Search a number
-
+
202221000102020 = 225233854171140611
BaseRepresentation
bin101101111110101100111110…
…111000001001000010000100
3222112000010202012011022100012
4231332230332320021002010
5203001142102011231040
61554031013413405352
760410661616561034
oct5576547670110204
9875003665138305
10202221000102020
1159485498737849
121a81b94b939858
1388ab487791793
1437d17976138c4
15185a373e5d865
hexb7eb3ee09084

202221000102020 has 48 divisors (see below), whose sum is σ = 443129294982528. Its totient is φ = 77371244501760.

The previous prime is 202221000101983. The next prime is 202221000102041. The reversal of 202221000102020 is 20201000122202.

202221000102020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2022210001020202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202221000101986 and 202221000102004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176721515 + ... + 177862125.

It is an arithmetic number, because the mean of its divisors is an integer number (9231860312136).

Almost surely, 2202221000102020 is an apocalyptic number.

202221000102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221000102020 is an abundant number, since it is smaller than the sum of its proper divisors (240908294880508).

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

202221000102020 is a wasteful number, since it uses less digits than its factorization.

202221000102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526060 (or 1526058 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202221000102020 its reverse (20201000122202), we get a palindrome (222422000224222).

The spelling of 202221000102020 in words is "two hundred two trillion, two hundred twenty-one billion, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 385417 770834 1140611 1541668 1927085 2281222 3854170 4562444 5703055 7708340 8864591 11406110 17729182 22812220 26234053 35458364 44322955 52468106 88645910 104936212 131170265 177291820 262340530 524681060 439610869787 879221739574 1758443479148 2198054348935 4396108697870 8792217395740 10111050005101 20222100010202 40444200020404 50555250025505 101110500051010 202221000102020