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312423011111420 = 2251126327671951441
BaseRepresentation
bin100011100001001011010011…
…0100110001101000111111100
31111222012100101211001122020022
41013002112212212031013330
5311422214311321031140
63024245052214311312
7122543550314562026
oct10702264646150774
91458170354048208
10312423011111420
1190602944a15280
122b05980a358538
13105434958b25a1
1457214d6759016
15261bc8d4300b5
hex11c25a698d1fc

312423011111420 has 96 divisors (see below), whose sum is σ = 718714152769536. Its totient is φ = 113135436518400.

The previous prime is 312423011111389. The next prime is 312423011111479. The reversal of 312423011111420 is 24111110324213.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 312423011111420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159122900 + ... + 161074340.

It is an arithmetic number, because the mean of its divisors is an integer number (7486605758016).

Almost surely, 2312423011111420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312423011111420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359357076384768).

312423011111420 is an abundant number, since it is smaller than the sum of its proper divisors (406291141658116).

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

312423011111420 is a wasteful number, since it uses less digits than its factorization.

312423011111420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954491 (or 1954489 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 312423011111420 its reverse (24111110324213), we get a palindrome (336534121435633).

The spelling of 312423011111420 in words is "three hundred twelve trillion, four hundred twenty-three billion, eleven million, one hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 263 526 1052 1315 2630 2767 2893 5260 5534 5786 11068 11572 13835 14465 27670 28930 30437 55340 57860 60874 121748 152185 304370 608740 727721 1455442 1951441 2910884 3638605 3902882 7277210 7805764 8004931 9757205 14554420 16009862 19514410 21465851 32019724 39028820 40024655 42931702 80049310 85863404 107329255 160098620 214658510 429317020 513228983 1026457966 2052915932 2566144915 5132289830 5399637247 5645518813 10264579660 10799274494 11291037626 21598548988 22582075252 26998186235 28227594065 53996372470 56455188130 59396009717 107992744940 112910376260 118792019434 237584038868 296980048585 593960097170 1187920194340 1420104595961 2840209191922 5680418383844 7100522979805 14201045959610 15621150555571 28402091919220 31242301111142 62484602222284 78105752777855 156211505555710 312423011111420