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23012122232200 = 23521136337160681
BaseRepresentation
bin1010011101101111011010…
…10111110000010110001000
310000110221022100211222111211
411032313231113300112020
511004012311242412300
6120535342323102504
74563366561401563
oct516675527602610
9100427270758454
1023012122232200
117372428091232
1226b7aa1211a34
13cac0593a43aa
14597b150ad4da
1529d8e89424ba
hex14eded5f0588

23012122232200 has 96 divisors (see below), whose sum is σ = 53985517373160. Its totient is φ = 9121893580800.

The previous prime is 23012122232161. The next prime is 23012122232257. The reversal of 23012122232200 is 223222121032.

It can be written as a sum of positive squares in 12 ways, for example, as 57885472836 + 22954236759364 = 240594^2 + 4791058^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143135860 + ... + 143296540.

Almost surely, 223012122232200 is an apocalyptic number.

23012122232200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23012122232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26992758686580).

23012122232200 is an abundant number, since it is smaller than the sum of its proper divisors (30973395140960).

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

23012122232200 is a wasteful number, since it uses less digits than its factorization.

23012122232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167147 (or 167138 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 23012122232200 its reverse (223222121032), we get a palindrome (23235344353232).

The spelling of 23012122232200 in words is "twenty-three trillion, twelve billion, one hundred twenty-two million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 4520 5650 6337 11300 12674 22600 25348 31685 50696 63370 126740 158425 160681 253480 316850 321362 633700 642724 716081 803405 1267400 1285448 1432162 1606810 2864324 3213620 3580405 4017025 5728648 6427240 7160810 8034050 14321620 16068100 17902025 18156953 28643240 32136200 35804050 36313906 71608100 72627812 90784765 143216200 145255624 181569530 363139060 453923825 726278120 907847650 1018235497 1815695300 2036470994 3631390600 4072941988 5091177485 8145883976 10182354970 20364709940 25455887425 40729419880 50911774850 101823549700 115060611161 203647099400 230121222322 460242444644 575303055805 920484889288 1150606111610 2301212223220 2876515279025 4602424446440 5753030558050 11506061116100 23012122232200