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1000101110020 = 225174127712739
BaseRepresentation
bin11101000110110101010…
…10111110000100000100
310112121102202200100100121
432203122222332010010
5112341201341010040
62043235021351324
7132153303113305
oct16433252760404
93477382610317
101000101110020
113561600053a1
121419aba08544
137340320a65c
1436595a467ac
151b035589c4a
hexe8daabe104

1000101110020 has 48 divisors (see below), whose sum is σ = 2224296184320. Its totient is φ = 376416894464.

The previous prime is 1000101109991. The next prime is 1000101110059. The reversal of 1000101110020 is 200111010001.

It is a super-2 number, since 2×10001011100202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000101109985 and 1000101110012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1046811 + ... + 1759549.

It is an arithmetic number, because the mean of its divisors is an integer number (46339503840).

Almost surely, 21000101110020 is an apocalyptic number.

1000101110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000101110020 is an abundant number, since it is smaller than the sum of its proper divisors (1224195074300).

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

1000101110020 is a wasteful number, since it uses less digits than its factorization.

1000101110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716892 (or 716890 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1000101110020 its reverse (200111010001), we get a palindrome (1200212120021).

The spelling of 1000101110020 in words is "one trillion, one hundred one million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 4127 8254 16508 20635 41270 70159 82540 140318 280636 350795 701590 712739 1403180 1425478 2850956 3563695 7127390 12116563 14254780 24233126 48466252 60582815 121165630 242331260 2941473853 5882947706 11765895412 14707369265 29414738530 50005055501 58829477060 100010111002 200020222004 250025277505 500050555010 1000101110020