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20121314240 = 265173698771
BaseRepresentation
bin10010101111010100…
…101110001111000000
31220221021210200002202
4102233110232033000
5312202024023430
613124341332332
71311424230506
oct225724561700
956837720082
1020121314240
118595a59225
123a967070a8
131b88871b01
14d8c464676
157cb730d45
hex4af52e3c0

20121314240 has 56 divisors (see below), whose sum is σ = 50732356752. Its totient is φ = 7575080960.

The previous prime is 20121314221. The next prime is 20121314249. The reversal of 20121314240 is 4241312102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121314249) by changing a digit.

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, 1843946 + ... + 1854825.

It is an arithmetic number, because the mean of its divisors is an integer number (905934942).

Almost surely, 220121314240 is an apocalyptic number.

20121314240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121314240 is an abundant number, since it is smaller than the sum of its proper divisors (30611042512).

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

20121314240 is a wasteful number, since it uses less digits than its factorization.

20121314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3698805 (or 3698795 counting only the distinct ones).

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

Adding to 20121314240 its reverse (4241312102), we get a palindrome (24362626342).

The spelling of 20121314240 in words is "twenty billion, one hundred twenty-one million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 3698771 7397542 14795084 18493855 29590168 36987710 59180336 62879107 73975420 118360672 125758214 147950840 236721344 251516428 295901680 314395535 503032856 591803360 628791070 1006065712 1183606720 1257582140 2012131424 2515164280 4024262848 5030328560 10060657120 20121314240