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102420213 = 3710347351
BaseRepresentation
bin1100001101011…
…00111011110101
321010201111010020
412012230323311
5202204421323
614055115353
72352362130
oct606547365
9233644106
10102420213
11528a4905
122a372b59
13182b029c
14d861217
158ed1ae3
hex61acef5

102420213 has 16 divisors (see below), whose sum is σ = 157587456. Its totient is φ = 57956400.

The previous prime is 102420211. The next prime is 102420217. The reversal of 102420213 is 312024201.

It is not a de Polignac number, because 102420213 - 21 = 102420211 is a prime.

It is a super-3 number, since 3×1024202133 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102420192 and 102420201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102420211) 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, 21513 + ... + 25838.

It is an arithmetic number, because the mean of its divisors is an integer number (9849216).

Almost surely, 2102420213 is an apocalyptic number.

It is an amenable number.

102420213 is a deficient number, since it is larger than the sum of its proper divisors (55167243).

102420213 is a wasteful number, since it uses less digits than its factorization.

102420213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47464.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 102420213 is about 10120.2871994820. The cubic root of 102420213 is about 467.8736189902.

Adding to 102420213 its reverse (312024201), we get a palindrome (414444414).

The spelling of 102420213 in words is "one hundred two million, four hundred twenty thousand, two hundred thirteen".

Divisors: 1 3 7 21 103 309 721 2163 47351 142053 331457 994371 4877153 14631459 34140071 102420213