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10021102240 = 255349179461
BaseRepresentation
bin10010101010100110…
…11110001010100000
3221212101110201221211
421111103132022200
5131010400232430
64334214555504
7503221651342
oct112523361240
927771421854
1010021102240
114282718486
121b38068b94
13c391984c6
146b0c97292
153d9b7a72a
hex2554de2a0

10021102240 has 48 divisors (see below), whose sum is σ = 23742822600. Its totient is φ = 3996933120.

The previous prime is 10021102219. The next prime is 10021102241. The reversal of 10021102240 is 4220112001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5701458064 + 4319644176 = 75508^2 + 65724^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10021102240.

It is not an unprimeable number, because it can be changed into a prime (10021102241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33891 + ... + 145570.

Almost surely, 210021102240 is an apocalyptic number.

10021102240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021102240 is an abundant number, since it is smaller than the sum of its proper divisors (13721720360).

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

10021102240 is a wasteful number, since it uses less digits than its factorization.

10021102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179825 (or 179817 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10021102240 its reverse (4220112001), we get a palindrome (14241214241).

The spelling of 10021102240 in words is "ten billion, twenty-one million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 349 698 1396 1745 2792 3490 5584 6980 11168 13960 27920 55840 179461 358922 717844 897305 1435688 1794610 2871376 3589220 5742752 7178440 14356880 28713760 62631889 125263778 250527556 313159445 501055112 626318890 1002110224 1252637780 2004220448 2505275560 5010551120 10021102240