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13101310203233 = 722194312184919
BaseRepresentation
bin1011111010100110001011…
…1100001101010101100001
31201101110202211112002110212
42332221202330031111201
53204122440403000413
643510354145503505
72521352452204400
oct276514274152541
951343684462425
1013101310203233
1141a126407198a
121577156341b95
137405a9a66035
1433416d0a1637
1517abdd929ca8
hexbea62f0d561

13101310203233 has 12 divisors (see below), whose sum is σ = 15240995415360. Its totient is φ = 11229181771752.

The previous prime is 13101310203229. The next prime is 13101310203239. The reversal of 13101310203233 is 33230201310131.

It is not a de Polignac number, because 13101310203233 - 22 = 13101310203229 is a prime.

It is a super-2 number, since 2×131013102032332 (a number of 27 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 = 13101310203199 and 13101310203208.

It is not an unprimeable number, because it can be changed into a prime (13101310203239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5017253 + ... + 7167666.

It is an arithmetic number, because the mean of its divisors is an integer number (1270082951280).

Almost surely, 213101310203233 is an apocalyptic number.

It is an amenable number.

13101310203233 is a deficient number, since it is larger than the sum of its proper divisors (2139685212127).

13101310203233 is a wasteful number, since it uses less digits than its factorization.

13101310203233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12206876 (or 12206869 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13101310203233 its reverse (33230201310131), we get a palindrome (46331511513364).

The spelling of 13101310203233 in words is "thirteen trillion, one hundred one billion, three hundred ten million, two hundred three thousand, two hundred thirty-three".

Divisors: 1 7 49 21943 153601 1075207 12184919 85294433 597061031 267373677617 1871615743319 13101310203233