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20123132220312 = 23311193394942931
BaseRepresentation
bin1001001001101010010000…
…01001011101001110011000
32122020202022200110101122220
410210311020021131032120
510114144133322022222
6110444234520544040
74144563655435632
oct444651011351630
978222280411586
1020123132220312
116459199590690
12230bbb8322020
13b2c7ac3978b4
144d7d71587a52
1524d6aecebb5c
hex124d4825d398

20123132220312 has 64 divisors (see below), whose sum is σ = 55165628741760. Its totient is φ = 6066323404800.

The previous prime is 20123132220283. The next prime is 20123132220329. The reversal of 20123132220312 is 21302223132102.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 197420514 + ... + 197522417.

It is an arithmetic number, because the mean of its divisors is an integer number (861962949090).

Almost surely, 220123132220312 is an apocalyptic number.

20123132220312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20123132220312 is an abundant number, since it is smaller than the sum of its proper divisors (35042496521448).

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

20123132220312 is a wasteful number, since it uses less digits than its factorization.

20123132220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394943144 (or 394943140 counting only the distinct ones).

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

Adding to 20123132220312 its reverse (21302223132102), we get a palindrome (41425355352414).

The spelling of 20123132220312 in words is "twenty trillion, one hundred twenty-three billion, one hundred thirty-two million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 193 264 386 579 772 1158 1544 2123 2316 4246 4632 6369 8492 12738 16984 25476 50952 394942931 789885862 1184828793 1579771724 2369657586 3159543448 4344372241 4739315172 8688744482 9478630344 13033116723 17377488964 26066233446 34754977928 52132466892 76223985683 104264933784 152447971366 228671957049 304895942732 457343914098 609791885464 838463842513 914687828196 1676927685026 1829375656392 2515391527539 3353855370052 5030783055078 6707710740104 10061566110156 20123132220312