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126938201 = 1317613937
BaseRepresentation
bin1111001000011…
…10110001011001
322211212010110212
413210032301121
5224444010301
620332420505
73100646135
oct744166131
9284763425
10126938201
1165720605
1236617735
13203b5c80
1412c043c5
15b2264bb
hex790ec59

126938201 has 16 divisors (see below), whose sum is σ = 145134864. Its totient is φ = 109983744.

The previous prime is 126938197. The next prime is 126938209. The reversal of 126938201 is 102839621.

It can be written as a sum of positive squares in 8 ways, for example, as 51265600 + 75672601 = 7160^2 + 8699^2 .

It is not a de Polignac number, because 126938201 - 22 = 126938197 is a prime.

It is a super-2 number, since 2×1269382012 = 32226613746232802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126938209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135005 + ... + 135941.

It is an arithmetic number, because the mean of its divisors is an integer number (9070929).

Almost surely, 2126938201 is an apocalyptic number.

It is an amenable number.

126938201 is a deficient number, since it is larger than the sum of its proper divisors (18196663).

126938201 is a wasteful number, since it uses less digits than its factorization.

126938201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580.

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 126938201 is about 11266.6854487023. The cubic root of 126938201 is about 502.5710250010.

The spelling of 126938201 in words is "one hundred twenty-six million, nine hundred thirty-eight thousand, two hundred one".

Divisors: 1 13 17 221 613 937 7969 10421 12181 15929 135473 207077 574381 7466953 9764477 126938201