Search a number
-
+
10100303010132 = 2233767973500297
BaseRepresentation
bin1001001011111010100011…
…1110010001100101010100
31022202120122111001002211120
42102332220332101211110
52310440410032311012
633252003134403540
72061502632020256
oct222765076214524
938676574032746
1010100303010132
11324457280a115
12117160b0605b0
135835ba67abaa
1426cc00507cd6
15127aeaa8358c
hex92fa8f91954

10100303010132 has 96 divisors (see below), whose sum is σ = 24818848967808. Its totient is φ = 3193614065664.

The previous prime is 10100303010121. The next prime is 10100303010139. The reversal of 10100303010132 is 23101030300101.

10100303010132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101003030101322 (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 (10100303010139) 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, 1135408 + ... + 4635704.

It is an arithmetic number, because the mean of its divisors is an integer number (258529676748).

Almost surely, 210100303010132 is an apocalyptic number.

10100303010132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100303010132 is an abundant number, since it is smaller than the sum of its proper divisors (14718545957676).

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

10100303010132 is a wasteful number, since it uses less digits than its factorization.

10100303010132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500505 (or 3500503 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10100303010132 its reverse (23101030300101), we get a palindrome (33201333310233).

The spelling of 10100303010132 in words is "ten trillion, one hundred billion, three hundred three million, ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 67 74 97 111 134 148 194 201 222 268 291 388 402 444 582 804 1164 2479 3589 4958 6499 7178 7437 9916 10767 12998 14356 14874 19497 21534 25996 29748 38994 43068 77988 240463 480926 721389 961852 1442778 2885556 3500297 7000594 10500891 14001188 21001782 42003564 129510989 234519899 259021978 339528809 388532967 469039798 518043956 679057618 703559697 777065934 938079596 1018586427 1358115236 1407119394 1554131868 2037172854 2814238788 4074345708 8677236263 12562565933 17354472526 22748430203 25125131866 26031708789 34708945052 37687697799 45496860406 50250263732 52063417578 68245290609 75375395598 90993720812 104126835156 136490581218 150750791196 272981162436 841691917511 1683383835022 2525075752533 3366767670044 5050151505066 10100303010132