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101002002700020 = 22352373189857029
BaseRepresentation
bin10110111101110001011100…
…011111100001011011110100
3111020121200211020011122201120
4112331301130133201123310
5101214304100142400040
6554451402434023540
730163103532436662
oct2675613437413364
9436550736148646
10101002002700020
112a200788453254
12b3b2a46417bb0
1344485a92c2a86
141ad2747217c32
15ba2461c7d7d0
hex5bdc5c7e16f4

101002002700020 has 48 divisors (see below), whose sum is σ = 295101503544960. Its totient is φ = 25762829673856.

The previous prime is 101002002699991. The next prime is 101002002700021. The reversal of 101002002700020 is 20007200200101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002002700021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36594927135 + ... + 36594929894.

It is an arithmetic number, because the mean of its divisors is an integer number (6147947990520).

Almost surely, 2101002002700020 is an apocalyptic number.

101002002700020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002002700020 is an abundant number, since it is smaller than the sum of its proper divisors (194099500844940).

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

101002002700020 is a wasteful number, since it uses less digits than its factorization.

101002002700020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73189857064 (or 73189857062 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

Adding to 101002002700020 its reverse (20007200200101), we get a palindrome (121009202900121).

The spelling of 101002002700020 in words is "one hundred one trillion, two billion, two million, seven hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 73189857029 146379714058 219569571087 292759428116 365949285145 439139142174 731898570290 878278284348 1097847855435 1463797140580 1683366711667 2195695710870 3366733423334 4391391421740 5050100135001 6733466846668 8416833558335 10100200270002 16833667116670 20200400540004 25250500675005 33667334233340 50501001350010 101002002700020