Search a number
-
+
21423120102 = 23237474391559
BaseRepresentation
bin10011111100111010…
…101101111011100110
32001022000101021000200
4103330322231323212
5322333304320402
613501443451330
71355612342046
oct237472557346
961260337020
1021423120102
1190a387a23a
12419a686b46
13203548ca37
1410732d5726
15855b7b21c
hex4fceadee6

21423120102 has 96 divisors (see below), whose sum is σ = 48827750400. Its totient is φ = 6780366144.

The previous prime is 21423120097. The next prime is 21423120107. The reversal of 21423120102 is 20102132412.

It is a happy number.

21423120102 is a `hidden beast` number, since 21 + 423 + 120 + 102 = 666.

It is an interprime number because it is at equal distance from previous prime (21423120097) and next prime (21423120107).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21423120107) 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 47 ways as a sum of consecutive naturals, for example, 13740799 + ... + 13742357.

It is an arithmetic number, because the mean of its divisors is an integer number (508622400).

Almost surely, 221423120102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21423120102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24413875200).

21423120102 is an abundant number, since it is smaller than the sum of its proper divisors (27404630298).

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

21423120102 is a wasteful number, since it uses less digits than its factorization.

21423120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21423120102 its reverse (20102132412), we get a palindrome (41525252514).

The spelling of 21423120102 in words is "twenty-one billion, four hundred twenty-three million, one hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 37 47 74 94 111 141 222 282 333 423 439 666 846 878 1317 1559 1739 2634 3118 3478 3951 4677 5217 7902 9354 10434 14031 15651 16243 20633 28062 31302 32486 41266 48729 57683 61899 73273 97458 115366 123798 146187 146546 173049 185697 219819 292374 346098 371394 439638 519147 659457 684401 763421 1038294 1318914 1368802 1526842 2053203 2290263 2711101 4106406 4580526 5422202 6159609 6870789 8133303 12319218 13741578 16266606 24399909 25322837 32166847 48799818 50645674 64333694 75968511 96500541 151937022 193001082 227905533 289501623 455811066 579003246 1190173339 2380346678 3570520017 7141040034 10711560051 21423120102