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10133012232 = 2332725415309
BaseRepresentation
bin10010110111111100…
…10111111100001000
3222011012001100121100
421123332113330020
5131223022342412
64353253341400
7506051116500
oct113376277410
928135040540
1010133012232
11432a904082
121b69637860
13c5641c035
146c1aa8a00
153e48d3edc
hex25bf97f08

10133012232 has 144 divisors (see below), whose sum is σ = 31989192300. Its totient is φ = 2889250560.

The previous prime is 10133012209. The next prime is 10133012237. The reversal of 10133012232 is 23221033101.

10133012232 is a `hidden beast` number, since 101 + 330 + 1 + 2 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8483515236 + 1649496996 = 92106^2 + 40614^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10133012237) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1905994 + ... + 1911302.

Almost surely, 210133012232 is an apocalyptic number.

10133012232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133012232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15994596150).

10133012232 is an abundant number, since it is smaller than the sum of its proper divisors (21856180068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10133012232 is a wasteful number, since it uses less digits than its factorization.

10133012232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5876 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10133012232 its reverse (23221033101), we get a palindrome (33354045333).

The spelling of 10133012232 in words is "ten billion, one hundred thirty-three million, twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 541 588 882 1082 1176 1623 1764 2164 3246 3528 3787 4328 4869 5309 6492 7574 9738 10618 11361 12984 15148 15927 19476 21236 22722 26509 30296 31854 34083 37163 38952 42472 45444 47781 53018 63708 68166 74326 79527 90888 95562 106036 111489 127416 136332 148652 159054 191124 212072 222978 238581 260141 272664 297304 318108 334467 382248 445956 477162 520282 636216 668934 780423 891912 954324 1040564 1337868 1560846 1908648 2081128 2341269 2675736 2872169 3121692 4682538 5744338 6243384 8616507 9365076 11488676 17233014 18730152 20105183 22977352 25849521 34466028 40210366 51699042 60315549 68932056 80420732 103398084 120631098 140736281 160841464 180946647 206796168 241262196 281472562 361893294 422208843 482524392 562945124 723786588 844417686 1125890248 1266626529 1447573176 1688835372 2533253058 3377670744 5066506116 10133012232