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210101020220112 = 243719315592078191
BaseRepresentation
bin101111110001010111110100…
…101011010101101011010000
31000112220110110100020012112120
4233301113310223111223100
5210014243342134020422
62022503024244254240
762153204066455230
oct5761276453255320
91015813410205476
10210101020220112
1160a4338465698a
121b692b9a6a1380
1390305973c3678
1439c4d2d4a5cc0
151945322a9445c
hexbf15f4ad5ad0

210101020220112 has 160 divisors (see below), whose sum is σ = 623912474664960. Its totient is φ = 59679498608640.

The previous prime is 210101020220101. The next prime is 210101020220167. The reversal of 210101020220112 is 211022020101012.

It is a super-2 number, since 2×2101010202201122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210101020220091 and 210101020220100.

It is a congruent 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, 100058937 + ... + 102137127.

It is an arithmetic number, because the mean of its divisors is an integer number (3899452966656).

Almost surely, 2210101020220112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210101020220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311956237332480).

210101020220112 is an abundant number, since it is smaller than the sum of its proper divisors (413811454444848).

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

210101020220112 is a wasteful number, since it uses less digits than its factorization.

210101020220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079961 (or 2079955 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210101020220112 its reverse (211022020101012), we get a palindrome (421123040321124).

The spelling of 210101020220112 in words is "two hundred ten trillion, one hundred one billion, twenty million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 193 336 386 579 772 1158 1351 1544 1559 2316 2702 3088 3118 4053 4632 4677 5404 6236 8106 9264 9354 10808 10913 12472 16212 18708 21616 21826 24944 32424 32739 37416 43652 64848 65478 74832 87304 130956 174608 261912 300887 523824 601774 902661 1203548 1805322 2078191 2106209 2407096 3610644 4156382 4212418 4814192 6234573 6318627 7221288 8312764 8424836 12469146 12637254 14442576 14547337 16625528 16849672 24938292 25274508 29094674 33251056 33699344 43642011 49876584 50549016 58189348 87284022 99753168 101098032 116378696 174568044 232757392 349136088 401090863 698272176 802181726 1203272589 1604363452 2406545178 2807636041 3208726904 3239899769 4813090356 5615272082 6417453808 6479799538 8422908123 9626180712 9719699307 11230544164 12959599076 16845816246 19252361424 19439398614 22461088328 22679298383 25919198152 33691632492 38878797228 44922176656 45358596766 51838396304 67383264984 68037895149 77757594456 90717193532 134766529968 136075790298 155515188912 181434387064 272151580596 362868774128 544303161192 625300655417 1088606322384 1250601310834 1875901966251 2501202621668 3751803932502 4377104587919 5002405243336 7503607865004 8754209175838 10004810486672 13131313763757 15007215730008 17508418351676 26262627527514 30014431460016 35016836703352 52525255055028 70033673406704 105050510110056 210101020220112