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11110012020 = 22325178934501
BaseRepresentation
bin10100101100011010…
…10101010001110100
31001200021110002100200
422112031111101310
5140223130341040
65034234040500
7542213354412
oct122615252164
931607402320
1011110012020
114791348518
1221a0879130
131080965313
1477574a2b2
15450570630
hex296355474

11110012020 has 72 divisors (see below), whose sum is σ = 33720184680. Its totient is φ = 2960928000.

The previous prime is 11110012009. The next prime is 11110012031. The reversal of 11110012020 is 2021001111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11110012009) and next prime (11110012031).

It can be written as a sum of positive squares in 4 ways, for example, as 3868342416 + 7241669604 = 62196^2 + 85098^2 .

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 = 11110011993 and 11110012011.

It is a congruent number.

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, 304770 + ... + 339270.

Almost surely, 211110012020 is an apocalyptic number.

11110012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11110012020 is an abundant number, since it is smaller than the sum of its proper divisors (22610172660).

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

11110012020 is a wasteful number, since it uses less digits than its factorization.

11110012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36305 (or 36300 counting only the distinct ones).

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

Adding to 11110012020 its reverse (2021001111), we get a palindrome (13131013131).

The spelling of 11110012020 in words is "eleven billion, one hundred ten million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1789 3578 5367 7156 8945 10734 16101 17890 21468 26835 32202 34501 35780 53670 64404 69002 80505 103503 107340 138004 161010 172505 207006 310509 322020 345010 414012 517515 621018 690020 1035030 1242036 1552545 2070060 3105090 6210180 61722289 123444578 185166867 246889156 308611445 370333734 555500601 617222890 740667468 925834335 1111001202 1234445780 1851668670 2222002404 2777503005 3703337340 5555006010 11110012020