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102212412 = 22379137787
BaseRepresentation
bin1100001011110…
…10001100111100
321010022221001220
412011322030330
5202131244122
614050433340
72350535241
oct605721474
9233287056
10102212412
1152772775
122a292850
1318239823
14d8095c8
158e9025c
hex617a33c

102212412 has 48 divisors (see below), whose sum is σ = 243586560. Its totient is φ = 33351552.

The previous prime is 102212387. The next prime is 102212417. The reversal of 102212412 is 214212201.

It is a junction number, because it is equal to n+sod(n) for n = 102212391 and 102212400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212417) 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, 129483 + ... + 130269.

It is an arithmetic number, because the mean of its divisors is an integer number (5074720).

Almost surely, 2102212412 is an apocalyptic number.

102212412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102212412 is an abundant number, since it is smaller than the sum of its proper divisors (141374148).

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

102212412 is a wasteful number, since it uses less digits than its factorization.

102212412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 102212412 is about 10110.0154302553. The cubic root of 102212412 is about 467.5569808629.

Adding to 102212412 its reverse (214212201), we get a palindrome (316424613).

The spelling of 102212412 in words is "one hundred two million, two hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 79 137 158 237 274 316 411 474 548 787 822 948 1574 1644 2361 3148 4722 9444 10823 21646 32469 43292 62173 64938 107819 124346 129876 186519 215638 248692 323457 373038 431276 646914 746076 1293828 8517701 17035402 25553103 34070804 51106206 102212412