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2132212124 = 2272915791663
BaseRepresentation
bin111111100010110…
…1111100110011100
312111121010121011102
41333011233212130
513331321241444
6551324412232
7103560334610
oct17705574634
95447117142
102132212124
119a463a589
124b60a7078
1327c9889a3
14163273340
15c72cb84e
hex7f16f99c

2132212124 has 48 divisors (see below), whose sum is σ = 4416921600. Its totient is φ = 881205696.

The previous prime is 2132212109. The next prime is 2132212139. The reversal of 2132212124 is 4212122312.

It is an interprime number because it is at equal distance from previous prime (2132212109) and next prime (2132212139).

It is a junction number, because it is equal to n+sod(n) for n = 2132212096 and 2132212105.

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, 1281317 + ... + 1282979.

It is an arithmetic number, because the mean of its divisors is an integer number (92019200).

Almost surely, 22132212124 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 2132212124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208460800).

2132212124 is an abundant number, since it is smaller than the sum of its proper divisors (2284709476).

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

2132212124 is a wasteful number, since it uses less digits than its factorization.

2132212124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3280 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 2132212124 is about 46175.8824929205. The cubic root of 2132212124 is about 1287.0936158472.

Adding to 2132212124 its reverse (4212122312), we get a palindrome (6344334436).

The spelling of 2132212124 in words is "two billion, one hundred thirty-two million, two hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 1579 1663 3158 3326 6316 6652 11053 11641 22106 23282 44212 45791 46564 48227 91582 96454 183164 192908 320537 337589 641074 675178 1282148 1350356 2625877 5251754 10503508 18381139 36762278 73524556 76150433 152300866 304601732 533053031 1066106062 2132212124