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21123401454 = 235371995903
BaseRepresentation
bin10011101011000011…
…011000011011101110
32000112010101222100000
4103223003120123232
5321230042321304
613412015445130
71345312643541
oct235303303356
960463358300
1021123401454
118a5a678181
1241162267a6
131cb836001c
141045596858
158396c5939
hex4eb0d86ee

21123401454 has 96 divisors (see below), whose sum is σ = 48998476800. Its totient is φ = 6815251872.

The previous prime is 21123401423. The next prime is 21123401461. The reversal of 21123401454 is 45410432112.

21123401454 is a `hidden beast` number, since 211 + 2 + 3 + 401 + 45 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 3575467 + ... + 3581369.

It is an arithmetic number, because the mean of its divisors is an integer number (510400800).

Almost surely, 221123401454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21123401454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24499238400).

21123401454 is an abundant number, since it is smaller than the sum of its proper divisors (27875075346).

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

21123401454 is a wasteful number, since it uses less digits than its factorization.

21123401454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6156 (or 6144 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 21123401454 its reverse (45410432112), we get a palindrome (66533833566).

The spelling of 21123401454 in words is "twenty-one billion, one hundred twenty-three million, four hundred one thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 199 222 243 333 398 486 597 666 999 1194 1791 1998 2997 3582 5373 5903 5994 7363 8991 10746 11806 14726 16119 17709 17982 22089 32238 35418 44178 48357 53127 66267 96714 106254 132534 159381 198801 218411 318762 397602 436822 478143 596403 655233 956286 1174697 1192806 1310466 1434429 1789209 1965699 2349394 2868858 3524091 3578418 3931398 5897097 7048182 10572273 11794194 17691291 21144546 31716819 35382582 43463789 53073873 63433638 86927578 95150457 106147746 130391367 190300914 260782734 285451371 391174101 570902742 782348202 1173522303 2347044606 3520566909 7041133818 10561700727 21123401454