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100222101 = 3272317331
BaseRepresentation
bin1011111100101…
…00010010010101
320222120210212200
411332110102111
5201124101401
613540035113
72324605500
oct576242225
9228523780
10100222101
1151633391
1229692a99
13179c0925
14d44c137
158bea686
hex5f94495

100222101 has 36 divisors (see below), whose sum is σ = 173856384. Its totient is φ = 55414800.

The previous prime is 100222097. The next prime is 100222103. The reversal of 100222101 is 101222001.

It is not a de Polignac number, because 100222101 - 22 = 100222097 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 (100222103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10006 + ... + 17336.

It is an arithmetic number, because the mean of its divisors is an integer number (4829344).

Almost surely, 2100222101 is an apocalyptic number.

It is an amenable number.

100222101 is a deficient number, since it is larger than the sum of its proper divisors (73634283).

100222101 is a wasteful number, since it uses less digits than its factorization.

100222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7382 (or 7372 counting only the distinct ones).

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

The square root of 100222101 is about 10011.0988907312. The cubic root of 100222101 is about 464.5022631105.

Adding to 100222101 its reverse (101222001), we get a palindrome (201444102).

The spelling of 100222101 in words is "one hundred million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 3 7 9 21 31 49 63 93 147 217 279 441 651 1519 1953 4557 7331 13671 21993 51317 65979 153951 227261 359219 461853 681783 1077657 1590827 2045349 3232971 4772481 11135789 14317443 33407367 100222101