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23210210002120 = 2352418297290189
BaseRepresentation
bin1010100011100000011000…
…10100101000010011001000
310001011212121102221022110221
411101300030110220103020
511020234002230031440
6121210342343315424
74613611432561021
oct521601424502310
9101155542838427
1023210210002120
117439438503699
12272a36444bb74
13cc493749a07b
145a3547221c48
152a3b3e08ed4a
hex151c0c5284c8

23210210002120 has 64 divisors (see below), whose sum is σ = 52446166383600. Its totient is φ = 9244414648320.

The previous prime is 23210210002097. The next prime is 23210210002151. The reversal of 23210210002120 is 2120001201232.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 21431918409444 + 1778291592676 = 4629462^2 + 1333526^2 .

It is a super-2 number, since 2×232102100021202 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23210210002094 and 23210210002103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79837986 + ... + 80128174.

Almost surely, 223210210002120 is an apocalyptic number.

23210210002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23210210002120 is an abundant number, since it is smaller than the sum of its proper divisors (29235956381480).

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

23210210002120 is a wasteful number, since it uses less digits than its factorization.

23210210002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298738 (or 298734 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 23210210002120 its reverse (2120001201232), we get a palindrome (25330211203352).

The spelling of 23210210002120 in words is "twenty-three trillion, two hundred ten billion, two hundred ten million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 241 482 964 1205 1928 2410 4820 8297 9640 16594 33188 41485 66376 82970 165940 290189 331880 580378 1160756 1450945 1999577 2321512 2901890 3999154 5803780 7998308 9997885 11607560 15996616 19995770 39991540 69935549 79983080 139871098 279742196 349677745 559484392 699355490 1398710980 2407698133 2797421960 4815396266 9630792532 12038490665 19261585064 24076981330 48153962660 96307925320 580255250053 1160510500106 2321021000212 2901276250265 4642042000424 5802552500530 11605105001060 23210210002120