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102022210220 = 225743109181859
BaseRepresentation
bin101111100000011111…
…1110110001010101100
3100202100002210021011112
41133000333312022230
53132420141211340
6114511322011152
710241130323060
oct1370077661254
9322302707145
10102022210220
113a2a3972617
1217933046ab8
13980b762238
144d1b85baa0
1529c1a38065
hex17c0ff62ac

102022210220 has 192 divisors, whose sum is σ = 254539084800. Its totient is φ = 33625912320.

The previous prime is 102022210219. The next prime is 102022210229. The reversal of 102022210220 is 22012220201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102022210195 and 102022210204.

It is not an unprimeable number, because it can be changed into a prime (102022210229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118768151 + ... + 118769009.

It is an arithmetic number, because the mean of its divisors is an integer number (1325724400).

Almost surely, 2102022210220 is an apocalyptic number.

102022210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102022210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127269542400).

102022210220 is an abundant number, since it is smaller than the sum of its proper divisors (152516874580).

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

102022210220 is a wasteful number, since it uses less digits than its factorization.

102022210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1206 counting only the distinct ones).

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

Adding to 102022210220 its reverse (22012220201), we get a palindrome (124034430421).

The spelling of 102022210220 in words is "one hundred two billion, twenty-two million, two hundred ten thousand, two hundred twenty".