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102002323332 = 223721338334841
BaseRepresentation
bin101111011111111001…
…1111110111110000100
3100202021201100220111010
41132333303332332010
53132400043321312
6114505331442220
710240466304600
oct1367763767604
9322251326433
10102002323332
113a29371a278
1217928456370
1398075bb450
144d18d62500
1529bee0a93c
hex17bfcfef84

102002323332 has 144 divisors (see below), whose sum is σ = 298947704832. Its totient is φ = 26830702080.

The previous prime is 102002323331. The next prime is 102002323349. The reversal of 102002323332 is 233323200201.

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 = 102002323299 and 102002323308.

It is not an unprimeable number, because it can be changed into a prime (102002323331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2910232 + ... + 2945072.

It is an arithmetic number, because the mean of its divisors is an integer number (2076025728).

Almost surely, 2102002323332 is an apocalyptic number.

102002323332 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 102002323332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149473852416).

102002323332 is an abundant number, since it is smaller than the sum of its proper divisors (196945381500).

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

102002323332 is a wasteful number, since it uses less digits than its factorization.

102002323332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35258 (or 35249 counting only the distinct ones).

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

Adding to 102002323332 its reverse (233323200201), we get a palindrome (335325523533).

The spelling of 102002323332 in words is "one hundred two billion, two million, three hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 383 546 588 637 766 1092 1149 1274 1532 1911 2298 2548 2681 3822 4596 4979 5362 7644 8043 9958 10724 14937 16086 18767 19916 29874 32172 34841 34853 37534 56301 59748 69682 69706 75068 104523 104559 112602 139364 139412 209046 209118 225204 243887 243971 418092 418236 452933 487774 487942 731661 731913 905866 975548 975884 1358799 1463322 1463826 1707209 1811732 2717598 2926644 2927652 3170531 3414418 5121627 5435196 6341062 6828836 9511593 10243254 12682124 13344103 19023186 20486508 22193717 26688206 38046372 40032309 44387434 53376412 66581151 80064618 88774868 93408721 133162302 160129236 173473339 186817442 266324604 280226163 346946678 373634884 520420017 560452326 653861047 693893356 1040840034 1120904652 1214313373 1307722094 1961583141 2081680068 2428626746 2615444188 3642940119 3923166282 4857253492 7285880238 7846332564 8500193611 14571760476 17000387222 25500580833 34000774444 51001161666 102002323332