Search a number
-
+
10033232223102 = 23111013074902721
BaseRepresentation
bin1001001000000000101100…
…1111100001101101111110
31022112011112012112002202020
42102000023033201231332
52303341024422114402
633201111522541010
72053606563521154
oct222001317415576
938464465462666
1010033232223102
11321908502a110
121160611207766
1357a18c061c6a
1426987a94d3d4
15125ec26d28bc
hex9200b3e1b7e

10033232223102 has 64 divisors (see below), whose sum is σ = 22179443666688. Its totient is φ = 3000464640000.

The previous prime is 10033232223101. The next prime is 10033232223109. The reversal of 10033232223102 is 20132223233001.

It is a super-2 number, since 2×100332322231022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033232223101) 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, 404899 + ... + 4497822.

It is an arithmetic number, because the mean of its divisors is an integer number (346553807292).

Almost surely, 210033232223102 is an apocalyptic number.

10033232223102 is an abundant number, since it is smaller than the sum of its proper divisors (12146211443586).

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

10033232223102 is a wasteful number, since it uses less digits than its factorization.

10033232223102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4903145.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10033232223102 its reverse (20132223233001), we get a palindrome (30165455456103).

The spelling of 10033232223102 in words is "ten trillion, thirty-three billion, two hundred thirty-two million, two hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 307 606 614 921 1111 1842 2222 3333 3377 6666 6754 10131 20262 31007 62014 93021 186042 341077 682154 1023231 2046462 4902721 9805442 14708163 29416326 53929931 107859862 161789793 323579586 495174821 990349642 1485524463 1505135347 2971048926 3010270694 4515406041 5446923031 9030812082 10893846062 16340769093 16556488817 32681538186 33112977634 49669466451 99338932902 152018670047 304037340094 456056010141 912112020282 1672205370517 3344410741034 5016616111551 10033232223102