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20122410144 = 253892355151
BaseRepresentation
bin10010101111011000…
…111001110010100000
31220221100212100101210
4102233120321302200
5312202314111034
613124421030120
71311436443534
oct225730716240
956840770353
1020122410144
118596637631
123a96b55340
131b88b66885
14d8c66bbc4
157cb89a8e9
hex4af639ca0

20122410144 has 48 divisors (see below), whose sum is σ = 53414847360. Its totient is φ = 6632102400.

The previous prime is 20122410097. The next prime is 20122410167. The reversal of 20122410144 is 44101422102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×201224101442 (a number of 21 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 20122410144.

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 7 ways as a sum of consecutive naturals, for example, 1169032 + ... + 1186119.

It is an arithmetic number, because the mean of its divisors is an integer number (1112809320).

Almost surely, 220122410144 is an apocalyptic number.

20122410144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20122410144 is an abundant number, since it is smaller than the sum of its proper divisors (33292437216).

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

20122410144 is a wasteful number, since it uses less digits than its factorization.

20122410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355253 (or 2355245 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 20122410144 its reverse (44101422102), we get a palindrome (64223832246).

The spelling of 20122410144 in words is "twenty billion, one hundred twenty-two million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 8544 2355151 4710302 7065453 9420604 14130906 18841208 28261812 37682416 56523624 75364832 113047248 209608439 226094496 419216878 628825317 838433756 1257650634 1676867512 2515301268 3353735024 5030602536 6707470048 10061205072 20122410144