Search a number
-
+
100023320232 = 233311291451633
BaseRepresentation
bin101110100100111011…
…0101011111010101000
3100120011210112010121000
41131021312223322220
53114321432221412
6113541114515000
710140446123343
oct1351166537250
9316153463530
10100023320232
1139468613a20
1217475735a60
1395805b61b4
144bac1b145a
1529062e44dc
hex1749dabea8

100023320232 has 128 divisors (see below), whose sum is σ = 313552944000. Its totient is φ = 29264901120.

The previous prime is 100023320231. The next prime is 100023320233. The reversal of 100023320232 is 232023320001.

It is a happy number.

100023320232 is a `hidden beast` number, since 100 + 0 + 2 + 332 + 0 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (100023320231) and next prime (100023320233).

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 (100023320231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656913 + ... + 794720.

It is an arithmetic number, because the mean of its divisors is an integer number (2449632375).

Almost surely, 2100023320232 is an apocalyptic number.

100023320232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100023320232 is an abundant number, since it is smaller than the sum of its proper divisors (213529623768).

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

100023320232 is a wasteful number, since it uses less digits than its factorization.

100023320232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451688 (or 1451678 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 100023320232 its reverse (232023320001), we get a palindrome (332046640233).

The spelling of 100023320232 in words is "one hundred billion, twenty-three million, three hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 29 33 36 44 54 58 66 72 87 88 99 108 116 132 174 198 216 232 261 264 297 319 348 396 522 594 638 696 783 792 957 1044 1188 1276 1566 1914 2088 2376 2552 2871 3132 3828 5742 6264 7656 8613 11484 17226 22968 34452 68904 1451633 2903266 4354899 5806532 8709798 11613064 13064697 15967963 17419596 26129394 31935926 34839192 39194091 42097357 47903889 52258788 63871852 78388182 84194714 95807778 104517576 126292071 127743704 143711667 156776364 168389428 191615556 252584142 287423334 313552728 336778856 378876213 383231112 431135001 463070927 505168284 574846668 757752426 862270002 926141854 1010336568 1136628639 1149693336 1389212781 1515504852 1724540004 1852283708 2273257278 2778425562 3031009704 3449080008 3704567416 4167638343 4546514556 5556851124 8335276686 9093029112 11113702248 12502915029 16670553372 25005830058 33341106744 50011660116 100023320232