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1022220222100 = 2252711178599091
BaseRepresentation
bin11101110000000010001…
…00101011111010010100
310121201112021200122212221
432320001010223322110
5113222001334101400
62101333530552124
7133565366344450
oct16700104537224
93551467618787
101022220222100
11364580736710
12146143598644
137551993535c
1437693551660
151b8cc395c1a
hexee0112be94

1022220222100 has 288 divisors, whose sum is σ = 2931982341120. Its totient is φ = 299490048000.

The previous prime is 1022220222071. The next prime is 1022220222113. The reversal of 1022220222100 is 12220222201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112438555 + ... + 112447645.

It is an arithmetic number, because the mean of its divisors is an integer number (10180494240).

Almost surely, 21022220222100 is an apocalyptic number.

1022220222100 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 1022220222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465991170560).

1022220222100 is an abundant number, since it is smaller than the sum of its proper divisors (1909762119020).

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

1022220222100 is a wasteful number, since it uses less digits than its factorization.

1022220222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9999 (or 9992 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1022220222100 its reverse (12220222201), we get a palindrome (1034440444301).

The spelling of 1022220222100 in words is "one trillion, twenty-two billion, two hundred twenty million, two hundred twenty-two thousand, one hundred".