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100012221 = 32372331289
BaseRepresentation
bin1011111011000…
…01000010111101
320222012010222100
411331201002331
5201100342341
613531335313
72323042551
oct575410275
9228163870
10100012221
11514aa731
12295b1539
131794923a
14d3d5861
158ba83b6
hex5f610bd

100012221 has 24 divisors (see below), whose sum is σ = 149118840. Its totient is φ = 64544256.

The previous prime is 100012217. The next prime is 100012223. The reversal of 100012221 is 122210001.

It can be written as a sum of positive squares in 4 ways, for example, as 34644996 + 65367225 = 5886^2 + 8085^2 .

It is not a de Polignac number, because 100012221 - 22 = 100012217 is a prime.

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 (100012223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76945 + ... + 78233.

It is an arithmetic number, because the mean of its divisors is an integer number (6213285).

Almost surely, 2100012221 is an apocalyptic number.

It is an amenable number.

100012221 is a deficient number, since it is larger than the sum of its proper divisors (49106619).

100012221 is a wasteful number, since it uses less digits than its factorization.

100012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100012221 is about 10000.6110313320. The cubic root of 100012221 is about 464.1777908768.

Adding to 100012221 its reverse (122210001), we get a palindrome (222222222).

The spelling of 100012221 in words is "one hundred million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 233 333 699 1289 2097 3867 8621 11601 25863 47693 77589 143079 300337 429237 901011 2703033 11112469 33337407 100012221