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312424214012310 = 23531641524087387
BaseRepresentation
bin100011100001001011110111…
…0010010111010000110010110
31111222012110111122112100001010
41013002113232102322012112
5311422224242241343220
63024245411424513050
7122543622162221511
oct10702275622720626
91458173448470033
10312424214012310
1190603401a22544
122b059aa517b786
1310543627b8126a
1457215ac401d78
15261bd0dd401e0
hex11c25ee4ba196

312424214012310 has 64 divisors (see below), whose sum is σ = 775213293533184. Its totient is φ = 80499822489600.

The previous prime is 312424214012243. The next prime is 312424214012329. The reversal of 312424214012310 is 13210412424213.

It is a happy number.

It is a super-2 number, since 2×3124242140123102 (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 31 ways as a sum of consecutive naturals, for example, 261447564 + ... + 262639823.

It is an arithmetic number, because the mean of its divisors is an integer number (12112707711456).

Almost surely, 2312424214012310 is an apocalyptic number.

312424214012310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312424214012310 is an abundant number, since it is smaller than the sum of its proper divisors (462789079520874).

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

312424214012310 is a wasteful number, since it uses less digits than its factorization.

312424214012310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524088069.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 312424214012310 its reverse (13210412424213), we get a palindrome (325634626436523).

The spelling of 312424214012310 in words is "three hundred twelve trillion, four hundred twenty-four billion, two hundred fourteen million, twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 641 930 1282 1923 3205 3846 6410 9615 19230 19871 39742 59613 99355 119226 198710 298065 596130 524087387 1048174774 1572262161 2620436935 3144524322 5240873870 7861310805 15722621610 16246708997 32493417994 48740126991 81233544985 97480253982 162467089970 243700634955 335940015067 487401269910 671880030134 1007820045201 1679700075335 2015640090402 3359400150670 5039100226005 10078200452010 10414140467077 20828280934154 31242421401231 52070702335385 62484842802462 104141404670770 156212107006155 312424214012310