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2021220132030 = 2335116531042183
BaseRepresentation
bin11101011010011010000…
…110111010010010111110
321011020010022021020201000
4131122122012322102332
5231103424323211110
64144311414031130
7266012501436141
oct35323206722276
97136108236630
102021220132030
1170a216087090
122878866484a6
131187a5961a08
146db82c26058
153789ae0e1c0
hex1d69a1ba4be

2021220132030 has 128 divisors (see below), whose sum is σ = 5888923223040. Its totient is φ = 489241918080.

The previous prime is 2021220132023. The next prime is 2021220132037. The reversal of 2021220132030 is 302310221202.

It is an interprime number because it is at equal distance from previous prime (2021220132023) and next prime (2021220132037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2021220131994 and 2021220132012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021220132037) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1418319 + ... + 2460501.

It is an arithmetic number, because the mean of its divisors is an integer number (46007212680).

Almost surely, 22021220132030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021220132030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944461611520).

2021220132030 is an abundant number, since it is smaller than the sum of its proper divisors (3867703091010).

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

2021220132030 is a wasteful number, since it uses less digits than its factorization.

2021220132030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042863 (or 1042857 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2021220132030 its reverse (302310221202), we get a palindrome (2323530353232).

The spelling of 2021220132030 in words is "two trillion, twenty-one billion, two hundred twenty million, one hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 653 990 1306 1485 1959 2970 3265 3918 5877 6530 7183 9795 11754 14366 17631 19590 21549 29385 35262 35915 43098 58770 64647 71830 88155 107745 129294 176310 193941 215490 323235 387882 646470 969705 1042183 1939410 2084366 3126549 5210915 6253098 9379647 10421830 11464013 15632745 18759294 22928026 28138941 31265490 34392039 46898235 56277882 57320065 68784078 93796470 103176117 114640130 140694705 171960195 206352234 281389410 309528351 343920390 515880585 619056702 680545499 1031761170 1361090998 1547641755 2041636497 3095283510 3402727495 4083272994 6124909491 6805454990 7486000489 10208182485 12249818982 14972000978 18374728473 20416364970 22458001467 30624547455 36749456946 37430002445 44916002934 61249094910 67374004401 74860004890 91873642365 112290007335 134748008802 183747284730 202122013203 224580014670 336870022005 404244026406 673740044010 1010610066015 2021220132030