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23023212324100 = 225217179383319739
BaseRepresentation
bin1010011110000100000100…
…11001000110010100000100
310000111222221020211000121021
411033002002121012110010
511004203014323332400
6120544415010200524
74564241443542202
oct517020231062404
9100458836730537
1023023212324100
1173770a916343a
1226ba077283144
13cb0105b83751
14598487d12072
1529dd4737a71a
hex14f082646504

23023212324100 has 144 divisors (see below), whose sum is σ = 53211316132800. Its totient is φ = 8616454942720.

The previous prime is 23023212324097. The next prime is 23023212324139. The reversal of 23023212324100 is 142321232032.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1166372031 + ... + 1166391769.

It is an arithmetic number, because the mean of its divisors is an integer number (369523028700).

Almost surely, 223023212324100 is an apocalyptic number.

23023212324100 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 23023212324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26605658066400).

23023212324100 is an abundant number, since it is smaller than the sum of its proper divisors (30188103808700).

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

23023212324100 is a wasteful number, since it uses less digits than its factorization.

23023212324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23782 (or 23775 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 23023212324100 its reverse (142321232032), we get a palindrome (23165533556132).

The spelling of 23023212324100 in words is "twenty-three trillion, twenty-three billion, two hundred twelve million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 179 340 358 425 716 850 895 1700 1790 3043 3580 3833 4475 6086 7666 8950 12172 15215 15332 17900 19165 19739 30430 38330 39478 60860 65161 76075 76660 78956 95825 98695 130322 152150 191650 197390 260644 304300 325805 335563 383300 394780 493475 651610 671126 686107 986950 1303220 1342252 1372214 1629025 1677815 1973900 2744428 3258050 3355630 3430535 3533281 6516100 6711260 6861070 7066562 8389075 11663819 13722140 14133124 16778150 17152675 17666405 23327638 33556300 34305350 35332810 46655276 58319095 60065777 68610700 70665620 75659587 88332025 116638190 120131554 151319174 176664050 233276380 240263108 291595475 300328885 302638348 353328100 378297935 583190950 600657770 756595870 1166381900 1201315540 1286212979 1501644425 1513191740 1891489675 2572425958 3003288850 3782979350 5144851916 6006577700 6431064895 7565958700 12862129790 13543066073 25724259580 27086132146 32155324475 54172264292 64310648950 67715330365 128621297900 135430660730 230232123241 270861321460 338576651825 460464246482 677153303650 920928492964 1151160616205 1354306607300 2302321232410 4604642464820 5755803081025 11511606162050 23023212324100