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1011322100000 = 255510113221
BaseRepresentation
bin11101011011101110111…
…11101001100100100000
310120200101202221200212002
432231313133221210200
5113032141424200000
62052332302223132
7133031335004642
oct16556737514440
93520352850762
101011322100000
1135a998a62233
12144001884aa8
13744a0b5b1b4
1436d3c000892
151b49072c8d5
hexeb777e9920

1011322100000 has 72 divisors (see below), whose sum is σ = 2488641443316. Its totient is φ = 404528800000.

The previous prime is 1011322099987. The next prime is 1011322100029. The reversal of 1011322100000 is 12231101.

It can be written as a sum of positive squares in 6 ways, for example, as 190797734416 + 820524365584 = 436804^2 + 905828^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4956611 + ... + 5156610.

Almost surely, 21011322100000 is an apocalyptic number.

1011322100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011322100000 is an abundant number, since it is smaller than the sum of its proper divisors (1477319343316).

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

1011322100000 is an frugal number, since it uses more digits than its factorization.

1011322100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10113256 (or 10113228 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1011322100000 its reverse (12231101), we get a palindrome (1011334331101).

The spelling of 1011322100000 in words is "one trillion, eleven billion, three hundred twenty-two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 10113221 20226442 40452884 50566105 80905768 101132210 161811536 202264420 252830525 323623072 404528840 505661050 809057680 1011322100 1264152625 1618115360 2022644200 2528305250 4045288400 5056610500 6320763125 8090576800 10113221000 12641526250 20226442000 25283052500 31603815625 40452884000 50566105000 63207631250 101132210000 126415262500 202264420000 252830525000 505661050000 1011322100000