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110201110020 = 223253971542137
BaseRepresentation
bin110011010100001111…
…1110111111000000100
3101112110002211102110100
41212220133313320010
53301142441010040
6122343052124100
710650612660021
oct1465037677004
9345402742410
10110201110020
1142810721041
1219436166630
13a513082511
145495bb4548
152ceeac0b30
hex19a87f7e04

110201110020 has 72 divisors (see below), whose sum is σ = 335118924504. Its totient is φ = 29312921088.

The previous prime is 110201110009. The next prime is 110201110067. The reversal of 110201110020 is 20011102011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2103506496 + 108097603524 = 45864^2 + 328782^2 .

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 = 110201109984 and 110201110011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699609 + ... + 842528.

It is an arithmetic number, because the mean of its divisors is an integer number (4654429507).

Almost surely, 2110201110020 is an apocalyptic number.

110201110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110201110020 is an abundant number, since it is smaller than the sum of its proper divisors (224917814484).

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

110201110020 is a wasteful number, since it uses less digits than its factorization.

110201110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542549 (or 1542544 counting only the distinct ones).

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

Adding to 110201110020 its reverse (20011102011), we get a palindrome (130212212031).

The spelling of 110201110020 in words is "one hundred ten billion, two hundred one million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 397 794 1191 1588 1985 2382 3573 3970 4764 5955 7146 7940 11910 14292 17865 23820 35730 71460 1542137 3084274 4626411 6168548 7710685 9252822 13879233 15421370 18505644 23132055 27758466 30842740 46264110 55516932 69396165 92528220 138792330 277584660 612228389 1224456778 1836685167 2448913556 3061141945 3673370334 5510055501 6122283890 7346740668 9183425835 11020111002 12244567780 18366851670 22040222004 27550277505 36733703340 55100555010 110201110020