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10001110020 = 22351182118457
BaseRepresentation
bin10010101000001110…
…01101010000000100
3221210222212000210020
421110013031100010
5130440241010040
64332222255140
7502560014106
oct112407152004
927728760706
1010001110020
114272402a90
121b314274b0
13c34cb87a5
146ac371576
153d802bcd0
hex2541cd404

10001110020 has 96 divisors (see below), whose sum is σ = 30587711616. Its totient is φ = 2421427200.

The previous prime is 10001109997. The next prime is 10001110099. The reversal of 10001110020 is 2001110001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 10001109990 and 10001110008.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532632 + ... + 551088.

It is an arithmetic number, because the mean of its divisors is an integer number (318621996).

Almost surely, 210001110020 is an apocalyptic number.

10001110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15293855808).

10001110020 is an abundant number, since it is smaller than the sum of its proper divisors (20586601596).

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

10001110020 is a wasteful number, since it uses less digits than its factorization.

10001110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19301 (or 19299 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10001110020 its reverse (2001110001), we get a palindrome (12002220021).

It can be divided in two parts, 10001 and 110020, that added together give a palindrome (120021).

The spelling of 10001110020 in words is "ten billion, one million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 821 1642 2463 3284 4105 4926 8210 9031 9852 12315 16420 18062 18457 24630 27093 36124 36914 45155 49260 54186 55371 73828 90310 92285 108372 110742 135465 180620 184570 203027 221484 270930 276855 369140 406054 541860 553710 609081 812108 1015135 1107420 1218162 2030270 2436324 3045405 4060540 6090810 12181620 15153197 30306394 45459591 60612788 75765985 90919182 151531970 166685167 181838364 227297955 303063940 333370334 454595910 500055501 666740668 833425835 909191820 1000111002 1666851670 2000222004 2500277505 3333703340 5000555010 10001110020