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102233333220 = 223537210112323
BaseRepresentation
bin101111100110110010…
…1001101110111100100
3100202212211001102110220
41133031211031313210
53133333213130340
6114544303044340
710246302665034
oct1371545156744
9322784042426
10102233333220
113a3a2062437
12179918a06b0
1398434122a5
144d3b8d78c4
1529d533ced0
hex17cd94dde4

102233333220 has 144 divisors (see below), whose sum is σ = 297135978048. Its totient is φ = 26260646400.

The previous prime is 102233333201. The next prime is 102233333227. The reversal of 102233333220 is 22333332201.

102233333220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102233333227) 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, 8289979 + ... + 8302301.

It is an arithmetic number, because the mean of its divisors is an integer number (2063444292).

Almost surely, 2102233333220 is an apocalyptic number.

102233333220 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 102233333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148567989024).

102233333220 is an abundant number, since it is smaller than the sum of its proper divisors (194902644828).

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

102233333220 is a wasteful number, since it uses less digits than its factorization.

102233333220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12510 (or 12471 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 102233333220 its reverse (22333332201), we get a palindrome (124566665421).

The spelling of 102233333220 in words is "one hundred two billion, two hundred thirty-three million, three hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 101 111 148 185 202 222 303 370 404 444 505 555 606 740 1010 1110 1212 1369 1515 2020 2220 2738 3030 3737 4107 5476 6060 6845 7474 8214 11211 12323 13690 14948 16428 18685 20535 22422 24646 27380 36969 37370 41070 44844 49292 56055 61615 73938 74740 82140 112110 123230 138269 147876 184845 224220 246460 276538 369690 414807 455951 553076 691345 739380 829614 911902 1244623 1367853 1382690 1659228 1823804 2074035 2279755 2489246 2735706 2765380 3733869 4148070 4559510 4978492 5471412 6223115 6839265 7467738 8296140 9119020 12446230 13678530 14935476 16870187 18669345 24892460 27357060 33740374 37338690 46051051 50610561 67480748 74677380 84350935 92102102 101221122 138153153 168701870 184204204 202442244 230255255 253052805 276306306 337403740 460510510 506105610 552612612 690765765 921021020 1012211220 1381531530 1703888887 2763063060 3407777774 5111666661 6815555548 8519444435 10223333322 17038888870 20446666644 25558333305 34077777740 51116666610 102233333220