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101002110012200 = 23521850692728769
BaseRepresentation
bin10110111101110001100010…
…111000111000101100101000
3111020121201002201002200100202
4112331301202320320230220
5101214304310130342300
6554451421230051332
730163106304535325
oct2675614270705450
9436551081080322
10101002110012200
112a200832a89501
12b3b2a76349b48
1344485c55c68c7
141ad275758db4c
15ba246b3c9ad5
hex5bdc62e38b28

101002110012200 has 48 divisors (see below), whose sum is σ = 234831260713500. Its totient is φ = 40400610897920.

The previous prime is 101002110012169. The next prime is 101002110012211. The reversal of 101002110012200 is 2210011200101.

It can be written as a sum of positive squares in 6 ways, for example, as 81800483987044 + 19201626025156 = 9044362^2 + 4381966^2 .

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, 35649416 + ... + 38378184.

Almost surely, 2101002110012200 is an apocalyptic number.

101002110012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002110012200 is an abundant number, since it is smaller than the sum of its proper divisors (133829150701300).

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

101002110012200 is a wasteful number, since it uses less digits than its factorization.

101002110012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913854 (or 2913845 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101002110012200 its reverse (2210011200101), we get a palindrome (103212121212301).

The spelling of 101002110012200 in words is "one hundred one trillion, two billion, one hundred ten million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 185069 370138 740276 925345 1480552 1850690 2728769 3701380 4626725 5457538 7402760 9253450 10915076 13643845 18506900 21830152 27287690 37013800 54575380 68219225 109150760 136438450 272876900 545753800 505010550061 1010021100122 2020042200244 2525052750305 4040084400488 5050105500610 10100211001220 12625263751525 20200422002440 25250527503050 50501055006100 101002110012200