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100742381 is a prime number
BaseRepresentation
bin1100000000100…
…11010011101101
321000120020120022
412000103103231
5201242224011
613555131525
72332203365
oct600232355
9230506508
10100742381
1151959273
12298a3ba5
1317b4369c
14d5459a5
158c9e8db
hex60134ed

100742381 has 2 divisors, whose sum is σ = 100742382. Its totient is φ = 100742380.

The previous prime is 100742321. The next prime is 100742401. The reversal of 100742381 is 183247001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56400100 + 44342281 = 7510^2 + 6659^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100742381 is a prime.

It is a super-2 number, since 2×1007423812 = 20298054659098322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100742381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100742311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50371190 + 50371191.

It is an arithmetic number, because the mean of its divisors is an integer number (50371191).

Almost surely, 2100742381 is an apocalyptic number.

It is an amenable number.

100742381 is a deficient number, since it is larger than the sum of its proper divisors (1).

100742381 is an equidigital number, since it uses as much as digits as its factorization.

100742381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 100742381 is about 10037.0504133436. The cubic root of 100742381 is about 465.3046617944.

Adding to 100742381 its reverse (183247001), we get a palindrome (283989382).

The spelling of 100742381 in words is "one hundred million, seven hundred forty-two thousand, three hundred eighty-one".