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10220302321020 = 22325115161768849
BaseRepresentation
bin1001010010111001100101…
…1111010100010101111100
31100012001101102220201001100
42110232121133110111330
52314422134343233040
633423050404213100
72103251422232511
oct224563137242574
940161342821040
1010220302321020
113290451243520
12119091a69a190
13591a026836ac
14274945711308
1512acc094eb30
hex94b997d457c

10220302321020 has 72 divisors (see below), whose sum is σ = 33819909505200. Its totient is φ = 2477649047040.

The previous prime is 10220302321001. The next prime is 10220302321133. The reversal of 10220302321020 is 2012320302201.

10220302321020 is a `hidden beast` number, since 1 + 0 + 2 + 20 + 302 + 321 + 0 + 20 = 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 = 10220302320984 and 10220302321002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2580882445 + ... + 2580886404.

It is an arithmetic number, because the mean of its divisors is an integer number (469720965350).

Almost surely, 210220302321020 is an apocalyptic number.

10220302321020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220302321020 is an abundant number, since it is smaller than the sum of its proper divisors (23599607184180).

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

10220302321020 is a wasteful number, since it uses less digits than its factorization.

10220302321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5161768875 (or 5161768870 counting only the distinct ones).

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

Adding to 10220302321020 its reverse (2012320302201), we get a palindrome (12232622623221).

The spelling of 10220302321020 in words is "ten trillion, two hundred twenty billion, three hundred two million, three hundred twenty-one thousand, 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 5161768849 10323537698 15485306547 20647075396 25808844245 30970613094 46455919641 51617688490 56779457339 61941226188 77426532735 92911839282 103235376980 113558914678 154853065470 170338372017 185823678564 227117829356 232279598205 283897286695 309706130940 340676744034 464559196410 511015116051 567794573390 681353488068 851691860085 929118392820 1022030232102 1135589146780 1703383720170 2044060464204 2555075580255 3406767440340 5110151160510 10220302321020