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10220212112022 = 232111755712894229
BaseRepresentation
bin1001010010111001010000…
…0111001100101010010110
31100012001011011011121120100
42110232110013030222112
52314421443300041042
633423033422514530
72103246245406513
oct224562407145226
940161134147510
1010220212112022
11329040532a130
1211908b4435a46
135919b9a8a5a3
1427493774c30a
1512acb7a8124c
hex94b941cca96

10220212112022 has 192 divisors, whose sum is σ = 25649720366400. Its totient is φ = 2906677616640.

The previous prime is 10220212112009. The next prime is 10220212112023. The reversal of 10220212112022 is 22021121202201.

It is a happy number.

10220212112022 is a `hidden beast` number, since 10 + 220 + 21 + 211 + 202 + 2 = 666.

It is a super-2 number, since 2×102202121120222 (a number of 27 digits) contains 22 as substring.

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 = 10220212111986 and 10220212112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220212112023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2416695004 + ... + 2416699232.

It is an arithmetic number, because the mean of its divisors is an integer number (133592293575).

Almost surely, 210220212112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220212112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12824860183200).

10220212112022 is an abundant number, since it is smaller than the sum of its proper divisors (15429508254378).

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

10220212112022 is a wasteful number, since it uses less digits than its factorization.

10220212112022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6111 (or 6108 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10220212112022 its reverse (22021121202201), we get a palindrome (32241333314223).

The spelling of 10220212112022 in words is "ten trillion, two hundred twenty billion, two hundred twelve million, one hundred twelve thousand, twenty-two".