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100213037 is a prime number
BaseRepresentation
bin1011111100100…
…10000100101101
320222120100102222
411332102010231
5201123304122
613535525125
72324540201
oct576220455
9228510388
10100213037
11516275a1
12296897a5
13179b9772
14d448b01
158be7b42
hex5f9212d

100213037 has 2 divisors, whose sum is σ = 100213038. Its totient is φ = 100213036.

The previous prime is 100213031. The next prime is 100213073. The reversal of 100213037 is 730312001.

Together with next prime (100213073) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91278916 + 8934121 = 9554^2 + 2989^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100213037 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100213031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106518 + 50106519.

It is an arithmetic number, because the mean of its divisors is an integer number (50106519).

Almost surely, 2100213037 is an apocalyptic number.

It is an amenable number.

100213037 is a deficient number, since it is larger than the sum of its proper divisors (1).

100213037 is an equidigital number, since it uses as much as digits as its factorization.

100213037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 100213037 is about 10010.6461829394. The cubic root of 100213037 is about 464.4882596276.

Adding to 100213037 its reverse (730312001), we get a palindrome (830525038).

The spelling of 100213037 in words is "one hundred million, two hundred thirteen thousand, thirty-seven".