Search a number
-
+
102033023232 = 283761311137
BaseRepresentation
bin101111100000110100…
…1000110000100000000
3100202100212010121211110
41133001221012010000
53132430423220412
6114512345443320
710241321246640
oct1370151060400
9322325117743
10102033023232
113a2a9a88598
12179367a0540
139810a79b7a
144d1d074520
1529c2971d3c
hex17c1a46100

102033023232 has 144 divisors (see below), whose sum is σ = 315439171712. Its totient is φ = 28674293760.

The previous prime is 102033023221. The next prime is 102033023233. The reversal of 102033023232 is 232320330201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 102033023199 and 102033023208.

It is not an unprimeable number, because it can be changed into a prime (102033023233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172368 + ... + 483504.

Almost surely, 2102033023232 is an apocalyptic number.

102033023232 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 102033023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157719585856).

102033023232 is an abundant number, since it is smaller than the sum of its proper divisors (213406148480).

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

102033023232 is an equidigital number, since it uses as much as digits as its factorization.

102033023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311224 (or 311210 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 102033023232 its reverse (232320330201), we get a palindrome (334353353433).

The spelling of 102033023232 in words is "one hundred two billion, thirty-three million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 128 168 183 192 224 244 256 336 366 384 427 448 488 672 732 768 854 896 976 1281 1344 1464 1708 1792 1952 2562 2688 2928 3416 3904 5124 5376 5856 6832 7808 10248 11712 13664 15616 20496 23424 27328 40992 46848 54656 81984 109312 163968 311137 327936 622274 933411 1244548 1866822 2177959 2489096 3733644 4355918 4978192 6533877 7467288 8711836 9956384 13067754 14934576 17423672 18979357 19912768 26135508 29869152 34847344 37958714 39825536 52271016 56938071 59738304 69694688 75917428 79651072 104542032 113876142 119476608 132855499 139389376 151834856 209084064 227752284 238953216 265710998 278778752 303669712 398566497 418168128 455504568 531421996 557557504 607339424 797132994 836336256 911009136 1062843992 1214678848 1594265988 1672672512 1822018272 2125687984 2429357696 3188531976 3644036544 4251375968 4858715392 6377063952 7288073088 8502751936 12754127904 14576146176 17005503872 25508255808 34011007744 51016511616 102033023232