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2013401324232 = 23349137340057
BaseRepresentation
bin11101010011001000000…
…100100001101011001000
321010110221101210122210000
4131103020010201223020
5230441421214333412
64140535505523000
7265314650611134
oct35231004415310
97113841718700
102013401324232
11706973616061
12286264043460
13117b2ab1c31c
146d6406463c4
153758e7a54dc
hex1d4c8121ac8

2013401324232 has 80 divisors (see below), whose sum is σ = 5640021757260. Its totient is φ = 671058349056.

The previous prime is 2013401324171. The next prime is 2013401324237. The reversal of 2013401324232 is 2324231043102.

2013401324232 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 401 + 3 + 24 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1991333033316 + 22068290916 = 1411146^2 + 148554^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2013401324196 and 2013401324205.

It is not an unprimeable number, because it can be changed into a prime (2013401324237) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5750748 + ... + 6090804.

Almost surely, 22013401324232 is an apocalyptic number.

It is an amenable number.

2013401324232 is an abundant number, since it is smaller than the sum of its proper divisors (3626620433028).

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

2013401324232 is a wasteful number, since it uses less digits than its factorization.

2013401324232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349212 (or 349199 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2013401324232 its reverse (2324231043102), we get a palindrome (4337632367334).

The spelling of 2013401324232 in words is "two trillion, thirteen billion, four hundred one million, three hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 9137 18274 27411 36548 54822 73096 82233 109644 164466 219288 246699 328932 340057 493398 657864 680114 740097 986796 1020171 1360228 1480194 1973592 2040342 2720456 2960388 3060513 4080684 5920776 6121026 8161368 9181539 12242052 18363078 24484104 27544617 36726156 55089234 73452312 110178468 220356936 3107100809 6214201618 9321302427 12428403236 18642604854 24856806472 27963907281 37285209708 55927814562 74570419416 83891721843 111855629124 167783443686 223711258248 251675165529 335566887372 503350331058 671133774744 1006700662116 2013401324232