Search a number
-
+
102032010332 = 22731123795027
BaseRepresentation
bin101111100000110010…
…1001110110001011100
3100202100210020011101122
41133001211032301130
53132430143312312
6114512312030112
710241306530610
oct1370145166134
9322323204348
10102032010332
113a2a945658a
1217936392338
1398107b3b15
144d1cc8d340
1529c2821b72
hex17c194ec5c

102032010332 has 48 divisors (see below), whose sum is σ = 210819237888. Its totient is φ = 42282768960.

The previous prime is 102032010331. The next prime is 102032010341. The reversal of 102032010332 is 233010230201.

It is a super-2 number, since 2×1020320103322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102032010332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102032010331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1026203 + ... + 1121229.

It is an arithmetic number, because the mean of its divisors is an integer number (4392067456).

Almost surely, 2102032010332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102032010332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105409618944).

102032010332 is an abundant number, since it is smaller than the sum of its proper divisors (108787227556).

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

102032010332 is a wasteful number, since it uses less digits than its factorization.

102032010332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96306 (or 96304 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 102032010332 its reverse (233010230201), we get a palindrome (335042240533).

The spelling of 102032010332 in words is "one hundred two billion, thirty-two million, ten thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 1237 2474 4948 8659 17318 34636 38347 76694 95027 153388 190054 268429 380108 536858 665189 1073716 1330378 2660756 2945837 5891674 11783348 20620859 41241718 82483436 117548399 235096798 470193596 822838793 1645677586 3291355172 3644000369 7288000738 14576001476 25508002583 51016005166 102032010332