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21020420322 = 2341128912049
BaseRepresentation
bin10011100100111010…
…100010100011100010
32000020221121222210000
4103210322202203202
5321022211422242
613353500320430
71342622424156
oct234472424342
960227558700
1021020420322
118a0752aa00
1240a7843116
131c9cc14645
141035a2b066
15830632a4c
hex4e4ea28e2

21020420322 has 120 divisors (see below), whose sum is σ = 52358575500. Its totient is φ = 6297730560.

The previous prime is 21020420303. The next prime is 21020420327. The reversal of 21020420322 is 22302402012.

21020420322 is a `hidden beast` number, since 210 + 2 + 0 + 420 + 32 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20920440321 + 99980001 = 144639^2 + 9999^2 .

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 = 21020420295 and 21020420304.

It is not an unprimeable number, because it can be changed into a prime (21020420327) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1738554 + ... + 1750602.

Almost surely, 221020420322 is an apocalyptic number.

21020420322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21020420322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26179287750).

21020420322 is an abundant number, since it is smaller than the sum of its proper divisors (31338155178).

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

21020420322 is a wasteful number, since it uses less digits than its factorization.

21020420322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12174 (or 12154 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21020420322 its reverse (22302402012), we get a palindrome (43322822334).

The spelling of 21020420322 in words is "twenty-one billion, twenty million, four hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 89 99 121 162 178 198 242 267 297 363 534 594 726 801 891 979 1089 1602 1782 1958 2178 2403 2937 3267 4806 5874 6534 7209 8811 9801 10769 12049 14418 17622 19602 21538 24098 26433 32307 36147 52866 64614 72294 79299 96921 108441 132539 158598 193842 216882 265078 290763 325323 397617 581526 650646 795234 872289 975969 1072361 1192851 1457929 1744578 1951938 2144722 2385702 2915858 3217083 3578553 4373787 6434166 7157106 8747574 9651249 10735659 11795971 13121361 19302498 21471318 23591942 26242722 28953747 35387913 39364083 57907494 70775826 78728166 86861241 106163739 118092249 129755681 173722482 212327478 236184498 259511362 318491217 389267043 636982434 778534086 955473651 1167801129 1910947302 2335602258 3503403387 7006806774 10510210161 21020420322