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2102002012120 = 235316725300939
BaseRepresentation
bin11110100101101001000…
…101010100111111011000
321102221122010121221112211
4132211221011110333120
5233414400003341440
64245351342044504
7304602366205423
oct36455105247730
97387563557484
102102002012120
117404aa37825a
1229b470279734
131232aaa73c6a
1473a477709ba
1539a27d75eea
hex1e969154fd8

2102002012120 has 64 divisors (see below), whose sum is σ = 4954936089600. Its totient is φ = 801533715840.

The previous prime is 2102002012109. The next prime is 2102002012127. The reversal of 2102002012120 is 212102002012.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2102002012120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102002012127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12567390 + ... + 12733549.

It is an arithmetic number, because the mean of its divisors is an integer number (77420876400).

Almost surely, 22102002012120 is an apocalyptic number.

2102002012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102002012120 is an abundant number, since it is smaller than the sum of its proper divisors (2852934077480).

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

2102002012120 is a wasteful number, since it uses less digits than its factorization.

2102002012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25301048 (or 25301044 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2102002012120 its reverse (212102002012), we get a palindrome (2314104014132).

The spelling of 2102002012120 in words is "two trillion, one hundred two billion, two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 67 124 134 155 248 268 310 335 536 620 670 1240 1340 2077 2680 4154 8308 10385 16616 20770 41540 83080 25300939 50601878 101203756 126504695 202407512 253009390 506018780 784329109 1012037560 1568658218 1695162913 3137316436 3390325826 3921645545 6274632872 6780651652 7843291090 8475814565 13561303304 15686582180 16951629130 31373164360 33903258260 52550050303 67806516520 105100100606 210200201212 262750251515 420400402424 525500503030 1051001006060 2102002012120