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10102414 = 2719163233
BaseRepresentation
bin100110100010…
…011010001110
3201000020220111
4212202122032
510041234124
61000310234
7151604050
oct46423216
921006814
1010102414
115780103
12347237a
13212937a
1414ad8d0
15d48494
hex9a268e

10102414 has 32 divisors (see below), whose sum is σ = 18420480. Its totient is φ = 4059072.

The previous prime is 10102387. The next prime is 10102423. The reversal of 10102414 is 41420101.

It is a junction number, because it is equal to n+sod(n) for n = 10102394 and 10102403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43242 + ... + 43474.

It is an arithmetic number, because the mean of its divisors is an integer number (575640).

Almost surely, 210102414 is an apocalyptic number.

10102414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10102414 is a deficient number, since it is larger than the sum of its proper divisors (8318066).

10102414 is a wasteful number, since it uses less digits than its factorization.

10102414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 10102414 is about 3178.4294863973. The cubic root of 10102414 is about 216.1764533216.

Adding to 10102414 its reverse (41420101), we get a palindrome (51522515).

The spelling of 10102414 in words is "ten million, one hundred two thousand, four hundred fourteen".

Divisors: 1 2 7 14 19 38 133 163 233 266 326 466 1141 1631 2282 3097 3262 4427 6194 8854 21679 30989 37979 43358 61978 75958 265853 531706 721601 1443202 5051207 10102414