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10214333652 = 22317198872971
BaseRepresentation
bin10011000001101001…
…00101110011010100
3222100212001220121210
421200310211303110
5131404332134102
64405320341420
7511056255255
oct114064456324
928325056553
1010214333652
1143717a8066
121b90914870
13c6a222a13
146cc7d6b2c
153ebae936c
hex260d25cd4

10214333652 has 96 divisors (see below), whose sum is σ = 26602490880. Its totient is φ = 3031395840.

The previous prime is 10214333639. The next prime is 10214333699. The reversal of 10214333652 is 25633341201.

It is a super-2 number, since 2×102143336522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3436527 + ... + 3439497.

It is an arithmetic number, because the mean of its divisors is an integer number (277109280).

Almost surely, 210214333652 is an apocalyptic number.

10214333652 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 10214333652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13301245440).

10214333652 is an abundant number, since it is smaller than the sum of its proper divisors (16388157228).

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

10214333652 is a wasteful number, since it uses less digits than its factorization.

10214333652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 10214333652 its reverse (25633341201), we get a palindrome (35847674853).

The spelling of 10214333652 in words is "ten billion, two hundred fourteen million, three hundred thirty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 887 969 1292 1774 1938 2661 2971 3548 3876 5322 5942 8913 10644 11884 15079 16853 17826 30158 33706 35652 45237 50507 50559 56449 60316 67412 90474 101014 101118 112898 151521 169347 180948 202028 202236 225796 286501 303042 338694 573002 606084 677388 859503 959633 1146004 1719006 1919266 2635277 2878899 3438012 3838532 5270554 5757798 7905831 10541108 11515596 15811662 31623324 44799709 50070263 89599418 100140526 134399127 150210789 179198836 200281052 268798254 300421578 537596508 600843156 851194471 1702388942 2553583413 3404777884 5107166826 10214333652