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2130124024 = 237234338461
BaseRepresentation
bin111111011110111…
…0001110011111000
312111110012111211101
41332331301303320
513330302432044
6551211541144
7103533520060
oct17675616370
95443174741
102130124024
119a3443786
124b545a7b4
1327c407422
14162c8c3a0
15c7017cd4
hex7ef71cf8

2130124024 has 64 divisors (see below), whose sum is σ = 4873904640. Its totient is φ = 852888960.

The previous prime is 2130124019. The next prime is 2130124097. The reversal of 2130124024 is 4204210312.

It is a junction number, because it is equal to n+sod(n) for n = 2130123992 and 2130124010.

It is a congruent number.

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, 36154 + ... + 74614.

It is an arithmetic number, because the mean of its divisors is an integer number (76154760).

Almost surely, 22130124024 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 2130124024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436952320).

2130124024 is an abundant number, since it is smaller than the sum of its proper divisors (2743780616).

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

2130124024 is a wasteful number, since it uses less digits than its factorization.

2130124024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38540 (or 38536 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2130124024 is about 46153.2666666185. The cubic root of 2130124024 is about 1286.6733233956.

Adding to 2130124024 its reverse (4204210312), we get a palindrome (6334334336).

The spelling of 2130124024 in words is "two billion, one hundred thirty million, one hundred twenty-four thousand, twenty-four".

Divisors: 1 2 4 7 8 14 23 28 43 46 56 86 92 161 172 184 301 322 344 602 644 989 1204 1288 1978 2408 3956 6923 7912 13846 27692 38461 55384 76922 153844 269227 307688 538454 884603 1076908 1653823 1769206 2153816 3307646 3538412 6192221 6615292 7076824 11576761 12384442 13230584 23153522 24768884 38037929 46307044 49537768 76075858 92614088 152151716 266265503 304303432 532531006 1065062012 2130124024