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10022201010 = 23352310715083
BaseRepresentation
bin10010101010101111…
…01010011010110010
3221212110112120012000
421111113222122302
5131011140413020
64334254314430
7503234205633
oct112527523262
927773476160
1010022201010
1142832a8a58
121b384b8a16
13c39491673
146b10a188a
153d9ce6090
hex2555ea6b2

10022201010 has 128 divisors (see below), whose sum is σ = 28150364160. Its totient is φ = 2532328128.

The previous prime is 10022201009. The next prime is 10022201027. The reversal of 10022201010 is 1010222001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10022200983 and 10022201001.

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, 656929 + ... + 672011.

It is an arithmetic number, because the mean of its divisors is an integer number (219924720).

Almost surely, 210022201010 is an apocalyptic number.

10022201010 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 10022201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14075182080).

10022201010 is an abundant number, since it is smaller than the sum of its proper divisors (18128163150).

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

10022201010 is a wasteful number, since it uses less digits than its factorization.

10022201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15229 (or 15223 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10022201010 its reverse (1010222001), we get a palindrome (11032423011).

The spelling of 10022201010 in words is "ten billion, twenty-two million, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 107 115 135 138 207 214 230 270 321 345 414 535 621 642 690 963 1035 1070 1242 1605 1926 2070 2461 2889 3105 3210 4815 4922 5778 6210 7383 9630 12305 14445 14766 15083 22149 24610 28890 30166 36915 44298 45249 66447 73830 75415 90498 110745 132894 135747 150830 221490 226245 271494 332235 346909 407241 452490 664470 678735 693818 814482 1040727 1357470 1613881 1734545 2036205 2081454 3122181 3227762 3469090 4072410 4841643 5203635 6244362 8069405 9366543 9683286 10407270 14524929 15610905 16138810 18733086 24208215 29049858 31221810 37119263 43574787 46832715 48416430 72624645 74238526 87149574 93665430 111357789 145249290 185596315 217873935 222715578 334073367 371192630 435747870 556788945 668146734 1002220101 1113577890 1670366835 2004440202 3340733670 5011100505 10022201010