Search a number
-
+
10105211603552 = 251333173387837
BaseRepresentation
bin1001001100001100110110…
…0011000100101001100000
31022210001022120102111010212
42103003031203010221200
52311030433132303202
633254134202513252
72062035364253252
oct223031543045140
938701276374125
1010105211603552
113246661564a9a
12117255ab05828
13583bc05b4540
1426d1483b3cd2
15127cd6981652
hex930cd8c4a60

10105211603552 has 48 divisors (see below), whose sum is σ = 21489720274512. Its totient is φ = 4649853288960.

The previous prime is 10105211603533. The next prime is 10105211603561. The reversal of 10105211603552 is 25530611250101.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36556223 + ... + 36831614.

It is an arithmetic number, because the mean of its divisors is an integer number (447702505719).

Almost surely, 210105211603552 is an apocalyptic number.

It is an amenable number.

10105211603552 is an abundant number, since it is smaller than the sum of its proper divisors (11384508670960).

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

10105211603552 is a wasteful number, since it uses less digits than its factorization.

10105211603552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73388191 (or 73388183 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 32.

Adding to 10105211603552 its reverse (25530611250101), we get a palindrome (35635822853653).

The spelling of 10105211603552 in words is "ten trillion, one hundred five billion, two hundred eleven million, six hundred three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 331 416 662 1324 2648 4303 5296 8606 10592 17212 34424 68848 137696 73387837 146775674 293551348 587102696 954041881 1174205392 1908083762 2348410784 3816167524 7632335048 15264670096 24291374047 30529340192 48582748094 97165496188 194330992376 315787862611 388661984752 631575725222 777323969504 1263151450444 2526302900888 5052605801776 10105211603552