Search a number
-
+
13100033100231 = 3271167347813083
BaseRepresentation
bin1011111010100001011011…
…0100011100100111000111
31201101100110211102112111200
42332220112310130213013
53204112331433201411
643510023325033543
72521306014050130
oct276502664344707
951340424375450
1013100033100231
1141a0769193560
121576a5a6b58b3
137404352b6c9c
1433408b620c87
1517ab6675de56
hexbea16d1c9c7

13100033100231 has 96 divisors (see below), whose sum is σ = 24012543080448. Its totient is φ = 6684314598720.

The previous prime is 13100033100199. The next prime is 13100033100257. The reversal of 13100033100231 is 13200133000131.

It is a happy number.

13100033100231 is a `hidden beast` number, since 1 + 3 + 100 + 0 + 331 + 0 + 0 + 231 = 666.

It is not a de Polignac number, because 13100033100231 - 25 = 13100033100199 is a prime.

It is a super-2 number, since 2×131000331002312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100033100281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15705016 + ... + 16518098.

It is an arithmetic number, because the mean of its divisors is an integer number (250130657088).

Almost surely, 213100033100231 is an apocalyptic number.

13100033100231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13100033100231 is a deficient number, since it is larger than the sum of its proper divisors (10912509980217).

13100033100231 is a wasteful number, since it uses less digits than its factorization.

13100033100231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813521 (or 813518 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13100033100231 its reverse (13200133000131), we get a palindrome (26300166100362).

The spelling of 13100033100231 in words is "thirteen trillion, one hundred billion, thirty-three million, one hundred thousand, two hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 63 67 77 99 201 231 347 469 603 693 737 1041 1407 2211 2429 3123 3817 4221 5159 6633 7287 11451 15477 21861 23249 26719 34353 46431 69747 80157 162743 209241 240471 255739 488229 767217 813083 1464687 1790173 2301651 2439249 5370519 5691581 7317747 8943913 16111557 17074743 26831739 51224229 54476561 62607391 80495217 163429683 187822173 282139801 381335927 490289049 563466519 599242171 846419403 1144007781 1797726513 1974978607 2539258209 3103537811 3432023343 4194695197 5393179539 5924935821 9310613433 12584085591 17774807463 18903366667 21724764677 27931840299 37752256773 56710100001 65174294031 132323566669 170130300003 195522882093 207937033337 396970700007 623811100011 1190912100021 1455559233359 1871433300033 4366677700077 13100033100231