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102220103130 = 235233714892689
BaseRepresentation
bin101111100110011001…
…0101111110111011010
3100202211220011021012120
41133030302233313122
53133321321300010
6114543111322110
710246052353245
oct1371462576732
9322756137176
10102220103130
113a395646482
1217989380336
13984075c432
144d39c5225c
1529d40c7e70
hex17cccafdda

102220103130 has 128 divisors (see below), whose sum is σ = 263187878400. Its totient is φ = 25342377984.

The previous prime is 102220103101. The next prime is 102220103149. The reversal of 102220103130 is 31301022201.

102220103130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38012826 + ... + 38015514.

It is an arithmetic number, because the mean of its divisors is an integer number (2056155300).

Almost surely, 2102220103130 is an apocalyptic number.

102220103130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220103130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131593939200).

102220103130 is an abundant number, since it is smaller than the sum of its proper divisors (160967775270).

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

102220103130 is a wasteful number, since it uses less digits than its factorization.

102220103130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102220103130 its reverse (31301022201), we get a palindrome (133521125331).

The spelling of 102220103130 in words is "one hundred two billion, two hundred twenty million, one hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 69 74 111 115 138 185 222 230 345 370 555 690 851 1110 1489 1702 2553 2689 2978 4255 4467 5106 5378 7445 8067 8510 8934 12765 13445 14890 16134 22335 25530 26890 34247 40335 44670 55093 61847 68494 80670 99493 102741 110186 123694 165279 171235 185541 198986 205482 275465 298479 309235 330558 342470 371082 497465 513705 550930 596958 618470 826395 927705 994930 1027410 1267139 1492395 1652790 1855410 2288339 2534278 2984790 3801417 4003921 4576678 6335695 6865017 7602834 8007842 11441695 12011763 12671390 13730034 19007085 20019605 22883390 24023526 34325085 38014170 40039210 60058815 68650170 92090183 120117630 148145077 184180366 276270549 296290154 444435231 460450915 552541098 740725385 888870462 920901830 1381352745 1481450770 2222176155 2762705490 3407336771 4444352310 6814673542 10222010313 17036683855 20444020626 34073367710 51110051565 102220103130