Search a number
-
+
221021011020 = 22356754980351
BaseRepresentation
bin1100110111010111100…
…0001111110001001100
3210010111100000200120010
43031311320033301030
512110122334323040
6245311411153220
721653051411265
oct3156570176114
9703440020503
10221021011020
1185809664987
1236a035a5810
1317ac43ac634
14a9a9c2396c
155b38b71e80
hex3375e0fc4c

221021011020 has 48 divisors (see below), whose sum is σ = 628095541248. Its totient is φ = 58059249600.

The previous prime is 221021011019. The next prime is 221021011033. The reversal of 221021011020 is 20110120122.

It is a super-2 number, since 2×2210210110202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 221021010987 and 221021011005.

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, 27486156 + ... + 27494195.

It is an arithmetic number, because the mean of its divisors is an integer number (13085323776).

Almost surely, 2221021011020 is an apocalyptic number.

221021011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221021011020 is an abundant number, since it is smaller than the sum of its proper divisors (407074530228).

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

221021011020 is a wasteful number, since it uses less digits than its factorization.

221021011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54980430 (or 54980428 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221021011020 its reverse (20110120122), we get a palindrome (241131131142).

The spelling of 221021011020 in words is "two hundred twenty-one billion, twenty-one million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 54980351 109960702 164941053 219921404 274901755 329882106 549803510 659764212 824705265 1099607020 1649410530 3298821060 3683683517 7367367034 11051050551 14734734068 18418417585 22102101102 36836835170 44204202204 55255252755 73673670340 110510505510 221021011020