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1001112132200 = 235211344296997
BaseRepresentation
bin11101001000101101110…
…11101101101001101000
310112201001020002121001112
432210112323231221220
5112400234201212300
62043523215205452
7132220330501655
oct16442673555150
93481036077045
101001112132200
11356629777314
12142032516888
137353480672b
1436650022c2c
151b0941e6e35
hexe916eeda68

1001112132200 has 48 divisors (see below), whose sum is σ = 2348183863980. Its totient is φ = 396901084160.

The previous prime is 1001112132197. The next prime is 1001112132211. The reversal of 1001112132200 is 22312111001.

It can be written as a sum of positive squares in 6 ways, for example, as 276471949636 + 724640182564 = 525806^2 + 851258^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22125899 + ... + 22171098.

Almost surely, 21001112132200 is an apocalyptic number.

1001112132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001112132200 is an abundant number, since it is smaller than the sum of its proper divisors (1347071731780).

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

1001112132200 is a wasteful number, since it uses less digits than its factorization.

1001112132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44297126 (or 44297117 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1001112132200 its reverse (22312111001), we get a palindrome (1023424243201).

The spelling of 1001112132200 in words is "one trillion, one billion, one hundred twelve million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 4520 5650 11300 22600 44296997 88593994 177187988 221484985 354375976 442969970 885939940 1107424925 1771879880 2214849850 4429699700 5005560661 8859399400 10011121322 20022242644 25027803305 40044485288 50055606610 100111213220 125139016525 200222426440 250278033050 500556066100 1001112132200