Search a number
-
+
100121332 = 22119320981
BaseRepresentation
bin1011111011110…
…11101011110100
320222101200122111
411331323223310
5201112340312
613533540404
72324005633
oct575735364
9228350574
10100121332
1151574703
1229644704
1317986abc
14d42351a
158bca8a7
hex5f7baf4

100121332 has 12 divisors (see below), whose sum is σ = 175367556. Its totient is φ = 50016320.

The previous prime is 100121321. The next prime is 100121341. The reversal of 100121332 is 233121001.

It can be written as a sum of positive squares in 2 ways, for example, as 51065316 + 49056016 = 7146^2 + 7004^2 .

It is a super-2 number, since 2×1001213322 = 20048562242908448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5719 + ... + 15262.

It is an arithmetic number, because the mean of its divisors is an integer number (14613963).

Almost surely, 2100121332 is an apocalyptic number.

It is an amenable number.

100121332 is a deficient number, since it is larger than the sum of its proper divisors (75246224).

100121332 is a wasteful number, since it uses less digits than its factorization.

100121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22178 (or 22176 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 100121332 is about 10006.0647609337. The cubic root of 100121332 is about 464.3465319079.

Adding to 100121332 its reverse (233121001), we get a palindrome (333242333).

The spelling of 100121332 in words is "one hundred million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 1193 2386 4772 20981 41962 83924 25030333 50060666 100121332