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100310323211231 = 7131397465759167
BaseRepresentation
bin10110110011101101010001…
…001011101010101111011111
3111011011120110220012000121112
4112303231101023222233133
5101121441020220224411
6553201532030052235
730062116215001430
oct2663552113525737
9434146426160545
10100310323211231
1129a64407405901
12b30099034a07b
1343c82b88c8a63
141aab08cdad487
15b8e47d3d2b8b
hex5b3b512eabdf

100310323211231 has 32 divisors (see below), whose sum is σ = 115833282588672. Its totient is φ = 85089303636480.

The previous prime is 100310323211039. The next prime is 100310323211269. The reversal of 100310323211231 is 132112323013001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100310323211231 is a prime.

It is a super-2 number, since 2×1003103232112312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100310323211197 and 100310323211206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100310323241231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1695346610 + ... + 1695405776.

It is an arithmetic number, because the mean of its divisors is an integer number (3619790080896).

Almost surely, 2100310323211231 is an apocalyptic number.

100310323211231 is a deficient number, since it is larger than the sum of its proper divisors (15522959377441).

100310323211231 is a wasteful number, since it uses less digits than its factorization.

100310323211231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64359.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 100310323211231 its reverse (132112323013001), we get a palindrome (232422646224232).

The spelling of 100310323211231 in words is "one hundred trillion, three hundred ten billion, three hundred twenty-three million, two hundred eleven thousand, two hundred thirty-one".

Divisors: 1 7 131 397 917 2779 4657 32599 52007 59167 364049 414169 610067 1848829 4270469 7750877 12941803 23489299 54256139 164425093 242196599 275540719 1695376193 1928785033 3077098169 21539687183 36095834189 109389665443 252670839323 765727658101 14330046173033 100310323211231