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101013313345 = 57131131916703
BaseRepresentation
bin101111000010011011…
…1001101011101000001
3100122201210100222211121
41132010313031131001
53123333402011340
6114223241512241
710204126665550
oct1360467153501
9318653328747
10101013313345
113992642244a
12176b11a2681
1396aa72b639
144c63875d97
15296319a94a
hex1784dcd741

101013313345 has 32 divisors (see below), whose sum is σ = 139704238080. Its totient is φ = 68681296320.

The previous prime is 101013313327. The next prime is 101013313367. The reversal of 101013313345 is 543313310101.

It is not a de Polignac number, because 101013313345 - 29 = 101013312833 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6039264 + ... + 6055966.

It is an arithmetic number, because the mean of its divisors is an integer number (4365757440).

Almost surely, 2101013313345 is an apocalyptic number.

It is an amenable number.

101013313345 is a deficient number, since it is larger than the sum of its proper divisors (38690924735).

101013313345 is a wasteful number, since it uses less digits than its factorization.

101013313345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18165.

The product of its (nonzero) digits is 1620, while the sum is 25.

Adding to 101013313345 its reverse (543313310101), we get a palindrome (644326623446).

The spelling of 101013313345 in words is "one hundred one billion, thirteen million, three hundred thirteen thousand, three hundred forty-five".

Divisors: 1 5 7 35 131 655 917 1319 4585 6595 9233 16703 46165 83515 116921 172789 584605 863945 1209523 2188093 6047615 10940465 15316651 22031257 76583255 110156285 154218799 771093995 2886094667 14430473335 20202662669 101013313345