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202201101011120 = 24510125024888739
BaseRepresentation
bin101101111110011010011100…
…110011001000100010110000
3222111221020101101111202100112
4231332122130303020202300
5203000330323324323440
61554013523051040452
760406355531233541
oct5576323463104260
9874836341452315
10202201101011120
1159478007170282
121a817b17740128
1388a9635c88393
1437d082a8b84c8
151859aabec6965
hexb7e69ccc88b0

202201101011120 has 40 divisors (see below), whose sum is σ = 474772189175280. Its totient is φ = 80079643961600.

The previous prime is 202201101011099. The next prime is 202201101011159. The reversal of 202201101011120 is 21110101102202.

202201101011120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 202201101011095 and 202201101011104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12512436290 + ... + 12512452449.

It is an arithmetic number, because the mean of its divisors is an integer number (11869304729382).

Almost surely, 2202201101011120 is an apocalyptic number.

202201101011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202201101011120 is an abundant number, since it is smaller than the sum of its proper divisors (272571088164160).

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

202201101011120 is a wasteful number, since it uses less digits than its factorization.

202201101011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25024888853 (or 25024888847 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 202201101011120 its reverse (21110101102202), we get a palindrome (223311202113322).

The spelling of 202201101011120 in words is "two hundred two trillion, two hundred one billion, one hundred one million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 25024888739 50049777478 100099554956 125124443695 200199109912 250248887390 400398219824 500497774780 1000995549560 2001991099120 2527513762639 5055027525278 10110055050556 12637568813195 20220110101112 25275137626390 40440220202224 50550275252780 101100550505560 202201101011120