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101010112020 = 2234562351921
BaseRepresentation
bin101111000010010101…
…0111111111000010100
3100122201120100100110000
41132010222333320110
53123332042041040
6114223045131300
710204060533336
oct1360452777024
9318646310400
10101010112020
1139924636224
12176b00b9b30
1396a9b7a46c
144c63281456
152962c67130
hex1784abfe14

101010112020 has 60 divisors (see below), whose sum is σ = 316872467604. Its totient is φ = 26936029440.

The previous prime is 101010112013. The next prime is 101010112139. The reversal of 101010112020 is 20211010101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 77219517456 + 23790594564 = 277884^2 + 154242^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101010111993 and 101010112011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31174341 + ... + 31177580.

Almost surely, 2101010112020 is an apocalyptic number.

101010112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010112020 is an abundant number, since it is smaller than the sum of its proper divisors (215862355584).

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

101010112020 is a wasteful number, since it uses less digits than its factorization.

101010112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62351942 (or 62351931 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101010112020 its reverse (20211010101), we get a palindrome (121221122121).

It can be divided in two parts, 1010101 and 12020, that added together give a square (1022121 = 10112).

The spelling of 101010112020 in words is "one hundred one billion, ten million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 62351921 124703842 187055763 249407684 311759605 374111526 561167289 623519210 748223052 935278815 1122334578 1247038420 1683501867 1870557630 2244669156 2805836445 3367003734 3741115260 5050505601 5611672890 6734007468 8417509335 10101011202 11223345780 16835018670 20202022404 25252528005 33670037340 50505056010 101010112020