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20121143240 = 23511210141161
BaseRepresentation
bin10010101111010100…
…000100011111001000
31220221021110222112102
4102233110010133020
5312202003040430
613124333532532
71311422616122
oct225724043710
956837428472
1020121143240
118595951800
123a96644148
131b88812023
14d8c41c212
157cb6ea345
hex4af5047c8

20121143240 has 96 divisors (see below), whose sum is σ = 50256332280. Its totient is φ = 7244160000.

The previous prime is 20121143239. The next prime is 20121143243. The reversal of 20121143240 is 4234112102.

It can be written as a sum of positive squares in 4 ways, for example, as 20054524996 + 66618244 = 141614^2 + 8162^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20121143243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468260 + ... + 509420.

Almost surely, 220121143240 is an apocalyptic number.

20121143240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121143240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25128166140).

20121143240 is an abundant number, since it is smaller than the sum of its proper divisors (30135189040).

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

20121143240 is a wasteful number, since it uses less digits than its factorization.

20121143240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41295 (or 41280 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20121143240 its reverse (4234112102), we get a palindrome (24355255342).

It can be divided in two parts, 20121 and 143240, that added together give a palindrome (163361).

The spelling of 20121143240 in words is "twenty billion, one hundred twenty-one million, one hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 121 202 220 242 404 440 484 505 605 808 968 1010 1111 1210 2020 2222 2420 4040 4444 4840 5555 8888 11110 12221 22220 24442 41161 44440 48884 61105 82322 97768 122210 164644 205805 244420 329288 411610 452771 488840 823220 905542 1646440 1811084 2263855 3622168 4157261 4527710 4980481 8314522 9055420 9960962 16629044 18110840 19921924 20786305 24902405 33258088 39843848 41572610 45729871 49804810 83145220 91459742 99609620 166290440 182919484 199219240 228649355 365838968 457298710 503028581 914597420 1006057162 1829194840 2012114324 2515142905 4024228648 5030285810 10060571620 20121143240