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10202211120020 = 225541942903061
BaseRepresentation
bin1001010001110110001100…
…1010110111001110010100
31100010022200122010110202212
42110131203022313032110
52314123112021320040
633410455303052552
72102041205453333
oct224354312671624
940108618113685
1010202211120020
11328380822a437
12118930ba41158
135900ab5a062a
14273b0ab43d1a
1512a5b257dd65
hex947632b7394

10202211120020 has 24 divisors (see below), whose sum is σ = 21464245303368. Its totient is φ = 4073341219200.

The previous prime is 10202211119999. The next prime is 10202211120043. The reversal of 10202211120020 is 2002111220201.

10202211120020 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 4 ways, for example, as 1098027345424 + 9104183774596 = 1047868^2 + 3017314^2 .

It is a super-2 number, since 2×102022111200202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10202211119977 and 10202211120004.

It is a congruent number.

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, 471440711 + ... + 471462350.

It is an arithmetic number, because the mean of its divisors is an integer number (894343554307).

Almost surely, 210202211120020 is an apocalyptic number.

10202211120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202211120020 is an abundant number, since it is smaller than the sum of its proper divisors (11262034183348).

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

10202211120020 is a wasteful number, since it uses less digits than its factorization.

10202211120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942903611 (or 942903609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10202211120020 its reverse (2002111220201), we get a palindrome (12204322340221).

The spelling of 10202211120020 in words is "ten trillion, two hundred two billion, two hundred eleven million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 541 1082 2164 2705 5410 10820 942903061 1885806122 3771612244 4714515305 9429030610 18858061220 510110556001 1020221112002 2040442224004 2550552780005 5101105560010 10202211120020