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413324210112 = 263111011937651
BaseRepresentation
bin1100000001111000000…
…10101110111111000000
31110111212021102101010020
412000330002232333000
523232441444210422
6513513432133440
741601362550432
oct6007402567700
91414767371106
10413324210112
1114a3208176a0
1268131537280
132cc8cc36638
141600da04652
15ab4153c95c
hex603c0aefc0

413324210112 has 112 divisors (see below), whose sum is σ = 1204816512384. Its totient is φ = 124009600000.

The previous prime is 413324210111. The next prime is 413324210207. The reversal of 413324210112 is 211012423314.

413324210112 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413324210111) 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 15 ways as a sum of consecutive naturals, for example, 755514 + ... + 1182137.

Almost surely, 2413324210112 is an apocalyptic number.

It is an amenable number.

413324210112 is an abundant number, since it is smaller than the sum of its proper divisors (791492302272).

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

413324210112 is a wasteful number, since it uses less digits than its factorization.

413324210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937778 (or 1937768 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 413324210112 its reverse (211012423314), we get a palindrome (624336633426).

The spelling of 413324210112 in words is "four hundred thirteen billion, three hundred twenty-four million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 101 132 176 192 202 264 303 352 404 528 606 704 808 1056 1111 1212 1616 2112 2222 2424 3232 3333 4444 4848 6464 6666 8888 9696 13332 17776 19392 26664 35552 53328 71104 106656 213312 1937651 3875302 5812953 7750604 11625906 15501208 21314161 23251812 31002416 42628322 46503624 62004832 63942483 85256644 93007248 124009664 127884966 170513288 186014496 195702751 255769932 341026576 372028992 391405502 511539864 587108253 682053152 782811004 1023079728 1174216506 1364106304 1565622008 2046159456 2152730261 2348433012 3131244016 4092318912 4305460522 4696866024 6262488032 6458190783 8610921044 9393732048 12524976064 12916381566 17221842088 18787464096 25832763132 34443684176 37574928192 51665526264 68887368352 103331052528 137774736704 206662105056 413324210112