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312332113230 = 235293737011373
BaseRepresentation
bin1001000101110000111…
…00011101010101001110
31002212011221222021210120
410202320130131111032
520104124010110410
6355252225045410
731364611105254
oct4427034352516
91085157867716
10312332113230
11110506376515
1250647486866
13235b6a26027
141118ccd25d4
1581d0183570
hex48b871d54e

312332113230 has 128 divisors (see below), whose sum is σ = 779200456320. Its totient is φ = 80028211200.

The previous prime is 312332113207. The next prime is 312332113253. The reversal of 312332113230 is 32311233213.

It is an interprime number because it is at equal distance from previous prime (312332113207) and next prime (312332113253).

It is a self number, because there is not a number n which added to its sum of digits gives 312332113230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227480824 + ... + 227482196.

It is an arithmetic number, because the mean of its divisors is an integer number (6087503565).

Almost surely, 2312332113230 is an apocalyptic number.

312332113230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312332113230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389600228160).

312332113230 is an abundant number, since it is smaller than the sum of its proper divisors (466868343090).

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

312332113230 is a wasteful number, since it uses less digits than its factorization.

312332113230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 312332113230 its reverse (32311233213), we get a palindrome (344643346443).

The spelling of 312332113230 in words is "three hundred twelve billion, three hundred thirty-two million, one hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 373 435 701 746 870 1119 1373 1402 1865 2103 2238 2746 3505 3730 4119 4206 5595 6865 7010 8238 10515 10817 11190 13730 20329 20595 21030 21634 32451 39817 40658 41190 54085 60987 64902 79634 101645 108170 119451 121974 162255 199085 203290 238902 261473 304935 324510 398170 512129 522946 597255 609870 784419 962473 1024258 1194510 1307365 1536387 1568838 1924946 2560645 2614730 2887419 3072774 3922095 4812365 5121290 5774838 7582717 7681935 7844190 9624730 14437095 14851741 15165434 15363870 22748151 27911717 28874190 29703482 37913585 44555223 45496302 55823434 74258705 75827170 83735151 89110446 113740755 139558585 148517410 167470302 222776115 227481510 279117170 359002429 418675755 445552230 718004858 837351510 1077007287 1795012145 2154014574 3590024290 5385036435 10411070441 10770072870 20822140882 31233211323 52055352205 62466422646 104110704410 156166056615 312332113230