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20331104400312 = 2332983351944059
BaseRepresentation
bin1001001111101101101000…
…10000010111001110111000
32122222122010121210210012020
410213312310100113032320
510131101100211302222
6111123551434314440
74165605502004136
oct447666420271670
978878117723166
1020331104400312
1165294114486a2
122344379888a20
13b462a4239234
14504060370756
15253cd30c365c
hex127db44173b8

20331104400312 has 64 divisors (see below), whose sum is σ = 53213941872000. Its totient is φ = 6464508457344.

The previous prime is 20331104400301. The next prime is 20331104400317. The reversal of 20331104400312 is 21300440113302.

It is a happy number.

It is a super-2 number, since 2×203311044003122 (a number of 27 digits) contains 22 as substring.

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 (20331104400317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175914262 + ... + 176029797.

It is an arithmetic number, because the mean of its divisors is an integer number (831467841750).

Almost surely, 220331104400312 is an apocalyptic number.

It is an amenable number.

20331104400312 is an abundant number, since it is smaller than the sum of its proper divisors (32882837471688).

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

20331104400312 is a wasteful number, since it uses less digits than its factorization.

20331104400312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351944180 (or 351944176 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20331104400312 its reverse (21300440113302), we get a palindrome (41631544513614).

The spelling of 20331104400312 in words is "twenty trillion, three hundred thirty-one billion, one hundred four million, four hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 83 87 116 166 174 232 249 332 348 498 664 696 996 1992 2407 4814 7221 9628 14442 19256 28884 57768 351944059 703888118 1055832177 1407776236 2111664354 2815552472 4223328708 8446657416 10206377711 20412755422 29211356897 30619133133 40825510844 58422713794 61238266266 81651021688 87634070691 116845427588 122476532532 175268141382 233690855176 244953065064 350536282764 701072565528 847129350013 1694258700026 2541388050039 3388517400052 5082776100078 6777034800104 10165552200156 20331104400312