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1102022032122 = 232116691831829
BaseRepresentation
bin10000000010010101101…
…000011011101011111010
310220100111210212122100100
4100002111220123223322
5121023420120011442
62202132324420230
7142422063500634
oct20022550335372
93810453778310
101102022032122
11395401786720
121596b4b47676
137cbc699799b
143b4a3c59a54
151d9ed26684c
hex10095a1bafa

1102022032122 has 48 divisors (see below), whose sum is σ = 2605171776480. Its totient is φ = 333895759200.

The previous prime is 1102022032081. The next prime is 1102022032127. The reversal of 1102022032122 is 2212302202011.

1102022032122 is a `hidden beast` number, since 1 + 102 + 0 + 220 + 321 + 22 = 666.

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 = 1102022032095 and 1102022032104.

It is not an unprimeable number, because it can be changed into a prime (1102022032127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 908904 + ... + 1740732.

It is an arithmetic number, because the mean of its divisors is an integer number (54274412010).

Almost surely, 21102022032122 is an apocalyptic number.

1102022032122 is an abundant number, since it is smaller than the sum of its proper divisors (1503149744358).

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

1102022032122 is a wasteful number, since it uses less digits than its factorization.

1102022032122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838539 (or 838536 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1102022032122 its reverse (2212302202011), we get a palindrome (3314324234133).

The spelling of 1102022032122 in words is "one trillion, one hundred two billion, twenty-two million, thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 6691 13382 20073 40146 60219 73601 120438 147202 220803 441606 662409 831829 1324818 1663658 2495487 4990974 7486461 9150119 14972922 18300238 27450357 54900714 82351071 164702142 5565767839 11131535678 16697303517 33394607034 50091910551 61223446229 100183821102 122446892458 183670338687 367340677374 551011016061 1102022032122