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1020202012320 = 25353757443807
BaseRepresentation
bin11101101100010001100…
…01110100111010100000
310121112022122001222112120
432312020301310322200
5113203333203343240
62100401353424240
7133464362011101
oct16661061647240
93545278058476
101020202012320
11363735491847
1214587b70b080
137528778369a
14375414b63a8
151b8100d7ad0
hexed88c74ea0

1020202012320 has 96 divisors (see below), whose sum is σ = 3300491432448. Its totient is φ = 264701058048.

The previous prime is 1020202012303. The next prime is 1020202012331. The reversal of 1020202012320 is 232102020201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1020202012320.

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 15 ways as a sum of consecutive naturals, for example, 28704144 + ... + 28739663.

It is an arithmetic number, because the mean of its divisors is an integer number (34380119088).

Almost surely, 21020202012320 is an apocalyptic number.

1020202012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020202012320 is an abundant number, since it is smaller than the sum of its proper divisors (2280289420128).

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

1020202012320 is a wasteful number, since it uses less digits than its factorization.

1020202012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57443862 (or 57443854 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1020202012320 its reverse (232102020201), we get a palindrome (1252304032521).

The spelling of 1020202012320 in words is "one trillion, twenty billion, two hundred two million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 8880 17760 57443807 114887614 172331421 229775228 287219035 344662842 459550456 574438070 689325684 861657105 919100912 1148876140 1378651368 1723314210 1838201824 2125420859 2297752280 2757302736 3446628420 4250841718 4595504560 5514605472 6376262577 6893256840 8501683436 9191009120 10627104295 12752525154 13786513680 17003366872 21254208590 25505050308 27573027360 31881312885 34006733744 42508417180 51010100616 63762625770 68013467488 85016834360 102020201232 127525251540 170033668720 204040402464 255050503080 340067337440 510101006160 1020202012320