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10100002201220 = 22531257272923227
BaseRepresentation
bin1001001011111001011100…
…0010110001111010000100
31022202112212112000102120202
42102332113002301322010
52310434301030414340
633251513231150032
72061462320131331
oct222762702617204
938675775012522
1010100002201220
113244428a32a08
121171546375318
13583570258b59
1426cbb25a3988
15127ace464c15
hex92f970b1e84

10100002201220 has 96 divisors (see below), whose sum is σ = 21988390394880. Its totient is φ = 3892870840320.

The previous prime is 10100002201213. The next prime is 10100002201291. The reversal of 10100002201220 is 2210220000101.

It is a happy number.

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, 434827247 + ... + 434850473.

It is an arithmetic number, because the mean of its divisors is an integer number (229045733280).

Almost surely, 210100002201220 is an apocalyptic number.

10100002201220 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 10100002201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10994195197440).

10100002201220 is an abundant number, since it is smaller than the sum of its proper divisors (11888388193660).

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

10100002201220 is a wasteful number, since it uses less digits than its factorization.

10100002201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26253 (or 26251 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10100002201220 its reverse (2210220000101), we get a palindrome (12310222201321).

The spelling of 10100002201220 in words is "ten trillion, one hundred billion, two million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 257 310 514 620 1028 1285 2570 2729 5140 5458 7967 10916 13645 15934 23227 27290 31868 39835 46454 54580 79670 84599 92908 116135 159340 169198 232270 338396 422995 464540 701353 720037 845990 1402706 1440074 1691980 2805412 2880148 3506765 3600185 5969339 7013530 7200370 11938678 14027060 14400740 21741943 23877356 29846695 43483886 59693390 63386483 86967772 108709715 119386780 126772966 185049509 217419430 253545932 316932415 370099018 434838860 633864830 740198036 925247545 1267729660 1850495090 1964980973 3700990180 3929961946 7859923892 9824904865 16290326131 19649809730 32580652262 39299619460 65161304524 81451630655 162903261310 325806522620 505000110061 1010000220122 2020000440244 2525000550305 5050001100610 10100002201220