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42120233000 = 235342120233
BaseRepresentation
bin100111001110100011…
…111100000000101000
311000201102122112101122
4213032203330000220
51142230234424000
631203314434412
73020531034056
oct471643740050
9130642575348
1042120233000
111695485651a
1281b5b92a08
133c834058c1
1420780031d6
151167be9085
hex9ce8fc028

42120233000 has 32 divisors (see below), whose sum is σ = 98561347560. Its totient is φ = 16848092800.

The previous prime is 42120232997. The next prime is 42120233027. The reversal of 42120233000 is 33202124.

It can be written as a sum of positive squares in 4 ways, for example, as 1999341796 + 40120891204 = 44714^2 + 200302^2 .

It is a super-2 number, since 2×421202330002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42120233000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21059117 + ... + 21061116.

Almost surely, 242120233000 is an apocalyptic number.

42120233000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42120233000 is an abundant number, since it is smaller than the sum of its proper divisors (56441114560).

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

42120233000 is a wasteful number, since it uses less digits than its factorization.

42120233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42120254 (or 42120240 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 42120233000 its reverse (33202124), we get a palindrome (42153435124).

The spelling of 42120233000 in words is "forty-two billion, one hundred twenty million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 42120233 84240466 168480932 210601165 336961864 421202330 842404660 1053005825 1684809320 2106011650 4212023300 5265029125 8424046600 10530058250 21060116500 42120233000