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1010110020 = 223529751773
BaseRepresentation
bin111100001101010…
…000111001000100
32121101200220110020
4330031100321010
54032042010040
6244122055140
734013536113
oct7415207104
92541626406
101010110020
114791a9677
1224234a4b0
13131369b4a
149821dc7a
155da2bcd0
hex3c350e44

1010110020 has 96 divisors (see below), whose sum is σ = 2933521920. Its totient is φ = 259392000.

The previous prime is 1010110009. The next prime is 1010110099. The reversal of 1010110020 is 200110101.

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 = 1010109990 and 1010110008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1306354 + ... + 1307126.

It is an arithmetic number, because the mean of its divisors is an integer number (30557520).

Almost surely, 21010110020 is an apocalyptic number.

1010110020 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 1010110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466760960).

1010110020 is an abundant number, since it is smaller than the sum of its proper divisors (1923411900).

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

1010110020 is a wasteful number, since it uses less digits than its factorization.

1010110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1563 counting only the distinct ones).

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

The square root of 1010110020 is about 31782.2280527971. The cubic root of 1010110020 is about 1003.3587130833.

Adding to 1010110020 its reverse (200110101), we get a palindrome (1210220121).

The spelling of 1010110020 in words is "one billion, ten million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 751 773 870 1502 1546 1740 2253 2319 3004 3092 3755 3865 4506 4638 7510 7730 9012 9276 11265 11595 15020 15460 21779 22417 22530 23190 43558 44834 45060 46380 65337 67251 87116 89668 108895 112085 130674 134502 217790 224170 261348 269004 326685 336255 435580 448340 580523 653370 672510 1161046 1306740 1345020 1741569 2322092 2902615 3483138 5805230 6966276 8707845 11610460 16835167 17415690 33670334 34831380 50505501 67340668 84175835 101011002 168351670 202022004 252527505 336703340 505055010 1010110020