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2002021112020 = 225417383939863
BaseRepresentation
bin11101001000100001110…
…000011101100011010100
321002101120021220222102211
4131020201300131203110
5230300114401041040
64131414340243204
7264432643446646
oct35104160354324
97071507828384
102002021112020
117020637a81a6
122840089a0504
13116a361c1047
146cc81082896
15371256608ea
hex1d221c1d8d4

2002021112020 has 96 divisors (see below), whose sum is σ = 4371097167360. Its totient is φ = 769636362240.

The previous prime is 2002021112017. The next prime is 2002021112023. The reversal of 2002021112020 is 202111202002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2002021112017) and next prime (2002021112023).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002021112023) 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, 50202609 + ... + 50242471.

It is an arithmetic number, because the mean of its divisors is an integer number (45532262160).

Almost surely, 22002021112020 is an apocalyptic number.

2002021112020 is a gapful number since it is divisible by the number (20) 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 2002021112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185548583680).

2002021112020 is an abundant number, since it is smaller than the sum of its proper divisors (2369076055340).

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

2002021112020 is a wasteful number, since it uses less digits than its factorization.

2002021112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40825 (or 40823 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2002021112020 its reverse (202111202002), we get a palindrome (2204132314022).

The spelling of 2002021112020 in words is "two trillion, two billion, twenty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 41 73 82 146 164 205 292 365 410 730 820 839 1460 1678 2993 3356 4195 5986 8390 11972 14965 16780 29930 34399 39863 59860 61247 68798 79726 122494 137596 159452 171995 199315 244988 306235 343990 398630 612470 687980 797260 1224940 1634383 2511127 2909999 3268766 5022254 5819998 6537532 8171915 10044508 11639996 12555635 14549995 16343830 25111270 29099990 32687660 33445057 50222540 58199980 66890114 119309959 133780228 167225285 238619918 334450570 477239836 596549795 668901140 1193099590 1371247337 2386199180 2441489161 2742494674 4882978322 5484989348 6856236685 9765956644 12207445805 13712473370 24414891610 27424946740 48829783220 100101055601 200202111202 400404222404 500505278005 1001010556010 2002021112020