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109393201 = 3773101401
BaseRepresentation
bin1101000010100…
…11010100110001
321121211202021001
412201103110301
5211001040301
614504402001
72465553421
oct641232461
9247752231
10109393201
1156827805
1230776301
1319882108
1410758481
15990cc01
hex6853531

109393201 has 16 divisors (see below), whose sum is σ = 115303248. Its totient is φ = 103680000.

The previous prime is 109393199. The next prime is 109393211. The reversal of 109393201 is 102393901.

It can be written as a sum of positive squares in 8 ways, for example, as 66830625 + 42562576 = 8175^2 + 6524^2 .

It is a 3-Lehmer number, since φ(109393201) divides (109393201-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 109393201 - 21 = 109393199 is a prime.

It is a deceptive number, since it divides R109393200.

It is a self number, because there is not a number n which added to its sum of digits gives 109393201.

It is not an unprimeable number, because it can be changed into a prime (109393211) 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, 272601 + ... + 273001.

It is an arithmetic number, because the mean of its divisors is an integer number (7206453).

It is a Poulet number, since it divides 2109393200-1.

Almost surely, 2109393201 is an apocalyptic number.

It is an amenable number.

109393201 is a deficient number, since it is larger than the sum of its proper divisors (5910047).

109393201 is a wasteful number, since it uses less digits than its factorization.

109393201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612.

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 109393201 is about 10459.1204697145. The cubic root of 109393201 is about 478.2593216583.

The spelling of 109393201 in words is "one hundred nine million, three hundred ninety-three thousand, two hundred one".

Divisors: 1 37 73 101 401 2701 3737 7373 14837 29273 40501 272801 1083101 1498537 2956573 109393201