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102213140424 = 23317821305143
BaseRepresentation
bin101111100110001100…
…0001011111111001000
3100202211102001112011120
41133030120023333020
53133313030443144
6114542302155240
710245636233643
oct1371430137710
9322742045146
10102213140424
113a39172027a
1217986b82b20
13983c1921a5
144d38d5ca5a
1529d369ee19
hex17cc60bfc8

102213140424 has 64 divisors (see below), whose sum is σ = 270894637440. Its totient is φ = 32027704320.

The previous prime is 102213140389. The next prime is 102213140453. The reversal of 102213140424 is 424041312201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102213140394 and 102213140403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182397 + ... + 487539.

It is an arithmetic number, because the mean of its divisors is an integer number (4232728710).

Almost surely, 2102213140424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102213140424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135447318720).

102213140424 is an abundant number, since it is smaller than the sum of its proper divisors (168681497016).

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

102213140424 is a wasteful number, since it uses less digits than its factorization.

102213140424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305990 (or 305986 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102213140424 its reverse (424041312201), we get a palindrome (526254452625).

The spelling of 102213140424 in words is "one hundred two billion, two hundred thirteen million, one hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 821 1642 2463 3284 4926 6568 9852 13957 19704 27914 41871 55828 83742 111656 167484 305143 334968 610286 915429 1220572 1830858 2441144 3661716 5187431 7323432 10374862 15562293 20749724 31124586 41499448 62249172 124498344 250522403 501044806 751567209 1002089612 1503134418 2004179224 3006268836 4258880851 6012537672 8517761702 12776642553 17035523404 25553285106 34071046808 51106570212 102213140424