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1022211221020 = 225113193495791
BaseRepresentation
bin11101110000000001000…
…10010110011000011100
310121201111122202100201121
432320000202112120130
5113221442033033040
62101333010020324
7133565230005313
oct16700042263034
93551448670647
101022211221020
11364576649000
121461405776a4
1375517b03382
143769228b27a
151b8cb6b8c4a
hexee0089661c

1022211221020 has 192 divisors, whose sum is σ = 2492969472000. Its totient is φ = 351079660800.

The previous prime is 1022211220999. The next prime is 1022211221023. The reversal of 1022211221020 is 201221122201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1022211220985 and 1022211221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022211221023) 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, 176514325 + ... + 176520115.

It is an arithmetic number, because the mean of its divisors is an integer number (12984216000).

Almost surely, 21022211221020 is an apocalyptic number.

1022211221020 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 1022211221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246484736000).

1022211221020 is an abundant number, since it is smaller than the sum of its proper divisors (1470758250980).

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

1022211221020 is a wasteful number, since it uses less digits than its factorization.

1022211221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6201 (or 6177 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1022211221020 its reverse (201221122201), we get a palindrome (1223432343221).

It can be divided in two parts, 102 and 2211221020, that added together give a palindrome (2211221122).

The spelling of 1022211221020 in words is "one trillion, twenty-two billion, two hundred eleven million, two hundred twenty-one thousand, twenty".