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20120120340 = 22353110999241
BaseRepresentation
bin10010101111010000…
…001010110000010100
31220221012120000101020
4102233100022300110
5312201222322330
613124300001140
71311411125655
oct225720126024
956835500336
1020120120340
118595313231
123a962301b0
131b88544568
14d8c23352c
157cb597210
hex4af40ac14

20120120340 has 96 divisors (see below), whose sum is σ = 58687749120. Its totient is φ = 5144601600.

The previous prime is 20120120327. The next prime is 20120120341. The reversal of 20120120340 is 4302102102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120120341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153120 + ... + 252360.

It is an arithmetic number, because the mean of its divisors is an integer number (611330720).

Almost surely, 220120120340 is an apocalyptic number.

20120120340 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 20120120340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29343874560).

20120120340 is an abundant number, since it is smaller than the sum of its proper divisors (38567628780).

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

20120120340 is a wasteful number, since it uses less digits than its factorization.

20120120340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99393 (or 99391 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20120120340 its reverse (4302102102), we get a palindrome (24422222442).

The spelling of 20120120340 in words is "twenty billion, one hundred twenty million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 109 124 155 186 218 310 327 372 436 465 545 620 654 930 1090 1308 1635 1860 2180 3270 3379 6540 6758 10137 13516 16895 20274 33790 40548 50685 67580 99241 101370 198482 202740 297723 396964 496205 595446 992410 1190892 1488615 1984820 2977230 3076471 5954460 6152942 9229413 10817269 12305884 15382355 18458826 21634538 30764710 32451807 36917652 43269076 46147065 54086345 61529420 64903614 92294130 108172690 129807228 162259035 184588260 216345380 324518070 335335339 649036140 670670678 1006006017 1341341356 1676676695 2012012034 3353353390 4024024068 5030030085 6706706780 10060060170 20120120340