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23131111323300 = 22352374214949843
BaseRepresentation
bin1010100001001101000011…
…01011000111011010100100
310000220022102220211002200220
411100212201223013122210
511012440003444321200
6121110141424204340
74605111334106661
oct520464153073244
9100808386732626
1023131111323300
117408938351552
122716b6a4696b0
13cba3400020c6
1459d7a2068a68
152a1a5ecae4a0
hex1509a1ac76a4

23131111323300 has 144 divisors (see below), whose sum is σ = 68898106197312. Its totient is φ = 5987328883200.

The previous prime is 23131111323239. The next prime is 23131111323311. The reversal of 23131111323300 is 332311113132.

It is a super-2 number, since 2×231311113233002 (a number of 28 digits) contains 22 as substring.

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, 2198179 + ... + 7148021.

Almost surely, 223131111323300 is an apocalyptic number.

23131111323300 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 23131111323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34449053098656).

23131111323300 is an abundant number, since it is smaller than the sum of its proper divisors (45766994874012).

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

23131111323300 is a wasteful number, since it uses less digits than its factorization.

23131111323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4950318 (or 4950311 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 23131111323300 its reverse (332311113132), we get a palindrome (23463422436432).

The spelling of 23131111323300 in words is "twenty-three trillion, one hundred thirty-one billion, one hundred eleven million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 421 444 555 740 842 925 1110 1263 1684 1850 2105 2220 2526 2775 3700 4210 5052 5550 6315 8420 10525 11100 12630 15577 21050 25260 31154 31575 42100 46731 62308 63150 77885 93462 126300 155770 186924 233655 311540 389425 467310 778850 934620 1168275 1557700 2336550 4673100 4949843 9899686 14849529 19799372 24749215 29699058 49498430 59398116 74247645 98996860 123746075 148495290 183144191 247492150 296990580 366288382 371238225 494984300 549432573 732576764 742476450 915720955 1098865146 1484952900 1831441910 2083883903 2197730292 2747162865 3662883820 4167767806 4578604775 5494325730 6251651709 8335535612 9157209550 10419419515 10988651460 12503303418 13735814325 18314419100 20838839030 25006606836 27471628650 31258258545 41677678060 52097097575 54943257300 62516517090 77103704411 104194195150 125033034180 154207408822 156291292725 208388390300 231311113233 308414817644 312582585450 385518522055 462622226466 625165170900 771037044110 925244452932 1156555566165 1542074088220 1927592610275 2313111132330 3855185220550 4626222264660 5782777830825 7710370441100 11565555661650 23131111323300