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1221110100 = 223352764609
BaseRepresentation
bin100100011001000…
…1010100101010100
310011002201211011000
41020302022211110
510000101010400
6321100343300
742155156520
oct11062124524
93132654130
101221110100
11577315101
122a0b44b30
13165ca5c72
14b8266d80
157230a600
hex48c8a954

1221110100 has 144 divisors (see below), whose sum is σ = 4486518400. Its totient is φ = 279106560.

The previous prime is 1221110071. The next prime is 1221110101. The reversal of 1221110100 is 10111221.

It is a happy number.

It is a super-2 number, since 2×12211101002 = 2982219752644020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221110101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13405 + ... + 51204.

Almost surely, 21221110100 is an apocalyptic number.

1221110100 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 1221110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243259200).

1221110100 is an abundant number, since it is smaller than the sum of its proper divisors (3265408300).

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

1221110100 is a wasteful number, since it uses less digits than its factorization.

1221110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64639 (or 64626 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1221110100 is about 34944.3858151778. The cubic root of 1221110100 is about 1068.8537233897.

Adding to 1221110100 its reverse (10111221), we get a palindrome (1231221321).

The spelling of 1221110100 in words is "one billion, two hundred twenty-one million, one hundred ten thousand, one hundred".