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10022012130 = 23513199263491
BaseRepresentation
bin10010101010101101…
…11100010011100010
3221212110011222002110
421111112330103202
5131011113342010
64334250300150
7503232461154
oct112526742342
927773158073
1010022012130
11428318a059
121b38427656
13c394266c0
146b1052ad4
153d9caa120
hex2555bc4e2

10022012130 has 128 divisors (see below), whose sum is σ = 26185420800. Its totient is φ = 2440247040.

The previous prime is 10022012129. The next prime is 10022012153. The reversal of 10022012130 is 3121022001.

10022012130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20411185 + ... + 20411675.

It is an arithmetic number, because the mean of its divisors is an integer number (204573600).

Almost surely, 210022012130 is an apocalyptic number.

10022012130 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 10022012130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13092710400).

10022012130 is an abundant number, since it is smaller than the sum of its proper divisors (16163408670).

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

10022012130 is a wasteful number, since it uses less digits than its factorization.

10022012130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10022012130 its reverse (3121022001), we get a palindrome (13143034131).

The spelling of 10022012130 in words is "ten billion, twenty-two million, twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 199 263 390 398 491 526 597 789 982 995 1194 1315 1473 1578 1990 2455 2587 2630 2946 2985 3419 3945 4910 5174 5970 6383 6838 7365 7761 7890 10257 12766 12935 14730 15522 17095 19149 20514 25870 31915 34190 38298 38805 51285 52337 63830 77610 95745 97709 102570 104674 129133 157011 191490 195418 258266 261685 293127 314022 387399 488545 523370 586254 645665 680381 774798 785055 977090 1270217 1291330 1360762 1465635 1570110 1678729 1936995 2041143 2540434 2931270 3357458 3401905 3810651 3873990 4082286 5036187 6351085 6803810 7621302 8393645 10072374 10205715 12702170 16787290 19053255 20411430 25180935 25697467 38106510 50361870 51394934 77092401 128487335 154184802 256974670 334067071 385462005 668134142 770924010 1002201213 1670335355 2004402426 3340670710 5011006065 10022012130