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2121132110310 = 233512016541253
BaseRepresentation
bin11110110111011101010…
…100110111000111100110
321111210000100021121212000
4132313131110313013212
5234223034310012220
64302233514310130
7306150426311433
oct36673524670746
97453010247760
102121132110310
11748626862164
122a310aa28346
13125039162aa5
14749402d2b8a
153a29755d390
hex1eddd5371e6

2121132110310 has 64 divisors (see below), whose sum is σ = 5661062861760. Its totient is φ = 565164172800.

The previous prime is 2121132110287. The next prime is 2121132110333. The reversal of 2121132110310 is 130112311212.

2121132110310 is a `hidden beast` number, since 2 + 1 + 21 + 1 + 321 + 10 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (2121132110287) and next prime (2121132110333).

It is a super-2 number, since 2×21211321103102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2946357 + ... + 3594896.

It is an arithmetic number, because the mean of its divisors is an integer number (88454107215).

Almost surely, 22121132110310 is an apocalyptic number.

2121132110310 is an abundant number, since it is smaller than the sum of its proper divisors (3539930751450).

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

2121132110310 is a wasteful number, since it uses less digits than its factorization.

2121132110310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6542470 (or 6542464 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2121132110310 its reverse (130112311212), we get a palindrome (2251244421522).

The spelling of 2121132110310 in words is "two trillion, one hundred twenty-one billion, one hundred thirty-two million, one hundred ten thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1201 2402 3603 6005 7206 10809 12010 18015 21618 32427 36030 54045 64854 108090 162135 324270 6541253 13082506 19623759 32706265 39247518 58871277 65412530 98118795 117742554 176613831 196237590 294356385 353227662 588712770 883069155 1766138310 7856044853 15712089706 23568134559 39280224265 47136269118 70704403677 78560448530 117840672795 141408807354 212113211031 235681345590 353522018385 424226422062 707044036770 1060566055155 2121132110310