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1003442142120 = 2335111744716673
BaseRepresentation
bin11101001101000011100…
…11111111101110101000
310112221001121102100210020
432212201303333232220
5112420022142021440
62044550331320440
7132332142322545
oct16464163775650
93487047370706
101003442142120
11357614a25250
121425828b0120
1373816458222
14367d1663bcc
151b17da453d0
hexe9a1cffba8

1003442142120 has 128 divisors (see below), whose sum is σ = 3477168570240. Its totient is φ = 228949360640.

The previous prime is 1003442142091. The next prime is 1003442142127. The reversal of 1003442142120 is 212412443001.

It is a super-2 number, since 2×10034421421202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1003442142127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22335897 + ... + 22380776.

It is an arithmetic number, because the mean of its divisors is an integer number (27165379455).

Almost surely, 21003442142120 is an apocalyptic number.

1003442142120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003442142120 is an abundant number, since it is smaller than the sum of its proper divisors (2473726428120).

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

1003442142120 is a wasteful number, since it uses less digits than its factorization.

1003442142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44716715 (or 44716711 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1003442142120 its reverse (212412443001), we get a palindrome (1215854585121).

The spelling of 1003442142120 in words is "one trillion, three billion, four hundred forty-two million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 22440 44716673 89433346 134150019 178866692 223583365 268300038 357733384 447166730 491883403 536600076 670750095 760183441 894333460 983766806 1073200152 1341500190 1475650209 1520366882 1788666920 1967533612 2280550323 2459417015 2683000380 2951300418 3040733764 3800917205 3935067224 4561100646 4918834030 5366000760 5902600836 6081467528 7378251045 7601834410 8362017851 9122201292 9837668060 11402751615 11805201672 14756502090 15203668820 16724035702 18244402584 19675336120 22805503230 25086053553 29513004180 30407337640 33448071404 41810089255 45611006460 50172107106 59026008360 66896142808 83620178510 91222012920 100344214212 125430267765 167240357020 200688428424 250860535530 334480714040 501721071060 1003442142120