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133102101231 = 33111930776831
BaseRepresentation
bin111101111110110000…
…0001110001011101111
3110201120010002022112000
41323331200032023233
54140043114214411
6141051331543343
712421252123161
oct1737540161357
9421503068460
10133102101231
11514a2736760
122196775ab53
13c7227870a8
14662948c931
1536e0374956
hex1efd80e2ef

133102101231 has 64 divisors (see below), whose sum is σ = 227176857600. Its totient is φ = 76172335200.

The previous prime is 133102101191. The next prime is 133102101259. The reversal of 133102101231 is 132101201331.

133102101231 is a `hidden beast` number, since 1 + 331 + 0 + 2 + 101 + 231 = 666.

It is not a de Polignac number, because 133102101231 - 234 = 115922232047 is a prime.

It is a super-2 number, since 2×1331021012312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133102101331) 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, 1693986 + ... + 1770816.

It is an arithmetic number, because the mean of its divisors is an integer number (3549638400).

Almost surely, 2133102101231 is an apocalyptic number.

133102101231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133102101231 is a deficient number, since it is larger than the sum of its proper divisors (94074756369).

133102101231 is a wasteful number, since it uses less digits than its factorization.

133102101231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77177 (or 77171 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133102101231 its reverse (132101201331), we get a palindrome (265203302562).

The spelling of 133102101231 in words is "one hundred thirty-three billion, one hundred two million, one hundred one thousand, two hundred thirty-one".

Divisors: 1 3 9 11 19 27 33 57 99 171 209 297 307 513 627 921 1881 2763 3377 5643 5833 8289 10131 17499 30393 52497 64163 76831 91179 157491 192489 230493 577467 691479 845141 1459789 1732401 2074437 2535423 4379367 7606269 13138101 16057679 22818807 23587117 39414303 48173037 70761351 144519111 212284053 259458287 433557333 448155223 636852159 778374861 1344465669 2335124583 4033397007 4929707453 7005373749 12100191021 14789122359 44367367077 133102101231