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102021114 = 231317471637
BaseRepresentation
bin1100001010010…
…11011111111010
321002222012122210
412011023133322
5202104133424
614042355550
72346110436
oct605133772
9232865583
10102021114
1152651a78
122a1bbbb6
13181a0730
14d7999c6
158e53729
hex614b7fa

102021114 has 64 divisors (see below), whose sum is σ = 237758976. Its totient is φ = 28898304.

The previous prime is 102021113. The next prime is 102021133. The reversal of 102021114 is 411120201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102021114.

It is not an unprimeable number, because it can be changed into a prime (102021113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61504 + ... + 63140.

It is an arithmetic number, because the mean of its divisors is an integer number (3714984).

Almost surely, 2102021114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102021114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118879488).

102021114 is an abundant number, since it is smaller than the sum of its proper divisors (135737862).

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

102021114 is a wasteful number, since it uses less digits than its factorization.

102021114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 102021114 is about 10100.5501830346. The cubic root of 102021114 is about 467.2651096795.

Adding to 102021114 its reverse (411120201), we get a palindrome (513141315).

The spelling of 102021114 in words is "one hundred two million, twenty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 47 51 78 94 102 141 221 282 442 611 663 799 1222 1326 1598 1637 1833 2397 3274 3666 4794 4911 9822 10387 20774 21281 27829 31161 42562 55658 62322 63843 76939 83487 127686 153878 166974 230817 361777 461634 723554 1000207 1085331 1307963 2000414 2170662 2615926 3000621 3923889 6001242 7847778 17003519 34007038 51010557 102021114