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420120430212 = 223726339189887
BaseRepresentation
bin1100001110100010010…
…00010000011010000100
31111011101220201010102210
412013101020100122010
523340401312231322
6521000050503420
742231655510260
oct6072110203204
91434356633383
10420120430212
1115219903741a
1269509594b70
1330803c60952
14164964770a0
15addd00270c
hex61d1210684

420120430212 has 48 divisors (see below), whose sum is σ = 1120369582080. Its totient is φ = 120029219232.

The previous prime is 420120430193. The next prime is 420120430217. The reversal of 420120430212 is 212034021024.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (420120430217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2117533 + ... + 2307419.

It is an arithmetic number, because the mean of its divisors is an integer number (23341032960).

Almost surely, 2420120430212 is an apocalyptic number.

420120430212 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

420120430212 is an abundant number, since it is smaller than the sum of its proper divisors (700249151868).

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

420120430212 is a wasteful number, since it uses less digits than its factorization.

420120430212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216240 (or 216238 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 420120430212 its reverse (212034021024), we get a palindrome (632154451236).

The spelling of 420120430212 in words is "four hundred twenty billion, one hundred twenty million, four hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 26339 52678 79017 105356 158034 184373 189887 316068 368746 379774 553119 569661 737492 759548 1106238 1139322 1329209 2212476 2278644 2658418 3987627 5316836 7975254 15950508 5001433693 10002867386 15004301079 20005734772 30008602158 35010035851 60017204316 70020071702 105030107553 140040143404 210060215106 420120430212