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10021111022010 = 235111012111142427
BaseRepresentation
bin1001000111010011100011…
…0000110100000110111010
31022111000020110100021202110
42101310320300310012322
52303141213410201020
633151345043313150
72053000321151364
oct221647060640672
938430213307673
1010021111022010
113213a24a16350
12115a1a997b7b6
13578ca9a7291a
1426904abc1d34
15125a134c08e0
hex91d38c341ba

10021111022010 has 128 divisors (see below), whose sum is σ = 26509601783808. Its totient is φ = 2404150880000.

The previous prime is 10021111021907. The next prime is 10021111022017. The reversal of 10021111022010 is 1022011112001.

It is a super-2 number, since 2×100211110220102 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10021111022017) 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, 70288417 + ... + 70430843.

It is an arithmetic number, because the mean of its divisors is an integer number (207106263936).

Almost surely, 210021111022010 is an apocalyptic number.

10021111022010 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 10021111022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13254800891904).

10021111022010 is an abundant number, since it is smaller than the sum of its proper divisors (16488490761798).

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

10021111022010 is a wasteful number, since it uses less digits than its factorization.

10021111022010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144660.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10021111022010 its reverse (1022011112001), we get a palindrome (11043122134011).

The spelling of 10021111022010 in words is "ten trillion, twenty-one billion, one hundred eleven million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 2111 2222 3030 3333 4222 5555 6333 6666 10555 11110 12666 16665 21110 23221 31665 33330 46442 63330 69663 116105 139326 142427 213211 232210 284854 348315 426422 427281 639633 696630 712135 854562 1066055 1279266 1424270 1566697 2132110 2136405 2345321 3133394 3198165 4272810 4690642 4700091 6396330 7035963 7833485 9400182 11726605 14071926 14385127 15666970 23453210 23500455 28770254 35179815 43155381 47000910 70359630 71925635 86310762 143851270 158236397 215776905 300663397 316472794 431553810 474709191 601326794 791181985 901990191 949418382 1503316985 1582363970 1803980382 2373545955 3006633970 3307297367 4509950955 4747091910 6614594734 9019901910 9921892101 16536486835 19843784202 30367003097 33072973670 49609460505 60734006194 91101009291 99218921010 151835015485 182202018582 303670030970 334037034067 455505046455 668074068134 911010092910 1002111102201 1670185170335 2004222204402 3340370340670 5010555511005 10021111022010