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102032330220 = 223254159923081
BaseRepresentation
bin101111100000110011…
…0011100110111101100
3100202100210211102012100
41133001212130313230
53132430234031340
6114512322535100
710241312332332
oct1370146346754
9322323742170
10102032330220
113a2a9654957
1217936507490
1398108965c2
144d1cd33b52
1529c2886830
hex17c199cdec

102032330220 has 144 divisors (see below), whose sum is σ = 317589854400. Its totient is φ = 26499532800.

The previous prime is 102032330201. The next prime is 102032330249. The reversal of 102032330220 is 22033230201.

It is a happy number.

102032330220 is a `hidden beast` number, since 1 + 0 + 20 + 323 + 302 + 20 = 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 = 102032330193 and 102032330202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4409080 + ... + 4432160.

It is an arithmetic number, because the mean of its divisors is an integer number (2205485100).

Almost surely, 2102032330220 is an apocalyptic number.

102032330220 is a gapful number since it is divisible by the number (10) 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 102032330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158794927200).

102032330220 is an abundant number, since it is smaller than the sum of its proper divisors (215557524180).

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

102032330220 is a wasteful number, since it uses less digits than its factorization.

102032330220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23736 (or 23731 counting only the distinct ones).

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

Adding to 102032330220 its reverse (22033230201), we get a palindrome (124065560421).

The spelling of 102032330220 in words is "one hundred two billion, thirty-two million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 599 615 738 820 1198 1230 1476 1797 1845 2396 2460 2995 3594 3690 5391 5990 7188 7380 8985 10782 11980 17970 21564 23081 24559 26955 35940 46162 49118 53910 69243 73677 92324 98236 107820 115405 122795 138486 147354 207729 221031 230810 245590 276972 294708 346215 368385 415458 442062 461620 491180 692430 736770 830916 884124 946321 1038645 1105155 1384860 1473540 1892642 2077290 2210310 2838963 3785284 4154580 4420620 4731605 5677926 8516889 9463210 11355852 13825519 14194815 17033778 18926420 27651038 28389630 34067556 41476557 42584445 55302076 56779260 69127595 82953114 85168890 124429671 138255190 165906228 170337780 207382785 248859342 276510380 414765570 497718684 566846279 622148355 829531140 1133692558 1244296710 1700538837 2267385116 2488593420 2834231395 3401077674 5101616511 5668462790 6802155348 8502694185 10203233022 11336925580 17005388370 20406466044 25508082555 34010776740 51016165110 102032330220