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106253313 = 31011732027
BaseRepresentation
bin1100101010101…
…00110000000001
321101221020010220
412111110300001
5204200101223
614313213253
72430065265
oct625246001
9241836126
10106253313
1154a82761
122b701229
1319022baa
141017c0a5
1594dc6e3
hex6554c01

106253313 has 16 divisors (see below), whose sum is σ = 143971776. Its totient is φ = 69694400.

The previous prime is 106253311. The next prime is 106253333. The reversal of 106253313 is 313352601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106253313 - 21 = 106253311 is a prime.

It is a super-2 number, since 2×1062533132 = 22579533046951938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106253311) 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, 51406 + ... + 53432.

It is an arithmetic number, because the mean of its divisors is an integer number (8998236).

Almost surely, 2106253313 is an apocalyptic number.

It is an amenable number.

106253313 is a deficient number, since it is larger than the sum of its proper divisors (37718463).

106253313 is a wasteful number, since it uses less digits than its factorization.

106253313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 106253313 is about 10307.9247668966. The cubic root of 106253313 is about 473.6390413648.

The spelling of 106253313 in words is "one hundred six million, two hundred fifty-three thousand, three hundred thirteen".

Divisors: 1 3 101 173 303 519 2027 6081 17473 52419 204727 350671 614181 1052013 35417771 106253313