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313300022010144 = 25313349719317147
BaseRepresentation
bin100011100111100011101100…
…0100001010010000100100000
31112002022012010012210101010020
41013033013120201102010200
5312031101421113311034
63030200013153433440
7122664115416324501
oct10717073041220440
91462265105711106
10313300022010144
119091087a78a014
122b17b78756b880
13105a80b0627190
145751b3288cba8
1526349bc5a1249
hex11cf1d8852120

313300022010144 has 96 divisors (see below), whose sum is σ = 888212814350400. Its totient is φ = 96123788854272.

The previous prime is 313300022010137. The next prime is 313300022010337. The reversal of 313300022010144 is 441010220003313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359223022 + ... + 360094125.

It is an arithmetic number, because the mean of its divisors is an integer number (9252216816150).

Almost surely, 2313300022010144 is an apocalyptic number.

It is an amenable number.

313300022010144 is an abundant number, since it is smaller than the sum of its proper divisors (574912792340256).

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

313300022010144 is a wasteful number, since it uses less digits than its factorization.

313300022010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719317522 (or 719317514 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 313300022010144 its reverse (441010220003313), we get a palindrome (754310242013457).

The spelling of 313300022010144 in words is "three hundred thirteen trillion, three hundred billion, twenty-two million, ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 349 416 624 698 1047 1248 1396 2094 2792 4188 4537 5584 8376 9074 11168 13611 16752 18148 27222 33504 36296 54444 72592 108888 145184 217776 435552 719317147 1438634294 2157951441 2877268588 4315902882 5754537176 8631805764 9351122911 11509074352 17263611528 18702245822 23018148704 28053368733 34527223056 37404491644 56106737466 69054446112 74808983288 112213474932 149617966576 224426949864 251041684303 299235933152 448853899728 502083368606 753125052909 897707799456 1004166737212 1506250105818 2008333474424 3012500211636 3263541895939 4016666948848 6025000423272 6527083791878 8033333897696 9790625687817 12050000846544 13054167583756 19581251375634 24100001693088 26108335167512 39162502751268 52216670335024 78325005502536 104433340670048 156650011005072 313300022010144