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10022131032030 = 23251328333023623
BaseRepresentation
bin1001000111010111010110…
…0011110101111111011110
31022111002212112200011110100
42101311311203311333132
52303200311021011110
633152034201521530
72053034515122465
oct221656543657736
938432775604410
1010022131032030
1132143a8766a37
12115a4334a32a6
13579110197950
1426910645b9dc
15125a72d05bc0
hex91d758f5fde

10022131032030 has 96 divisors (see below), whose sum is σ = 28071881562816. Its totient is φ = 2466114481152.

The previous prime is 10022131031923. The next prime is 10022131032041. The reversal of 10022131032030 is 3023013122001.

10022131032030 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 1 + 310 + 320 + 30 = 666.

It is a super-2 number, since 2×100221310320302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10022131031994 and 10022131032012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1802799 + ... + 4826421.

It is an arithmetic number, because the mean of its divisors is an integer number (292415432946).

Almost surely, 210022131032030 is an apocalyptic number.

10022131032030 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 10022131032030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14035940781408).

10022131032030 is an abundant number, since it is smaller than the sum of its proper divisors (18049750530786).

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

10022131032030 is a wasteful number, since it uses less digits than its factorization.

10022131032030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026482 (or 3026479 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10022131032030 its reverse (3023013122001), we get a palindrome (13045144154031).

The spelling of 10022131032030 in words is "ten trillion, twenty-two billion, one hundred thirty-one million, thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 2833 5666 8499 14165 16998 25497 28330 36829 42495 50994 73658 84990 110487 127485 184145 220974 254970 331461 368290 552435 662922 1104870 1657305 3023623 3314610 6047246 9070869 15118115 18141738 27212607 30236230 39307099 45354345 54425214 78614198 90708690 117921297 136063035 196535495 235842594 272126070 353763891 393070990 589606485 707527782 1179212970 1768819455 3537638910 8565923959 17131847918 25697771877 42829619795 51395543754 77093315631 85659239590 111357011467 128488859385 154186631262 222714022934 256977718770 334071034401 385466578155 556785057335 668142068802 770933156310 1002213103203 1113570114670 1670355172005 2004426206406 3340710344010 5011065516015 10022131032030