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214220324130 = 235371861103703
BaseRepresentation
bin1100011110000010000…
…1101011110100100010
3202110221101022222221220
43013200201223310202
512002210400333010
6242224512555510
721322402465641
oct3074041536442
9673841288856
10214220324130
118293987419a
1235625b52b96
131727c480157
14a52294b358
15588bac8970
hex31e086bd22

214220324130 has 64 divisors (see below), whose sum is σ = 528312976128. Its totient is φ = 55551087360.

The previous prime is 214220324099. The next prime is 214220324183. The reversal of 214220324130 is 31423022412.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 214220324130.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2013859 + ... + 2117561.

It is an arithmetic number, because the mean of its divisors is an integer number (8254890252).

Almost surely, 2214220324130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214220324130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264156488064).

214220324130 is an abundant number, since it is smaller than the sum of its proper divisors (314092651998).

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

214220324130 is a wasteful number, since it uses less digits than its factorization.

214220324130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105611.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 214220324130 its reverse (31423022412), we get a palindrome (245643346542).

The spelling of 214220324130 in words is "two hundred fourteen billion, two hundred twenty million, three hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 1861 3722 5583 9305 11166 18610 27915 55830 68857 103703 137714 206571 207406 311109 344285 413142 518515 622218 688570 1032855 1037030 1555545 2065710 3111090 3837011 7674022 11511033 19185055 23022066 38370110 57555165 115110330 192991283 385982566 578973849 964956415 1157947698 1929912830 2894869245 5789738490 7140677471 14281354942 21422032413 35703387355 42844064826 71406774710 107110162065 214220324130