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10024002204320 = 2551313073687247
BaseRepresentation
bin1001000111011110010100…
…0101110011001010100000
31022111021200221121120021202
42101313211011303022200
52303213124031014240
633152544003340332
72053132055615336
oct221674505631240
938437627546252
1010024002204320
113215178a12415
12115a8760816a8
1357934aa46ca0
14269242b7db56
15125b3221c315
hex91de51732a0

10024002204320 has 96 divisors (see below), whose sum is σ = 25522894672128. Its totient is φ = 3698337235968.

The previous prime is 10024002204289. The next prime is 10024002204371. The reversal of 10024002204320 is 2340220042001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10024002204292 and 10024002204301.

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, 874937 + ... + 4562183.

It is an arithmetic number, because the mean of its divisors is an integer number (265863486168).

Almost surely, 210024002204320 is an apocalyptic number.

10024002204320 is a gapful number since it is divisible by the number (10) 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 10024002204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12761447336064).

10024002204320 is an abundant number, since it is smaller than the sum of its proper divisors (15498892467808).

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

10024002204320 is a wasteful number, since it uses less digits than its factorization.

10024002204320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688582 (or 3688574 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10024002204320 its reverse (2340220042001), we get a palindrome (12364222246321).

The spelling of 10024002204320 in words is "ten trillion, twenty-four billion, two million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1307 2080 2614 5228 6535 10456 13070 16991 20912 26140 33982 41824 52280 67964 84955 104560 135928 169910 209120 271856 339820 543712 679640 1359280 2718560 3687247 7374494 14748988 18436235 29497976 36872470 47934211 58995952 73744940 95868422 117991904 147489880 191736844 239671055 294979760 383473688 479342110 589959520 766947376 958684220 1533894752 1917368440 3834736880 4819231829 7669473760 9638463658 19276927316 24096159145 38553854632 48192318290 62650013777 77107709264 96384636580 125300027554 154215418528 192769273160 250600055108 313250068885 385538546320 501200110216 626500137770 771077092640 1002400220432 1253000275540 2004800440864 2506000551080 5012001102160 10024002204320