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21123144132112 = 24119710112250471
BaseRepresentation
bin1001100110110000111011…
…00000001010011000010000
32202210100112020022000001201
410303120131200022120100
510232040144344211422
6112531501034440544
74310045126436151
oct463303540123020
982710466260051
1021123144132112
116804303202040
122451982293154
13ba2b99c74229
14530519411928
152696dc617727
hex13361d80a610

21123144132112 has 80 divisors (see below), whose sum is σ = 45553527137664. Its totient is φ = 9408360960000.

The previous prime is 21123144132073. The next prime is 21123144132113.

21123144132112 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (21123144132113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4400964 + ... + 7849507.

Almost surely, 221123144132112 is an apocalyptic number.

21123144132112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21123144132112 is an abundant number, since it is smaller than the sum of its proper divisors (24430383005552).

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

21123144132112 is a wasteful number, since it uses less digits than its factorization.

21123144132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12250688 (or 12250682 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 2112314 and 4132112, that added together give a palindrome (6244426).

The spelling of 21123144132112 in words is "twenty-one trillion, one hundred twenty-three billion, one hundred forty-four million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 97 101 176 194 202 388 404 776 808 1067 1111 1552 1616 2134 2222 4268 4444 8536 8888 9797 17072 17776 19594 39188 78376 107767 156752 215534 431068 862136 1724272 12250471 24500942 49001884 98003768 134755181 196007536 269510362 539020724 1078041448 1188295687 1237297571 2156082896 2376591374 2474595142 4753182748 4949190284 9506365496 9898380568 13071252557 13610273281 19012730992 19796761136 26142505114 27220546562 52285010228 54441093124 104570020456 108882186248 120017864387 209140040912 217764372496 240035728774 480071457548 960142915096 1320196508257 1920285830192 2640393016514 5280786033028 10561572066056 21123144132112