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10133230032 = 2433411733307
BaseRepresentation
bin10010110111111110…
…01101000111010000
3222011012110102101000
421123333031013100
5131223101330112
64353302142000
7506053014462
oct113377150720
928135412330
1010133230032
11432aa42782
121b69721900
13c56497203
146c1b24132
153e49287dc
hex25bfcd1d0

10133230032 has 160 divisors (see below), whose sum is σ = 29976831360. Its totient is φ = 3275320320.

The previous prime is 10133230021. The next prime is 10133230039. The reversal of 10133230032 is 23003233101.

10133230032 is a `hidden beast` number, since 1 + 0 + 1 + 332 + 300 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10133229987 and 10133230014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133230039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3062523 + ... + 3065829.

It is an arithmetic number, because the mean of its divisors is an integer number (187355196).

Almost surely, 210133230032 is an apocalyptic number.

10133230032 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 10133230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14988415680).

10133230032 is an abundant number, since it is smaller than the sum of its proper divisors (19843601328).

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

10133230032 is a wasteful number, since it uses less digits than its factorization.

10133230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10133230032 its reverse (23003233101), we get a palindrome (33136463133).

The spelling of 10133230032 in words is "ten billion, one hundred thirty-three million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 173 216 246 328 346 369 432 492 519 656 692 738 984 1038 1107 1384 1476 1557 1968 2076 2214 2768 2952 3114 3307 4152 4428 4671 5904 6228 6614 7093 8304 8856 9342 9921 12456 13228 14186 17712 18684 19842 21279 24912 26456 28372 29763 37368 39684 42558 52912 56744 59526 63837 74736 79368 85116 89289 113488 119052 127674 135587 158736 170232 178578 191511 238104 255348 271174 340464 357156 383022 406761 476208 510696 542348 572111 714312 766044 813522 1021392 1084696 1144222 1220283 1428624 1532088 1627044 1716333 2169392 2288444 2440566 3064176 3254088 3432666 3660849 4576888 4881132 5148999 6508176 6865332 7321698 9153776 9762264 10297998 13730664 14643396 15446997 19524528 20595996 23456551 27461328 29286792 30893994 41191992 46913102 58573584 61787988 70369653 82383984 93826204 123575976 140739306 187652408 211108959 247151952 281478612 375304816 422217918 562957224 633326877 844435836 1125914448 1266653754 1688871672 2533307508 3377743344 5066615016 10133230032