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10022021210010 = 2354771709141199
BaseRepresentation
bin1001000111010110111100…
…0000111001111110011010
31022111002120220000121222010
42101311233000321332122
52303200044412210020
633152015240010350
72053032012501615
oct221655700717632
938432526017863
1010022021210010
113214351777037
12115a4027609b6
135790c34c55c4
142690d5a3117c
15125a68360de0
hex91d6f039f9a

10022021210010 has 128 divisors (see below), whose sum is σ = 24945905664000. Its totient is φ = 2575180419840.

The previous prime is 10022021209999. The next prime is 10022021210011. The reversal of 10022021210010 is 1001212022001.

It is not an unprimeable number, because it can be changed into a prime (10022021210011) 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, 70907391 + ... + 71048589.

It is an arithmetic number, because the mean of its divisors is an integer number (194889888000).

Almost surely, 210022021210010 is an apocalyptic number.

10022021210010 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 10022021210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12472952832000).

10022021210010 is an abundant number, since it is smaller than the sum of its proper divisors (14923884453990).

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

10022021210010 is a wasteful number, since it uses less digits than its factorization.

10022021210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142036.

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

Adding to 10022021210010 its reverse (1001212022001), we get a palindrome (11023233232011).

The spelling of 10022021210010 in words is "ten trillion, twenty-two billion, twenty-one million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 47 71 94 141 142 213 235 282 355 426 470 705 709 710 1065 1410 1418 2127 2130 3337 3545 4254 6674 7090 10011 10635 16685 20022 21270 33323 33370 50055 50339 66646 99969 100110 100678 141199 151017 166615 199938 251695 282398 302034 333230 423597 499845 503390 705995 755085 847194 999690 1411990 1510170 2117985 2365933 4235970 4731866 6636353 7097799 10025129 11829665 13272706 14195598 19909059 20050258 23659330 30075387 33181765 35488995 39818118 50125645 60150774 66363530 70977990 99545295 100110091 100251290 150376935 199090590 200220182 300330273 300753870 471181063 500550455 600660546 942362126 1001100910 1413543189 1501651365 2355905315 2827086378 3003302730 4705174277 4711810630 7067715945 7107816461 9410348554 14115522831 14135431890 14215632922 21323449383 23525871385 28231045662 35539082305 42646898766 47051742770 70577614155 71078164610 106617246915 141155228310 213234493830 334067373667 668134747334 1002202121001 1670336868335 2004404242002 3340673736670 5011010605005 10022021210010