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2121340621356 = 2232115356920761
BaseRepresentation
bin11110110111101001110…
…000010001001000101100
321111210112212122002020100
4132313221300101020230
5234224001144340411
64302310323351100
7306155540524365
oct36675160211054
97453485562210
102121340621356
11748723528640
122a3168822490
13125070409cc8
147495dc8cb6c
153a2aa9e9456
hex1ede9c1122c

2121340621356 has 36 divisors (see below), whose sum is σ = 5849757472104. Its totient is φ = 642830491200.

The previous prime is 2121340621349. The next prime is 2121340621357. The reversal of 2121340621356 is 6531260431212.

2121340621356 is a `hidden beast` number, since 2 + 1 + 21 + 3 + 4 + 0 + 621 + 3 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×21213406213563 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2121340621356.

It is not an unprimeable number, because it can be changed into a prime (2121340621357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2678459985 + ... + 2678460776.

It is an arithmetic number, because the mean of its divisors is an integer number (162493263114).

Almost surely, 22121340621356 is an apocalyptic number.

It is an amenable number.

2121340621356 is an abundant number, since it is smaller than the sum of its proper divisors (3728416850748).

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

2121340621356 is a wasteful number, since it uses less digits than its factorization.

2121340621356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356920782 (or 5356920777 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2121340621356 in words is "two trillion, one hundred twenty-one billion, three hundred forty million, six hundred twenty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 5356920761 10713841522 16070762283 21427683044 32141524566 48212286849 58926128371 64283049132 96424573698 117852256742 176778385113 192849147396 235704513484 353556770226 530335155339 707113540452 1060670310678 2121340621356