Search a number
-
+
10021200111010 = 25111931994115559
BaseRepresentation
bin1001000111010011111000…
…0100101010010110100010
31022111000110122222110220001
42101310332010222112202
52303141404212023020
633151401545010214
72053002452331154
oct221647604522642
938430418873801
1010021200111010
113213a70235220
12115a21378396a
13578cc2365cca
14269058972ad4
15125a1b21c50a
hex91d3e12a5a2

10021200111010 has 128 divisors (see below), whose sum is σ = 21385385164800. Its totient is φ = 3340364832000.

The previous prime is 10021200110989. The next prime is 10021200111011. The reversal of 10021200111010 is 1011100212001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10021200111011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 644069611 + ... + 644085169.

It is an arithmetic number, because the mean of its divisors is an integer number (167073321600).

Almost surely, 210021200111010 is an apocalyptic number.

10021200111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10021200111010 is an abundant number, since it is smaller than the sum of its proper divisors (11364185053790).

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

10021200111010 is a wasteful number, since it uses less digits than its factorization.

10021200111010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25568.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10021200111010 its reverse (1011100212001), we get a palindrome (11032300323011).

The spelling of 10021200111010 in words is "ten trillion, twenty-one billion, two hundred million, one hundred eleven thousand, ten".

Divisors: 1 2 5 10 11 19 22 31 38 55 62 95 110 155 190 209 310 341 418 589 682 1045 1178 1705 2090 2945 3410 5890 6479 9941 12958 15559 19882 31118 32395 49705 64790 77795 99410 109351 155590 171149 188879 218702 295621 308171 342298 377758 482329 546755 591242 616342 855745 944395 964658 1093510 1478105 1540855 1711490 1888790 2077669 2411645 2956210 3081710 3251831 3389881 4155338 4823290 5305619 5855249 6503662 6779762 9164251 10388345 10611238 11710498 16259155 16949405 18328502 20776690 26528095 29276245 32518310 33898810 45821255 53056190 58552490 64407739 91642510 100806761 128815478 154672019 201613522 309344038 322038695 504033805 644077390 773360095 1008067610 1546720190 1701392209 2938768361 3402784418 4794832589 5877536722 8506961045 9589665178 14693841805 17013922090 23974162945 29387683610 32326451971 47948325890 52743158479 64652903942 91101819191 105486316958 161632259855 182203638382 263715792395 323264519710 455509095955 527431584790 911018191910 1002120011101 2004240022202 5010600055505 10021200111010