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1002023842020 = 2235373791190929
BaseRepresentation
bin11101001010011010100…
…01100111000011100100
310112210101202122020210220
432211031101213003210
5112404121100421040
62044153504244340
7132252041061045
oct16451521470344
93483352566726
101002023842020
11356a57377403
121422479106b0
137364b66ccb6
14366d914a8cc
151b0e92882d0
hexe94d4670e4

1002023842020 has 96 divisors (see below), whose sum is σ = 2889100905600. Its totient is φ = 259298371584.

The previous prime is 1002023842019. The next prime is 1002023842037. The reversal of 1002023842020 is 202483202001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245916 + ... + 1436844.

It is an arithmetic number, because the mean of its divisors is an integer number (30094801100).

Almost surely, 21002023842020 is an apocalyptic number.

1002023842020 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 1002023842020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444550452800).

1002023842020 is an abundant number, since it is smaller than the sum of its proper divisors (1887077063580).

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

1002023842020 is a wasteful number, since it uses less digits than its factorization.

1002023842020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191357 (or 1191355 counting only the distinct ones).

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

The spelling of 1002023842020 in words is "one trillion, two billion, twenty-three million, eight hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 379 444 555 740 758 1110 1137 1516 1895 2220 2274 3790 4548 5685 7580 11370 14023 22740 28046 42069 56092 70115 84138 140230 168276 210345 280460 420690 841380 1190929 2381858 3572787 4763716 5954645 7145574 11909290 14291148 17863935 23818580 35727870 44064373 71455740 88128746 132193119 176257492 220321865 264386238 440643730 451362091 528772476 660965595 881287460 902724182 1321931190 1354086273 1805448364 2256810455 2643862380 2708172546 4513620910 5416345092 6770431365 9027241820 13540862730 16700397367 27081725460 33400794734 50101192101 66801589468 83501986835 100202384202 167003973670 200404768404 250505960505 334007947340 501011921010 1002023842020