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10011201103220 = 2257323329429129
BaseRepresentation
bin1001000110101110101000…
…0101011110010101110100
31022110001122211002020211012
42101223222011132111310
52303010414440300340
633143025435331352
72052166616221022
oct221535205362564
938401584066735
1010011201103220
11320a7aa038719
1211582a2bb0b58
1357808a935355
1426878a9cb712
151256334a8565
hex91aea15e574

10011201103220 has 48 divisors (see below), whose sum is σ = 21402982233360. Its totient is φ = 3932673232896.

The previous prime is 10011201103219. The next prime is 10011201103223. The reversal of 10011201103220 is 2230110211001.

10011201103220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1084084945636 + 8927116157584 = 1041194^2 + 2987828^2 .

It is a super-2 number, since 2×100112011032202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011201103195 and 10011201103204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011201103223) 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, 14374385 + ... + 15054744.

It is an arithmetic number, because the mean of its divisors is an integer number (445895463195).

Almost surely, 210011201103220 is an apocalyptic number.

10011201103220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011201103220 is an abundant number, since it is smaller than the sum of its proper divisors (11391781130140).

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

10011201103220 is a wasteful number, since it uses less digits than its factorization.

10011201103220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29429444 (or 29429442 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10011201103220 its reverse (2230110211001), we get a palindrome (12241311314221).

The spelling of 10011201103220 in words is "ten trillion, eleven billion, two hundred one million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 146 233 292 365 466 730 932 1165 1460 2330 4660 17009 34018 68036 85045 170090 340180 29429129 58858258 117716516 147145645 294291290 588582580 2148326417 4296652834 6856987057 8593305668 10741632085 13713974114 21483264170 27427948228 34284935285 42966528340 68569870570 137139741140 500560055161 1001120110322 2002240220644 2502800275805 5005600551610 10011201103220