Search a number
-
+
310311313020100 = 225271901233194043
BaseRepresentation
bin100011010001110011111101…
…1100101010001010011000100
31111200201110201221112211112001
41012203213323211101103010
5311133120032113120400
63015551014343435044
7122235152421140650
oct10643477345212304
91450643657484461
10310311313020100
118a96931a445227
122a9784b2a55a84
131041c3010c2772
14568b20d379a60
1525d1d99231a6a
hex11a39fb9514c4

310311313020100 has 72 divisors (see below), whose sum is σ = 769976884450368. Its totient is φ = 106336483152000.

The previous prime is 310311313020077. The next prime is 310311313020161. The reversal of 310311313020100 is 1020313113013.

It is a super-2 number, since 2×3103113130201002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115266322 + ... + 117927721.

It is an arithmetic number, because the mean of its divisors is an integer number (10694123395144).

Almost surely, 2310311313020100 is an apocalyptic number.

It is an amenable number.

310311313020100 is an abundant number, since it is smaller than the sum of its proper divisors (459665571430268).

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

310311313020100 is a wasteful number, since it uses less digits than its factorization.

310311313020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233195965 (or 233195958 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 310311313020100 its reverse (1020313113013), we get a palindrome (311331626133113).

The spelling of 310311313020100 in words is "three hundred ten trillion, three hundred eleven billion, three hundred thirteen million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1901 3802 7604 9505 13307 19010 26614 38020 47525 53228 66535 95050 133070 190100 266140 332675 665350 1330700 233194043 466388086 932776172 1165970215 1632358301 2331940430 3264716602 4663880860 5829851075 6529433204 8161791505 11659702150 16323583010 23319404300 32647166020 40808957525 81617915050 163235830100 443301875743 886603751486 1773207502972 2216509378715 3103113130201 4433018757430 6206226260402 8866037514860 11082546893575 12412452520804 15515565651005 22165093787150 31031131302010 44330187574300 62062262604020 77577828255025 155155656510050 310311313020100