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10021213310010 = 2357612833276137
BaseRepresentation
bin1001000111010011111011…
…0111000000110000111010
31022111000111120211001111220
42101310332313000300322
52303141421101410020
633151403135532510
72053003002453210
oct221647667006072
938430446731456
1010021213310010
113213a7772a891
12115a21808a136
13578cc5007976
1426905a60acb0
15125a1c478240
hex91d3edc0c3a

10021213310010 has 128 divisors (see below), whose sum is σ = 27947321685504. Its totient is φ = 2252209397760.

The previous prime is 10021213309993. The next prime is 10021213310023. The reversal of 10021213310010 is 1001331212001.

It is a happy number.

10021213310010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36152662 + ... + 36428798.

It is an arithmetic number, because the mean of its divisors is an integer number (218338450668).

Almost surely, 210021213310010 is an apocalyptic number.

10021213310010 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 10021213310010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13973660842752).

10021213310010 is an abundant number, since it is smaller than the sum of its proper divisors (17926108375494).

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

10021213310010 is a wasteful number, since it uses less digits than its factorization.

10021213310010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279048.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10021213310010 its reverse (1001331212001), we get a palindrome (11022544522011).

The spelling of 10021213310010 in words is "ten trillion, twenty-one billion, two hundred thirteen million, three hundred ten thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 105 122 183 210 305 366 427 610 854 915 1281 1830 2135 2562 2833 4270 5666 6405 8499 12810 14165 16998 19831 28330 39662 42495 59493 84990 99155 118986 172813 198310 276137 297465 345626 518439 552274 594930 828411 864065 1036878 1209691 1380685 1656822 1728130 1932959 2419382 2592195 2761370 3629073 3865918 4142055 5184390 5798877 6048455 7258146 8284110 9664795 11597754 12096910 16844357 18145365 19329590 28994385 33688714 36290730 50533071 57988770 84221785 101066142 117910499 168443570 235820998 252665355 353731497 505330710 589552495 707462994 782296121 1179104990 1564592242 1768657485 2346888363 3537314970 3911480605 4693776726 5476072847 7822961210 10952145694 11734441815 16428218541 23468883630 27380364235 32856437082 47720063381 54760728470 82141092705 95440126762 143160190143 164282185410 238600316905 286320380286 334040443667 477200633810 668080887334 715800950715 1002121331001 1431601901430 1670202218335 2004242662002 3340404436670 5010606655005 10021213310010