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1010111110020 = 223255611728389
BaseRepresentation
bin11101011001011110101…
…00000101101110000100
310120120021101021000220100
432230233110011232010
5113022201421010040
62052012202404100
7132656331524625
oct16545724055604
93516241230810
101010111110020
1135a42742a571
12143924200630
1374339cb968c
1436c6524da4c
151b41e270b30
hexeb2f505b84

1010111110020 has 36 divisors (see below), whose sum is σ = 3064003700940. Its totient is φ = 269362962624.

The previous prime is 1010111110009. The next prime is 1010111110037. The reversal of 1010111110020 is 200111110101.

1010111110020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 744962324544 + 265148785476 = 863112^2 + 514926^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1010111109984 and 1010111110011.

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, 2805864015 + ... + 2805864374.

It is an arithmetic number, because the mean of its divisors is an integer number (85111213915).

Almost surely, 21010111110020 is an apocalyptic number.

1010111110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010111110020 is an abundant number, since it is smaller than the sum of its proper divisors (2053892590920).

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

1010111110020 is a wasteful number, since it uses less digits than its factorization.

1010111110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5611728404 (or 5611728399 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1010111110020 its reverse (200111110101), we get a palindrome (1210222220121).

The spelling of 1010111110020 in words is "one trillion, ten billion, one hundred eleven million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5611728389 11223456778 16835185167 22446913556 28058641945 33670370334 50505555501 56117283890 67340740668 84175925835 101011111002 112234567780 168351851670 202022222004 252527777505 336703703340 505055555010 1010111110020