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113402212002 = 2337937977001
BaseRepresentation
bin110100110011101001…
…1000110111010100010
3101211201012021020212000
41221213103012322202
53324221431241002
6124032442544430
711123132616612
oct1514723067242
9354635236760
10113402212002
1144103657372
1219b8a208116
13a9033187c1
1456bada8a42
152e3ab3a61c
hex1a674c6ea2

113402212002 has 64 divisors (see below), whose sum is σ = 255298521600. Its totient is φ = 37307088000.

The previous prime is 113402211997. The next prime is 113402212003. The reversal of 113402212002 is 200212204311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (113402212003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16194502 + ... + 16201502.

It is an arithmetic number, because the mean of its divisors is an integer number (3989039400).

Almost surely, 2113402212002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113402212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127649260800).

113402212002 is an abundant number, since it is smaller than the sum of its proper divisors (141896309598).

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

113402212002 is a wasteful number, since it uses less digits than its factorization.

113402212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10888 (or 10882 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 113402212002 its reverse (200212204311), we get a palindrome (313614416313).

The spelling of 113402212002 in words is "one hundred thirteen billion, four hundred two million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 474 711 1422 2133 3797 4266 7001 7594 11391 14002 21003 22782 34173 42006 63009 68346 102519 126018 189027 205038 299963 378054 553079 599926 899889 1106158 1659237 1799778 2699667 3318474 4977711 5399334 8099001 9955422 14933133 16198002 26582797 29866266 53165594 79748391 159496782 239245173 478490346 717735519 1435471038 2100040963 4200081926 6300122889 12600245778 18900368667 37800737334 56701106001 113402212002