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13110220231101 = 337139887562613
BaseRepresentation
bin1011111011000111011000…
…0001010001000110111101
31201102022202210022101221000
42332301312001101012331
53204244212334343401
643514430234400513
72522116323200130
oct276616601210675
951368683271830
1013110220231101
1141a50165a0784
121578a22290139
137413999a3c86
14334776576217
1517b060c83186
hexbec760511bd

13110220231101 has 64 divisors (see below), whose sum is σ = 22382135193600. Its totient is φ = 7429259953728.

The previous prime is 13110220231079. The next prime is 13110220231123. The reversal of 13110220231101 is 10113202201131.

13110220231101 is a `hidden beast` number, since 1 + 3 + 110 + 220 + 231 + 101 = 666.

It is an interprime number because it is at equal distance from previous prime (13110220231079) and next prime (13110220231123).

It is not a de Polignac number, because 13110220231101 - 26 = 13110220231037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13110220231151) 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 63 ways as a sum of consecutive naturals, for example, 23021071 + ... + 23583683.

It is an arithmetic number, because the mean of its divisors is an integer number (349720862400).

Almost surely, 213110220231101 is an apocalyptic number.

It is an amenable number.

13110220231101 is a deficient number, since it is larger than the sum of its proper divisors (9271914962499).

13110220231101 is a wasteful number, since it uses less digits than its factorization.

13110220231101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563655 (or 563649 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13110220231101 its reverse (10113202201131), we get a palindrome (23223422432232).

The spelling of 13110220231101 in words is "thirteen trillion, one hundred ten billion, two hundred twenty million, two hundred thirty-one thousand, one hundred one".

Divisors: 1 3 7 9 21 27 63 139 189 417 887 973 1251 2661 2919 3753 6209 7983 8757 18627 23949 26271 55881 123293 167643 369879 562613 863051 1109637 1687839 2589153 3328911 3938291 5063517 7767459 11814873 15190551 23302377 35444619 78203207 106333857 234609621 499037731 547422449 703828863 1497113193 1642267347 2111486589 3493264117 4491339579 4926802041 10479792351 13474018737 14780406123 31439377053 69366244609 94318131159 208098733827 485563712263 624296201481 1456691136789 1872888604443 4370073410367 13110220231101