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10201112202220 = 22517119325149431
BaseRepresentation
bin1001010001110010000110…
…1010110100101111101100
31100010012212001022122221121
42110130201222310233230
52314113334210432340
633410154245310324
72102002033015342
oct224344152645754
940105761278847
1010201112202220
1132832a3994205
121189063a053a4
1358cc64a0b404
14273a44c07992
1512a54ad5d94a
hex94721ab4bec

10201112202220 has 48 divisors (see below), whose sum is σ = 22701486886848. Its totient is φ = 3837199431680.

The previous prime is 10201112202187. The next prime is 10201112202227. The reversal of 10201112202220 is 2220221110201.

It is a happy number.

10201112202220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10201112202194 and 10201112202203.

It is not an unprimeable number, because it can be changed into a prime (10201112202227) 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, 12169096 + ... + 12980335.

It is an arithmetic number, because the mean of its divisors is an integer number (472947643476).

Almost surely, 210201112202220 is an apocalyptic number.

10201112202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201112202220 is an abundant number, since it is smaller than the sum of its proper divisors (12500374684628).

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

10201112202220 is a wasteful number, since it uses less digits than its factorization.

10201112202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25150650 (or 25150648 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10201112202220 its reverse (2220221110201), we get a palindrome (12421333312421).

The spelling of 10201112202220 in words is "ten trillion, two hundred one billion, one hundred twelve million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1193 2386 4772 5965 11930 20281 23860 40562 81124 101405 202810 405620 25149431 50298862 100597724 125747155 251494310 427540327 502988620 855080654 1710161308 2137701635 4275403270 8550806540 30003271183 60006542366 120013084732 150016355915 300032711830 510055610111 600065423660 1020111220222 2040222440444 2550278050555 5100556101110 10201112202220