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42132000030 = 2353673826703
BaseRepresentation
bin100111001111010000…
…110100110100011110
311000202020210100201120
4213033100310310132
51142241243000110
631204414551410
73021033043221
oct471720646436
9130666710646
1042132000030
111696046323a
1281b9b08566
133c85995843
1420797c75b8
151168c70870
hex9cf434d1e

42132000030 has 32 divisors (see below), whose sum is σ = 101392349184. Its totient is φ = 11204583456.

The previous prime is 42131999981. The next prime is 42132000089. The reversal of 42132000030 is 3000023124.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 42131999973 and 42132000009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1902342 + ... + 1924361.

It is an arithmetic number, because the mean of its divisors is an integer number (3168510912).

Almost surely, 242132000030 is an apocalyptic number.

42132000030 is an abundant number, since it is smaller than the sum of its proper divisors (59260349154).

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

42132000030 is a wasteful number, since it uses less digits than its factorization.

42132000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827080.

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 42132000030 its reverse (3000023124), we get a palindrome (45132023154).

The spelling of 42132000030 in words is "forty-two billion, one hundred thirty-two million, thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 367 734 1101 1835 2202 3670 5505 11010 3826703 7653406 11480109 19133515 22960218 38267030 57400545 114801090 1404400001 2808800002 4213200003 7022000005 8426400006 14044000010 21066000015 42132000030