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2002222031100 = 22352191759199697
BaseRepresentation
bin11101001000101101101…
…110111010000011111100
321002102002021222201121020
4131020231232322003330
5230301022314443400
64131450314504140
7264440633312604
oct35105556720374
97072067881536
102002222031100
11702157158725
12284064135050
13116a68a0a785
146cc9da23c04
15371380ec2a0
hex1d22dbba0fc

2002222031100 has 144 divisors (see below), whose sum is σ = 6101492812800. Its totient is φ = 505534417920.

The previous prime is 2002222031099. The next prime is 2002222031179. The reversal of 2002222031100 is 11302222002.

It is a happy number.

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 2002222031100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9926452 + ... + 10126148.

Almost surely, 22002222031100 is an apocalyptic number.

2002222031100 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 2002222031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050746406400).

2002222031100 is an abundant number, since it is smaller than the sum of its proper divisors (4099270781700).

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

2002222031100 is a wasteful number, since it uses less digits than its factorization.

2002222031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201492 (or 201485 counting only the distinct ones).

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

Adding to 2002222031100 its reverse (11302222002), we get a palindrome (2013524253102).

It can be divided in two parts, 200222 and 2031100, that added together give a palindrome (2231322).

The spelling of 2002222031100 in words is "two trillion, two billion, two hundred twenty-two million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1759 1900 2850 3518 5277 5700 7036 8795 10554 17590 21108 26385 33421 35180 43975 52770 66842 87950 100263 105540 131925 133684 167105 175900 199697 200526 263850 334210 399394 401052 501315 527700 599091 668420 798788 835525 998485 1002630 1198182 1671050 1996970 2005260 2396364 2506575 2995455 3342100 3794243 3993940 4992425 5013150 5990910 7588486 9984850 10026300 11382729 11981820 14977275 15176972 18971215 19969700 22765458 29954550 37942430 45530916 56913645 59909100 75884860 94856075 113827290 189712150 227654580 284568225 351267023 379424300 569136450 702534046 1053801069 1138272900 1405068092 1756335115 2107602138 3512670230 4215204276 5269005345 6674073437 7025340460 8781675575 10538010690 13348146874 17563351150 20022220311 21076021380 26345026725 26696293748 33370367185 35126702300 40044440622 52690053450 66740734370 80088881244 100111101555 105380106900 133481468740 166851835925 200222203110 333703671850 400444406220 500555507775 667407343700 1001111015550 2002222031100