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21125242314 = 2331191938699
BaseRepresentation
bin10011101011001010…
…011001110111001010
32000112020212111112000
4103223022121313022
5321231030223224
613412123131430
71345334411511
oct235312316712
960466774460
1021125242314
118a60715250
124116973b76
131cb8855ba7
141045915678
1583993b0c9
hex4eb299dca

21125242314 has 64 divisors (see below), whose sum is σ = 51269760000. Its totient is φ = 6394457520.

The previous prime is 21125242273. The next prime is 21125242381. The reversal of 21125242314 is 41324252112.

21125242314 is a `hidden beast` number, since 2 + 112 + 524 + 23 + 1 + 4 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 526537 + ... + 565235.

It is an arithmetic number, because the mean of its divisors is an integer number (801090000).

Almost surely, 221125242314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21125242314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25634880000).

21125242314 is an abundant number, since it is smaller than the sum of its proper divisors (30144517686).

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

21125242314 is a wasteful number, since it uses less digits than its factorization.

21125242314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39640 (or 39634 counting only the distinct ones).

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

Adding to 21125242314 its reverse (41324252112), we get a palindrome (62449494426).

The spelling of 21125242314 in words is "twenty-one billion, one hundred twenty-five million, two hundred forty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 919 1838 2757 5514 8271 10109 16542 20218 24813 30327 38699 49626 60654 77398 90981 116097 181962 232194 272943 348291 425689 545886 696582 851378 1044873 1277067 2089746 2554134 3831201 7662402 11493603 22987206 35564381 71128762 106693143 213386286 320079429 391208191 640158858 782416382 960238287 1173624573 1920476574 2347249146 3520873719 7041747438 10562621157 21125242314