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20122401144 = 2338310101607
BaseRepresentation
bin10010101111011000…
…110111100101111000
31220221100211220001110
4102233120313211320
5312202313314034
613124420520320
71311436405356
oct225730674570
956840756043
1020122401144
11859663089a
123a96b500a0
131b88b62751
14d8c6687d6
157cb897de9
hex4af637978

20122401144 has 32 divisors (see below), whose sum is σ = 50912104320. Its totient is φ = 6626653536.

The previous prime is 20122401127. The next prime is 20122401149. The reversal of 20122401144 is 44110422102.

It is a super-2 number, since 2×201224011442 (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 20122401144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122401149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5048812 + ... + 5052795.

It is an arithmetic number, because the mean of its divisors is an integer number (1591003260).

Almost surely, 220122401144 is an apocalyptic number.

20122401144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20122401144 is an abundant number, since it is smaller than the sum of its proper divisors (30789703176).

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

20122401144 is a wasteful number, since it uses less digits than its factorization.

20122401144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10101699 (or 10101695 counting only the distinct ones).

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

Adding to 20122401144 its reverse (44110422102), we get a palindrome (64232823246).

The spelling of 20122401144 in words is "twenty billion, one hundred twenty-two million, four hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1992 10101607 20203214 30304821 40406428 60609642 80812856 121219284 242438568 838433381 1676866762 2515300143 3353733524 5030600286 6707467048 10061200572 20122401144