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2121023003220 = 22325114001267739
BaseRepresentation
bin11110110111010110110…
…100101001101001010100
321111202201201222102001200
4132313112310221221110
5234222323342100340
64302215015552500
7306144633026112
oct36672664515124
97452651872050
102121023003220
11748580210410
122a309a38b730
1312501c680c94
147492da10ab2
153a28cbaa330
hex1edd6d29a54

2121023003220 has 144 divisors (see below), whose sum is σ = 7020438384960. Its totient is φ = 514056960000.

The previous prime is 2121023003213. The next prime is 2121023003251. The reversal of 2121023003220 is 223003201212.

2121023003220 is a `hidden beast` number, since 2 + 1 + 210 + 230 + 0 + 3 + 220 = 666.

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 = 2121023003193 and 2121023003202.

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, 7788111 + ... + 8055849.

It is an arithmetic number, because the mean of its divisors is an integer number (48753044340).

Almost surely, 22121023003220 is an apocalyptic number.

2121023003220 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 2121023003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510219192480).

2121023003220 is an abundant number, since it is smaller than the sum of its proper divisors (4899415381740).

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

2121023003220 is a wasteful number, since it uses less digits than its factorization.

2121023003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271766 (or 271761 counting only the distinct ones).

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

Adding to 2121023003220 its reverse (223003201212), we get a palindrome (2344026204432).

The spelling of 2121023003220 in words is "two trillion, one hundred twenty-one billion, twenty-three million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 4001 8002 12003 16004 20005 24006 36009 40010 44011 48012 60015 72018 80020 88022 120030 132033 144036 176044 180045 220055 240060 264066 267739 360090 396099 440110 528132 535478 660165 720180 792198 803217 880220 1070956 1320330 1338695 1584396 1606434 1980495 2409651 2640660 2677390 2945129 3212868 3960990 4016085 4819302 5354780 5890258 7921980 8032170 8835387 9638604 11780516 12048255 14725645 16064340 17670774 24096510 26506161 29451290 35341548 44176935 48193020 53012322 58902580 88353870 106024644 132530805 176707740 265061610 530123220 1071223739 2142447478 3213671217 4284894956 5356118695 6427342434 9641013651 10712237390 11783461129 12854684868 16068356085 19282027302 21424474780 23566922258 32136712170 35350383387 38564054604 47133844516 48205068255 58917305645 64273424340 70700766774 96410136510 106051150161 117834611290 141401533548 176751916935 192820273020 212102300322 235669222580 353503833870 424204600644 530255750805 707007667740 1060511501610 2121023003220