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1020012001120 = 25571277171063
BaseRepresentation
bin11101101011111010111…
…00111111011101100000
310121111211101112102011201
432311331130333131200
5113202441033013440
62100330445050544
7133456563645430
oct16657534773540
93544741472151
101020012001120
113636482015a2
12145827b56a54
13752572b5b18
14375241742c0
151b7ed5a319a
hexed7d73f760

1020012001120 has 96 divisors (see below), whose sum is σ = 2775718084608. Its totient is φ = 346964663808.

The previous prime is 1020012001087. The next prime is 1020012001181. The reversal of 1020012001120 is 211002100201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1020012001097 and 1020012001106.

It is a congruent number.

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, 3443292 + ... + 3727771.

It is an arithmetic number, because the mean of its divisors is an integer number (28913730048).

Almost surely, 21020012001120 is an apocalyptic number.

1020012001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020012001120 is an abundant number, since it is smaller than the sum of its proper divisors (1755706083488).

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

1020012001120 is a wasteful number, since it uses less digits than its factorization.

1020012001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7171212 (or 7171204 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020012001120 its reverse (211002100201), we get a palindrome (1231014101321).

The spelling of 1020012001120 in words is "one trillion, twenty billion, twelve million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 127 140 160 224 254 280 508 560 635 889 1016 1120 1270 1778 2032 2540 3556 4064 4445 5080 7112 8890 10160 14224 17780 20320 28448 35560 71120 142240 7171063 14342126 28684252 35855315 50197441 57368504 71710630 100394882 114737008 143421260 200789764 229474016 250987205 286842520 401579528 501974410 573685040 803159056 910725001 1003948820 1147370080 1606318112 1821450002 2007897640 3642900004 4015795280 4553625005 6375075007 7285800008 8031590560 9107250010 12750150014 14571600016 18214500020 25500300028 29143200032 31875375035 36429000040 51000600056 63750750070 72858000080 102001200112 127501500140 145716000160 204002400224 255003000280 510006000560 1020012001120