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10111021220 = 225738977813
BaseRepresentation
bin10010110101010100…
…11111000010100100
3222002122200002121102
421122222133002210
5131201410134340
64351150135232
7505363155656
oct113252370244
928078602542
1010111021220
114319453993
121b621b1518
13c519bc5c1
146bcbc26d6
153e29dd215
hex25aa9f0a4

10111021220 has 48 divisors (see below), whose sum is σ = 21766132080. Its totient is φ = 3944134656.

The previous prime is 10111021189. The next prime is 10111021229. The reversal of 10111021220 is 2212011101.

It can be written as a sum of positive squares in 8 ways, for example, as 115820644 + 9995200576 = 10762^2 + 99976^2 .

It is a super-2 number, since 2×101110212202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10111021229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91034 + ... + 168846.

It is an arithmetic number, because the mean of its divisors is an integer number (453461085).

Almost surely, 210111021220 is an apocalyptic number.

10111021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111021220 is an abundant number, since it is smaller than the sum of its proper divisors (11655110860).

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

10111021220 is a wasteful number, since it uses less digits than its factorization.

10111021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77984 (or 77982 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10111021220 its reverse (2212011101), we get a palindrome (12323032321).

The spelling of 10111021220 in words is "ten billion, one hundred eleven million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 89 146 178 292 356 365 445 730 890 1460 1780 6497 12994 25988 32485 64970 77813 129940 155626 311252 389065 778130 1556260 5680349 6925357 11360698 13850714 22721396 27701428 28401745 34626785 56803490 69253570 113606980 138507140 505551061 1011102122 2022204244 2527755305 5055510610 10111021220