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2121012308916 = 223258917008581
BaseRepresentation
bin11110110111010110001…
…011110110101110110100
321111202200222212002020100
4132313112023312232310
5234222313122341131
64302213554434100
7306144443105304
oct36672613665664
97452628762210
102121012308916
11748575176646
122a3096892930
1312501a3a83a7
147492c429604
153a28bc967e6
hex1edd62f6bb4

2121012308916 has 18 divisors (see below), whose sum is σ = 5361447780962. Its totient is φ = 707004102960.

The previous prime is 2121012308897. The next prime is 2121012308917. The reversal of 2121012308916 is 6198032101212.

It can be written as a sum of positive squares in only one way, i.e., 2091627492516 + 29384816400 = 1446246^2 + 171420^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 58917008581 = 2121012308916 / (2 + 1 + 2 + 1 + 0 + 1 + 2 + 3 + 0 + 8 + 9 + 1 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121012308917) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29458504255 + ... + 29458504326.

Almost surely, 22121012308916 is an apocalyptic number.

It is an amenable number.

2121012308916 is an abundant number, since it is smaller than the sum of its proper divisors (3240435472046).

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

2121012308916 is a wasteful number, since it uses less digits than its factorization.

2121012308916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58917008591 (or 58917008586 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 2121012308916 in words is "two trillion, one hundred twenty-one billion, twelve million, three hundred eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 58917008581 117834017162 176751025743 235668034324 353502051486 530253077229 707004102972 1060506154458 2121012308916