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202412124420 = 223511306685037
BaseRepresentation
bin1011110010000010110…
…0111110100100000100
3201100110110010022010220
42330200230332210010
511304020000440140
6232553054144340
720423650445502
oct2744054764404
9640413108126
10202412124420
117892a404a60
123328b4b20b0
1316119c9162c
149b225b9672
1553ea0e2bd0
hex2f20b3e904

202412124420 has 48 divisors (see below), whose sum is σ = 618277036608. Its totient is φ = 49069605760.

The previous prime is 202412124419. The next prime is 202412124443. The reversal of 202412124420 is 24421214202.

It is a happy number.

It is a super-2 number, since 2×2024121244202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153341859 + ... + 153343178.

It is an arithmetic number, because the mean of its divisors is an integer number (12880771596).

Almost surely, 2202412124420 is an apocalyptic number.

202412124420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202412124420 is an abundant number, since it is smaller than the sum of its proper divisors (415864912188).

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

202412124420 is a wasteful number, since it uses less digits than its factorization.

202412124420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306685060 (or 306685058 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 202412124420 its reverse (24421214202), we get a palindrome (226833338622).

The spelling of 202412124420 in words is "two hundred two billion, four hundred twelve million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 306685037 613370074 920055111 1226740148 1533425185 1840110222 3066850370 3373535407 3680220444 4600275555 6133700740 6747070814 9200551110 10120606221 13494141628 16867677035 18401102220 20241212442 33735354070 40482424884 50603031105 67470708140 101206062210 202412124420