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312221001420 = 2232517591729373
BaseRepresentation
bin1001000101100011101…
…00100110011011001100
31002211220012220020001100
410202301310212123030
520103412034021140
6355233215343100
731362061503156
oct4426164463314
91084805806040
10312221001420
11110459685579
1250616221a90
13235999c18b3
141117c24bad6
1581c5536530
hex48b1d266cc

312221001420 has 144 divisors (see below), whose sum is σ = 1019777260320. Its totient is φ = 77033146368.

The previous prime is 312221001397. The next prime is 312221001451. The reversal of 312221001420 is 24100122213.

It is a happy number.

312221001420 is a `hidden beast` number, since 31 + 2 + 2 + 210 + 0 + 1 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312221001393 and 312221001402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 684147 + ... + 1045226.

It is an arithmetic number, because the mean of its divisors is an integer number (7081786530).

Almost surely, 2312221001420 is an apocalyptic number.

312221001420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312221001420 is an abundant number, since it is smaller than the sum of its proper divisors (707556258900).

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

312221001420 is a wasteful number, since it uses less digits than its factorization.

312221001420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729464 (or 1729459 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 312221001420 its reverse (24100122213), we get a palindrome (336321123633).

The spelling of 312221001420 in words is "three hundred twelve billion, two hundred twenty-one million, one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 59 60 68 85 90 102 118 153 170 177 180 204 236 255 295 306 340 354 510 531 590 612 708 765 885 1003 1020 1062 1180 1530 1770 2006 2124 2655 3009 3060 3540 4012 5015 5310 6018 9027 10030 10620 12036 15045 18054 20060 30090 36108 45135 60180 90270 180540 1729373 3458746 5188119 6917492 8646865 10376238 15564357 17293730 20752476 25940595 29399341 31128714 34587460 51881190 58798682 62257428 77821785 88198023 102033007 103762380 117597364 146996705 155643570 176396046 204066014 264594069 293993410 306099021 311287140 352792092 408132028 440990115 510165035 529188138 587986820 612198042 881980230 918297063 1020330070 1058376276 1224396084 1322970345 1530495105 1734561119 1763960460 1836594126 2040660140 2645940690 3060990210 3469122238 3673188252 4591485315 5203683357 5291881380 6121980420 6938244476 8672805595 9182970630 10407366714 15611050071 17345611190 18365941260 20814733428 26018416785 31222100142 34691222380 52036833570 62444200284 78055250355 104073667140 156110500710 312221001420