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2002012120020 = 2235116149727077
BaseRepresentation
bin11101001000100001001…
…110001010001111010100
321002101112200000010201210
4131020201032022033110
5230300110100320040
64131413415421420
7264432504146133
oct35104116121724
97071480003653
102002012120020
117020597163a0
12284005984870
13116a34393233
146cc7dbc191a
1537124986480
hex1d22138a3d4

2002012120020 has 96 divisors (see below), whose sum is σ = 6215486933376. Its totient is φ = 477379929600.

The previous prime is 2002012119983. The next prime is 2002012120027. The reversal of 2002012120020 is 200212102002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2002012119978 and 2002012120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002012120027) 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, 24823279 + ... + 24903798.

It is an arithmetic number, because the mean of its divisors is an integer number (64744655556).

Almost surely, 22002012120020 is an apocalyptic number.

2002012120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002012120020 is an abundant number, since it is smaller than the sum of its proper divisors (4213474813356).

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

2002012120020 is a wasteful number, since it uses less digits than its factorization.

2002012120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49727161 (or 49727159 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002012120020 its reverse (200212102002), we get a palindrome (2202224222022).

The spelling of 2002012120020 in words is "two trillion, two billion, twelve million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 61 66 110 122 132 165 183 220 244 305 330 366 610 660 671 732 915 1220 1342 1830 2013 2684 3355 3660 4026 6710 8052 10065 13420 20130 40260 49727077 99454154 149181231 198908308 248635385 298362462 497270770 546997847 596724924 745906155 994541540 1093995694 1491812310 1640993541 2187991388 2734989235 2983624620 3033351697 3281987082 5469978470 6066703394 6563974164 8204967705 9100055091 10939956940 12133406788 15166758485 16409935410 18200110182 30333516970 32819870820 33366868667 36400220364 45500275455 60667033940 66733737334 91000550910 100100606001 133467474668 166834343335 182001101820 200201212002 333668686670 400402424004 500503030005 667337373340 1001006060010 2002012120020