Search a number
-
+
103011323264 = 272714676359
BaseRepresentation
bin101111111101111110…
…1000000110110000000
3100211220000222102011222
41133323331000312000
53141431344321024
6115153414054212
710304500541423
oct1377375006600
9324800872158
10103011323264
113a76122a913
1217b6a34a368
139938659c25
144db2d739ba
152a2d7b885e
hex17fbf40d80

103011323264 has 64 divisors (see below), whose sum is σ = 206448652800. Its totient is φ = 51197667840.

The previous prime is 103011323263. The next prime is 103011323309. The reversal of 103011323264 is 462323110301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1030113232642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103011323263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16196117 + ... + 16202475.

It is an arithmetic number, because the mean of its divisors is an integer number (3225760200).

Almost surely, 2103011323264 is an apocalyptic number.

It is an amenable number.

103011323264 is an abundant number, since it is smaller than the sum of its proper divisors (103437329536).

103011323264 is an equidigital number, since it uses as much as digits as its factorization.

103011323264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7111 (or 7099 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 103011323264 its reverse (462323110301), we get a palindrome (565334433565).

The spelling of 103011323264 in words is "one hundred three billion, eleven million, three hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 271 467 542 934 1084 1868 2168 3736 4336 6359 7472 8672 12718 14944 17344 25436 29888 34688 50872 59776 101744 126557 203488 253114 406976 506228 813952 1012456 1723289 2024912 2969653 3446578 4049824 5939306 6893156 8099648 11878612 13786312 16199296 23757224 27572624 47514448 55145248 95028896 110290496 190057792 220580992 380115584 804775963 1609551926 3219103852 6438207704 12876415408 25752830816 51505661632 103011323264