Search a number
-
+
210201002110020 = 223531172076567751
BaseRepresentation
bin101111110010110100111100…
…000011111110110001000100
31000120021000112020210110102010
4233302310330003332301010
5210022413123020010040
62023021001323214220
762163343533505515
oct5762647403766104
91016230466713363
10210201002110020
1160a81820842669
121b6aa442377370
139039b3c231c7c
1439c9ad5d70a0c
151947c25402e80
hexbf2d3c0fec44

210201002110020 has 96 divisors (see below), whose sum is σ = 607584103612416. Its totient is φ = 54242259120000.

The previous prime is 210201002110013. The next prime is 210201002110027. The reversal of 210201002110020 is 20011200102012.

It is an interprime number because it is at equal distance from previous prime (210201002110013) and next prime (210201002110027).

It is a super-2 number, since 2×2102010021100202 (a number of 29 digits) contains 22 as substring.

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 = 210201002109978 and 210201002110005.

It is not an unprimeable number, because it can be changed into a prime (210201002110027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28721145 + ... + 35288895.

It is an arithmetic number, because the mean of its divisors is an integer number (6329001079296).

Almost surely, 2210201002110020 is an apocalyptic number.

210201002110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210201002110020 is an abundant number, since it is smaller than the sum of its proper divisors (397383101502396).

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

210201002110020 is a wasteful number, since it uses less digits than its factorization.

210201002110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6585001 (or 6584999 counting only the distinct ones).

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

Adding to 210201002110020 its reverse (20011200102012), we get a palindrome (230212202212032).

The spelling of 210201002110020 in words is "two hundred ten trillion, two hundred one billion, two million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 17207 34414 51621 68828 86035 103242 172070 206484 258105 344140 516210 533417 1032420 1066834 1600251 2133668 2667085 3200502 5334170 6401004 6567751 8001255 10668340 13135502 16002510 19703253 26271004 32005020 32838755 39406506 65677510 78813012 98516265 131355020 197032530 203600281 394065060 407200562 610800843 814401124 1018001405 1221601686 2036002810 2443203372 3054004215 4072005620 6108008430 12216016860 113011291457 226022582914 339033874371 452045165828 565056457285 678067748742 1130112914570 1356135497484 1695169371855 2260225829140 3390338743710 3503350035167 6780677487420 7006700070334 10510050105501 14013400140668 17516750175835 21020100211002 35033500351670 42040200422004 52550250527505 70067000703340 105100501055010 210201002110020