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10102212 = 2233891051
BaseRepresentation
bin100110100010…
…010111000100
3201000020122000
4212202113010
510041232322
61000305300
7151603341
oct46422704
921006560
1010102212
11577aa3a
123472230
132129253
1414ad7c8
15d483ac
hex9a25c4

10102212 has 48 divisors (see below), whose sum is σ = 26510400. Its totient is φ = 3326400.

The previous prime is 10102207. The next prime is 10102289. The reversal of 10102212 is 21220101.

Adding to 10102212 its reverse (21220101), we get a palindrome (31322313).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10102194 and 10102203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9087 + ... + 10137.

It is an arithmetic number, because the mean of its divisors is an integer number (552300).

Almost surely, 210102212 is an apocalyptic number.

10102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13255200).

10102212 is an abundant number, since it is smaller than the sum of its proper divisors (16408188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10102212 is a wasteful number, since it uses less digits than its factorization.

10102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10102212 is about 3178.3977095386. The cubic root of 10102212 is about 216.1750124801.

The spelling of 10102212 in words is "ten million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 178 267 356 534 801 1051 1068 1602 2102 2403 3153 3204 4204 4806 6306 9459 9612 12612 18918 28377 37836 56754 93539 113508 187078 280617 374156 561234 841851 1122468 1683702 2525553 3367404 5051106 10102212