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312343300420410 = 235712097122951893
BaseRepresentation
bin100011100000100110001011…
…1011110000011001100111010
31111221220201122122022222120010
41013001030113132003030322
5311414413034401423120
63024144310433442350
7122535026105101620
oct10701142736031472
91457821578288503
10312343300420410
1190582060350336
122b0462834103b6
1310538b016a432c
14571b6d41ad510
152619b7555c7e0
hex11c131778333a

312343300420410 has 64 divisors (see below), whose sum is σ = 856783879840512. Its totient is φ = 71386852110336.

The previous prime is 312343300420391. The next prime is 312343300420451. The reversal of 312343300420410 is 14024003343213.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58935577 + ... + 64016316.

It is an arithmetic number, because the mean of its divisors is an integer number (13387248122508).

Almost surely, 2312343300420410 is an apocalyptic number.

312343300420410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312343300420410 is an abundant number, since it is smaller than the sum of its proper divisors (544440579420102).

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

312343300420410 is a wasteful number, since it uses less digits than its factorization.

312343300420410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122964007.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 312343300420410 its reverse (14024003343213), we get a palindrome (326367303763623).

The spelling of 312343300420410 in words is "three hundred twelve trillion, three hundred forty-three billion, three hundred million, four hundred twenty thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 12097 24194 36291 60485 72582 84679 120970 169358 181455 254037 362910 423395 508074 846790 1270185 2540370 122951893 245903786 368855679 614759465 737711358 860663251 1229518930 1721326502 1844278395 2581989753 3688556790 4303316255 5163979506 8606632510 12909948765 25819897530 1487349049621 2974698099242 4462047148863 7436745248105 8924094297726 10411443347347 14873490496210 20822886694694 22310235744315 31234330042041 44620471488630 52057216736735 62468660084082 104114433473470 156171650210205 312343300420410