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2102220322312 = 231122171715209
BaseRepresentation
bin11110100101110110000…
…110000111011000001000
321102222012100102020211111
4132211312012013120020
5233420321400303222
64245425141140104
7304610656623325
oct36456606073010
97388170366744
102102220322312
11740601626a00
1229b5113ba634
1312331406c4a6
1473a6875bb4c
1539a3c0ea777
hex1e976187608

2102220322312 has 24 divisors (see below), whose sum is σ = 4332571843950. Its totient is φ = 955554691520.

The previous prime is 2102220322249. The next prime is 2102220322313. The reversal of 2102220322312 is 2132230222012.

It can be written as a sum of positive squares in only one way, i.e., 1171446887556 + 930773434756 = 1082334^2 + 964766^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2102220322313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1085856637 + ... + 1085858572.

Almost surely, 22102220322312 is an apocalyptic number.

2102220322312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2102220322312 is an abundant number, since it is smaller than the sum of its proper divisors (2230351521638).

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

2102220322312 is a wasteful number, since it uses less digits than its factorization.

2102220322312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171715237 (or 2171715222 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2102220322312 its reverse (2132230222012), we get a palindrome (4234450544324).

The spelling of 2102220322312 in words is "two trillion, one hundred two billion, two hundred twenty million, three hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 2171715209 4343430418 8686860836 17373721672 23888867299 47777734598 95555469196 191110938392 262777540289 525555080578 1051110161156 2102220322312