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10220222221020 = 223257101265930203
BaseRepresentation
bin1001010010111001010010…
…1101110000101011011100
31100012001011212012012111200
42110232110231300223130
52314422003342033040
633423034423315500
72103246430342020
oct224562455605334
940161155165450
1010220222221020
113290410004179
1211908b78abb90
135919bbbb9946
14274938c20380
1512acb88cb630
hex94b94b70adc

10220222221020 has 288 divisors, whose sum is σ = 35795538455040. Its totient is φ = 2311975180800.

The previous prime is 10220222220997. The next prime is 10220222221031. The reversal of 10220222221020 is 2012222202201.

10220222221020 is a `hidden beast` number, since 1 + 0 + 220 + 222 + 221 + 0 + 2 + 0 = 666.

10220222221020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10220222220984 and 10220222221002.

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, 338369239 + ... + 338399441.

It is an arithmetic number, because the mean of its divisors is an integer number (124290064080).

Almost surely, 210220222221020 is an apocalyptic number.

10220222221020 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 10220222221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17897769227520).

10220222221020 is an abundant number, since it is smaller than the sum of its proper divisors (25575316234020).

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

10220222221020 is a wasteful number, since it uses less digits than its factorization.

10220222221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32985 (or 32980 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10220222221020 its reverse (2012222202201), we get a palindrome (12232444423221).

The spelling of 10220222221020 in words is "ten trillion, two hundred twenty billion, two hundred twenty-two million, two hundred twenty-one thousand, twenty".