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1001102000200 = 23526182057541
BaseRepresentation
bin11101001000101100101…
…01000100000001001000
310112201000112000211120021
432210112111010001020
5112400224103001300
62043522214110224
7132220145412421
oct16442625040110
93481015024507
101001102000200
11356623a86a65
1214202b04b374
1373532699a73
143664c946648
151b093394d1a
hexe916544048

1001102000200 has 48 divisors (see below), whose sum is σ = 2365718935860. Its totient is φ = 393876192000.

The previous prime is 1001102000191. The next prime is 1001102000207. The reversal of 1001102000200 is 20002011001.

It can be written as a sum of positive squares in 6 ways, for example, as 421515174564 + 579586825636 = 649242^2 + 761306^2 .

It is not an unprimeable number, because it can be changed into a prime (1001102000207) 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, 41016571 + ... + 41040970.

Almost surely, 21001102000200 is an apocalyptic number.

1001102000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001102000200 is an abundant number, since it is smaller than the sum of its proper divisors (1364616935660).

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

1001102000200 is a wasteful number, since it uses less digits than its factorization.

1001102000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82057618 (or 82057609 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1001102000200 its reverse (20002011001), we get a palindrome (1021104011201).

The spelling of 1001102000200 in words is "one trillion, one billion, one hundred two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 12200 82057541 164115082 328230164 410287705 656460328 820575410 1641150820 2051438525 3282301640 4102877050 5005510001 8205754100 10011020002 16411508200 20022040004 25027550005 40044080008 50055100010 100110200020 125137750025 200220400040 250275500050 500551000100 1001102000200