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101323334002331 = 71138091027315413
BaseRepresentation
bin10111000010011100101101…
…010101001010011010011011
3111021202102020100201010011102
4113002130231111022122123
5101240040142001033311
6555255144055022015
730225240446441150
oct2702345525123233
9437672210633142
10101323334002331
112a314a91606711
12b44518366a90b
13446c998573c4c
141b0410b390227
15baa9bbecd43b
hex5c272d54a69b

101323334002331 has 32 divisors (see below), whose sum is σ = 116986237441920. Its totient is φ = 85959651262464.

The previous prime is 101323334002309. The next prime is 101323334002339. The reversal of 101323334002331 is 133200433323101.

It is a de Polignac number, because none of the positive numbers 2k-101323334002331 is a prime.

It is a super-2 number, since 2×1013233340023312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101323334002294 and 101323334002303.

It is not an unprimeable number, because it can be changed into a prime (101323334002339) 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, 6573880181 + ... + 6573895593.

It is an arithmetic number, because the mean of its divisors is an integer number (3655819920060).

Almost surely, 2101323334002331 is an apocalyptic number.

101323334002331 is a deficient number, since it is larger than the sum of its proper divisors (15662903439589).

101323334002331 is a wasteful number, since it uses less digits than its factorization.

101323334002331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26615.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 101323334002331 its reverse (133200433323101), we get a palindrome (234523767325432).

The spelling of 101323334002331 in words is "one hundred one trillion, three hundred twenty-three billion, three hundred thirty-four million, two thousand, three hundred thirty-one".

Divisors: 1 7 113 791 809 5663 10273 15413 71911 91417 107891 639919 1160849 1741669 8125943 8310857 12191683 12469117 58175999 87283819 158337749 939126841 1108364243 1409010221 6573887887 9863071547 17892165637 125245159459 128095238941 896666672587 14474762000333 101323334002331