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312210200113 = 72175915834013
BaseRepresentation
bin1001000101100010010…
…11011001011000110001
31002211212110120110102221
410202301023121120301
520103401302400423
6355232152041041
731361600625400
oct4426113313061
91084773513387
10312210200113
11110453578379
1250612693181
13235976ac3a6
141117aa39637
1581c4600e5d
hex48b12d9631

312210200113 has 48 divisors (see below), whose sum is σ = 391409314560. Its totient is φ = 247380048384.

The previous prime is 312210200083. The next prime is 312210200117. The reversal of 312210200113 is 311002012213.

It is not a de Polignac number, because 312210200113 - 213 = 312210191921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312210200117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77797695 + ... + 77801707.

It is an arithmetic number, because the mean of its divisors is an integer number (8154360720).

Almost surely, 2312210200113 is an apocalyptic number.

It is an amenable number.

312210200113 is a deficient number, since it is larger than the sum of its proper divisors (79199114447).

312210200113 is a wasteful number, since it uses less digits than its factorization.

312210200113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 312210200113 its reverse (311002012213), we get a palindrome (623212212326).

The spelling of 312210200113 in words is "three hundred twelve billion, two hundred ten million, two hundred thousand, one hundred thirteen".

Divisors: 1 7 17 49 59 119 413 833 1003 1583 2891 4013 7021 11081 26911 28091 49147 68221 77567 93397 188377 196637 236767 477547 653779 1318639 1587749 1657369 3342829 4025039 4576453 6352579 11114243 11601583 28175273 44468053 77799701 107993843 197226911 311276371 374802161 755956901 2623615127 5291698307 6371636737 18365305889 44601457159 312210200113