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102424212 = 2232111913613
BaseRepresentation
bin1100001101011…
…01111010010100
321010201200121100
412012231322110
5202210033322
614055150100
72352406602
oct606557224
9233650540
10102424212
11528a7910
122a375330
13182b2057
14d862872
158ed2dac
hex61ade94

102424212 has 72 divisors (see below), whose sum is σ = 297329760. Its totient is φ = 29401920.

The previous prime is 102424207. The next prime is 102424213. The reversal of 102424212 is 212424201.

102424212 is a `hidden beast` number, since 1 + 0 + 242 + 421 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102424213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 718 + ... + 14330.

It is an arithmetic number, because the mean of its divisors is an integer number (4129580).

Almost surely, 2102424212 is an apocalyptic number.

102424212 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 102424212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148664880).

102424212 is an abundant number, since it is smaller than the sum of its proper divisors (194905548).

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

102424212 is a wasteful number, since it uses less digits than its factorization.

102424212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13653 (or 13648 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 102424212 is about 10120.4847709979. The cubic root of 102424212 is about 467.8797082903.

Adding to 102424212 its reverse (212424201), we get a palindrome (314848413).

The spelling of 102424212 in words is "one hundred two million, four hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 13613 27226 40839 54452 81678 122517 149743 163356 245034 258647 299486 449229 490068 517294 598972 775941 898458 1034588 1347687 1551882 1796916 2327823 2695374 2845117 3103764 4655646 5390748 5690234 8535351 9311292 11380468 17070702 25606053 34141404 51212106 102424212