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312340220432220 = 223521001812478677
BaseRepresentation
bin100011100000100100101111…
…1111000110100111101011100
31111221220102200222210101001110
41013001021133320310331130
5311414340232412312340
63024143041050542020
7122534556555452331
oct10701113770647534
91457812628711043
10312340220432220
119058081a817652
122b045763a37910
1310538730564c06
14571b4c1104988
152619a44e68680
hex11c125fe34f5c

312340220432220 has 48 divisors (see below), whose sum is σ = 874553386458528. Its totient is φ = 83290652186880.

The previous prime is 312340220432197. The next prime is 312340220432263. The reversal of 312340220432220 is 22234022043213.

It is a super-2 number, since 2×3123402204322202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124771522 + ... + 127250198.

It is an arithmetic number, because the mean of its divisors is an integer number (18219862217886).

Almost surely, 2312340220432220 is an apocalyptic number.

312340220432220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312340220432220 is an abundant number, since it is smaller than the sum of its proper divisors (562213166026308).

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

312340220432220 is a wasteful number, since it uses less digits than its factorization.

312340220432220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4578870 (or 4578868 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 312340220432220 its reverse (22234022043213), we get a palindrome (334574242475433).

The spelling of 312340220432220 in words is "three hundred twelve trillion, three hundred forty billion, two hundred twenty million, four hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2100181 2478677 4200362 4957354 6300543 7436031 8400724 9914708 10500905 12393385 12601086 14872062 21001810 24786770 25202172 29744124 31502715 37180155 42003620 49573540 63005430 74360310 126010860 148720620 5205670340537 10411340681074 15617011021611 20822681362148 26028351702685 31234022043222 52056703405370 62468044086444 78085055108055 104113406810740 156170110216110 312340220432220