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1020103000112 = 247432336131483
BaseRepresentation
bin11101101100000101110…
…00001000000000110000
310121112001201202122022202
432312002320020000300
5113203132332000422
62100343455322332
7133462050301550
oct16660270100060
93545051678282
101020103000112
11363694605479
121458525203a8
13752700c7691
14375322a1160
151b80657ab92
hexed82e08030

1020103000112 has 160 divisors (see below), whose sum is σ = 2326604087808. Its totient is φ = 424207300608.

The previous prime is 1020103000087. The next prime is 1020103000151. The reversal of 1020103000112 is 2110003010201.

It is a super-2 number, since 2×10201030001122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020103000093 and 1020103000102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687863723 + ... + 687865205.

Almost surely, 21020103000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020103000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163302043904).

1020103000112 is an abundant number, since it is smaller than the sum of its proper divisors (1306501087696).

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

1020103000112 is a wasteful number, since it uses less digits than its factorization.

1020103000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1020103000112 its reverse (2110003010201), we get a palindrome (3130106010313).

The spelling of 1020103000112 in words is "one trillion, twenty billion, one hundred three million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 233 301 344 466 602 613 688 932 1204 1226 1483 1631 1864 2408 2452 2966 3262 3728 4291 4816 4904 5932 6524 8582 9808 10019 10381 11864 13048 17164 20038 20762 23728 26096 26359 34328 40076 41524 52718 63769 68656 70133 80152 83048 105436 127538 140266 142829 160304 166096 184513 210872 255076 280532 285658 345539 369026 421744 446383 510152 561064 571316 691078 738052 892766 909079 999803 1020304 1122128 1142632 1382156 1476104 1785532 1818158 1999606 2285264 2418773 2764312 2952208 3571064 3636316 3999212 4837546 5528624 6141647 6363553 7142128 7272632 7998424 9675092 12283294 12727106 14545264 14858177 15996848 19350184 24566588 25454212 29716354 38700368 39090397 42991529 49133176 50908424 59432708 78180794 85983058 98266352 101816848 104007239 118865416 156361588 171966116 208014478 211815407 237730832 273632779 312723176 343932232 416028956 423630814 547265558 625446352 687864464 832057912 847261628 1094531116 1482707849 1664115824 1694523256 2189062232 2965415698 3389046512 4378124464 5930831396 9108062501 11861662792 18216125002 23723325584 36432250004 63756437507 72864500008 127512875014 145729000016 255025750028 510051500056 1020103000112