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1023310004200 = 235211612175991
BaseRepresentation
bin11101110010000100000…
…01110111111111101000
310121211100020022022212221
432321002001313333220
5113231214330113300
62102034020443424
7133634401342651
oct16710201677750
93554306268787
101023310004200
11364a8a902080
121463a8549574
1375661649233
1437758190528
151b942dae31a
hexee42077fe8

1023310004200 has 96 divisors (see below), whose sum is σ = 2595944473920. Its totient is φ = 372047040000.

The previous prime is 1023310004183. The next prime is 1023310004203. The reversal of 1023310004200 is 24000133201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1023310004203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13428205 + ... + 13504195.

It is an arithmetic number, because the mean of its divisors is an integer number (27041088270).

Almost surely, 21023310004200 is an apocalyptic number.

1023310004200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023310004200 is an abundant number, since it is smaller than the sum of its proper divisors (1572634469720).

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

1023310004200 is a wasteful number, since it uses less digits than its factorization.

1023310004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82139 (or 82130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1023310004200 its reverse (24000133201), we get a palindrome (1047310137401).

The spelling of 1023310004200 in words is "one trillion, twenty-three billion, three hundred ten million, four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 6121 12242 24484 30605 48968 61210 67331 75991 122420 134662 151982 153025 244840 269324 303964 306050 336655 379955 538648 607928 612100 673310 759910 835901 1224200 1346620 1519820 1671802 1683275 1899775 2693240 3039640 3343604 3366550 3799550 4179505 6687208 6733100 7599100 8359010 13466200 15198200 16718020 20897525 33436040 41795050 83590100 167180200 465140911 930281822 1860563644 2325704555 3721127288 4651409110 5116550021 9302818220 10233100042 11628522775 18605636440 20466200084 23257045550 25582750105 40932400168 46514091100 51165500210 93028182200 102331000420 127913750525 204662000840 255827501050 511655002100 1023310004200