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101120022012020 = 225111985712314721
BaseRepresentation
bin10110111111011111010110…
…111111011110000001110100
3111021000222110012022220002012
4112333133112333132001310
5101223222301113341040
6555021521413303352
730204452261152544
oct2677372677360164
9437028405286065
10101120022012020
112a246840261140
12b4118a2934b58
134456767034cbb
141ad8341491324
15ba556cdd8865
hex5bf7d6fde074

101120022012020 has 48 divisors (see below), whose sum is σ = 231658044399936. Its totient is φ = 36770716032000.

The previous prime is 101120022012017. The next prime is 101120022012029. The reversal of 101120022012020 is 20210220021101.

It is a super-2 number, since 2×1011200220120202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101120022011986 and 101120022012004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120022012029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42528260 + ... + 44842980.

It is an arithmetic number, because the mean of its divisors is an integer number (4826209258332).

Almost surely, 2101120022012020 is an apocalyptic number.

101120022012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120022012020 is an abundant number, since it is smaller than the sum of its proper divisors (130538022387916).

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

101120022012020 is a wasteful number, since it uses less digits than its factorization.

101120022012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513312 (or 2513310 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101120022012020 its reverse (20210220021101), we get a palindrome (121330242033121).

The spelling of 101120022012020 in words is "one hundred one trillion, one hundred twenty billion, twenty-two million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 198571 397142 794284 992855 1985710 2184281 2314721 3971420 4368562 4629442 8737124 9258884 10921405 11573605 21842810 23147210 25461931 43685620 46294420 50923862 101847724 127309655 254619310 509238620 459636463691 919272927382 1838545854764 2298182318455 4596364636910 5056001100601 9192729273820 10112002201202 20224004402404 25280005503005 50560011006010 101120022012020