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20413200231402 = 2311798933438271
BaseRepresentation
bin1001010010000110100011…
…00011000110101111101010
32200021111001000121002221220
410221003101203012233222
510133422213224401102
6111225410021042510
74204543063030356
oct451032143065752
980244030532856
1020413200231402
11656020a3a5690
12235826b556436
13b50c5862c494
1450800b5cc466
15255eda5841bc
hex1290d18c6bea

20413200231402 has 64 divisors (see below), whose sum is σ = 45106813992960. Its totient is φ = 6106819118400.

The previous prime is 20413200231377. The next prime is 20413200231407.

It is a happy number.

20413200231402 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (20413200231407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46357527 + ... + 46795797.

It is an arithmetic number, because the mean of its divisors is an integer number (704793968640).

Almost surely, 220413200231402 is an apocalyptic number.

20413200231402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20413200231402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22553406996480).

20413200231402 is an abundant number, since it is smaller than the sum of its proper divisors (24693613761558).

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

20413200231402 is a wasteful number, since it uses less digits than its factorization.

20413200231402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447299.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 20413200 and 231402, that added together give a palindrome (20644602).

The spelling of 20413200231402 in words is "twenty trillion, four hundred thirteen billion, two hundred million, two hundred thirty-one thousand, four hundred two".

Divisors: 1 2 3 6 11 22 33 66 79 158 237 474 869 1738 2607 5214 8933 17866 26799 53598 98263 196526 294789 438271 589578 705707 876542 1314813 1411414 2117121 2629626 4234242 4820981 7762777 9641962 14462943 15525554 23288331 28925886 34623409 46576662 69246818 103870227 207740454 380857499 761714998 1142572497 2285144994 3915074843 7830149686 11745224529 23490449058 43065823273 86131646546 129197469819 258394939638 309290912597 618581825194 927872737791 1855745475582 3402200038567 6804400077134 10206600115701 20413200231402