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312424014101300 = 22523124240141013
BaseRepresentation
bin100011100001001011110001…
…0011000010011101100110100
31111222012102222201100210200122
41013002113202120103230310
5311422223340102220200
63024245335524031112
7122543614214054543
oct10702274230235464
91458172881323618
10312424014101300
119060330a0a0432
122b059a4a232498
13105435c562861a
14572158da4415a
15261bceb502385
hex11c25e2613b34

312424014101300 has 18 divisors (see below), whose sum is σ = 677960110600038. Its totient is φ = 124969605640480.

The previous prime is 312424014101281. The next prime is 312424014101317. The reversal of 312424014101300 is 3101410424213.

It can be written as a sum of positive squares in 3 ways, for example, as 942037183396 + 311481976917904 = 970586^2 + 17648852^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 312424014101300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1562120070407 + ... + 1562120070606.

It is an arithmetic number, because the mean of its divisors is an integer number (37664450588891).

Almost surely, 2312424014101300 is an apocalyptic number.

It is an amenable number.

312424014101300 is an abundant number, since it is smaller than the sum of its proper divisors (365536096498738).

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

312424014101300 is a wasteful number, since it uses less digits than its factorization.

312424014101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124240141027 (or 3124240141020 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 312424014101300 its reverse (3101410424213), we get a palindrome (315525424525513).

The spelling of 312424014101300 in words is "three hundred twelve trillion, four hundred twenty-four billion, fourteen million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3124240141013 6248480282026 12496960564052 15621200705065 31242401410130 62484802820260 78106003525325 156212007050650 312424014101300