715492 4222150 4644365 7430984 8444300 9288730 10555375 16888600 18577460 21110750 23221825 28457291 37154920 42221500 46443650 56914582 84443000 92887300 113829164 116109125 142286455 185774600 227658328 232218250 284572910 313030201 464436500 569145820 626060402 711432275 928873000 1138291640 1252120804 1422864550 1565151005 2504241608 2845729100 3130302010 3557161375 5691458200 6260604020 7114322750 7825755025 12521208040 14228645500 15651510050 28457291000 31303020100 39128775125 62606040200 78257550250 156515100500 313030201000