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102210210120 = 23354395473547
BaseRepresentation
bin101111100110000110…
…1000000100101001000
3100202211012112122112210
41133030031000211020
53133311303210440
6114542115305120
710245602310534
oct1371415004510
9322735478483
10102210210120
113a38aaa9737
1217985bab1a0
13983b6a7495
144d387d8bc4
1529d32c1a80
hex17cc340948

102210210120 has 128 divisors (see below), whose sum is σ = 307977753600. Its totient is φ = 27136601856.

The previous prime is 102210210119. The next prime is 102210210149. The reversal of 102210210120 is 21012012201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102210210096 and 102210210105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28814187 + ... + 28817733.

It is an arithmetic number, because the mean of its divisors is an integer number (2406076200).

Almost surely, 2102210210120 is an apocalyptic number.

102210210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210210120 is an abundant number, since it is smaller than the sum of its proper divisors (205767543480).

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

102210210120 is a wasteful number, since it uses less digits than its factorization.

102210210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4547 (or 4543 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102210210120 its reverse (21012012201), we get a palindrome (123222222321).

The spelling of 102210210120 in words is "one hundred two billion, two hundred ten million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 439 547 878 1094 1317 1641 1756 2188 2195 2634 2735 3282 3512 3547 4376 4390 5268 5470 6564 6585 7094 8205 8780 10536 10641 10940 13128 13170 14188 16410 17560 17735 21282 21880 26340 28376 32820 35470 42564 52680 53205 65640 70940 85128 106410 141880 212820 240133 425640 480266 720399 960532 1200665 1440798 1557133 1921064 1940209 2401330 2881596 3114266 3601995 3880418 4671399 4802660 5763192 5820627 6228532 7203990 7760836 7785665 9342798 9605320 9701045 11641254 12457064 14407980 15521672 15571330 18685596 19402090 23282508 23356995 28815960 29103135 31142660 37371192 38804180 46565016 46713990 58206270 62285320 77608360 93427980 116412540 186855960 232825080 851751751 1703503502 2555255253 3407007004 4258758755 5110510506 6814014008 8517517510 10221021012 12776276265 17035035020 20442042024 25552552530 34070070040 51105105060 102210210120