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20021020211320 = 23537731090916987
BaseRepresentation
bin1001000110101100000011…
…10011000011100001111000
32121212222202022200212201221
410203112001303003201320
510111011022133230240
6110325310230121424
74134320354615542
oct443260163034170
977788668625657
1020021020211320
116419959a64a07
1222b425b1b0274
13b22c881541bb
144d3045c32692
1524abd5476a4a
hex123581cc3878

20021020211320 has 128 divisors (see below), whose sum is σ = 46905614366400. Its totient is φ = 7684068519936.

The previous prime is 20021020211317. The next prime is 20021020211333. The reversal of 20021020211320 is 2311202012002.

It is a happy number.

It is a super-2 number, since 2×200210202113202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20021020211294 and 20021020211303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1178599867 + ... + 1178616853.

Almost surely, 220021020211320 is an apocalyptic number.

20021020211320 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 20021020211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23452807183200).

20021020211320 is an abundant number, since it is smaller than the sum of its proper divisors (26884594155080).

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

20021020211320 is a wasteful number, since it uses less digits than its factorization.

20021020211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28017 (or 28013 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20021020211320 its reverse (2311202012002), we get a palindrome (22332222223322).

The spelling of 20021020211320 in words is "twenty trillion, twenty-one billion, twenty million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 73 74 146 148 185 292 296 365 370 584 730 740 1460 1480 2701 2920 5402 10804 10909 13505 16987 21608 21818 27010 33974 43636 54020 54545 67948 84935 87272 108040 109090 135896 169870 218180 339740 403633 436360 628519 679480 796357 807266 1240051 1257038 1592714 1614532 2018165 2480102 2514076 3142595 3185428 3229064 3981785 4036330 4960204 5028152 6200255 6285190 6370856 7963570 8072660 9920408 12400510 12570380 15927140 16145320 24801020 25140760 29465209 31854280 45881887 49602040 58930418 91763774 117860836 147326045 183527548 185311183 229409435 235721672 294652090 367055096 370622366 458818870 589304180 741244732 917637740 926555915 1178608360 1482489464 1835275480 1853111830 3706223660 6856513771 7412447320 13527716359 13713027542 27055432718 27426055084 34282568855 54110865436 54852110168 67638581795 68565137710 108221730872 135277163590 137130275420 270554327180 274260550840 500525505283 541108654360 1001051010566 2002102021132 2502627526415 4004204042264 5005255052830 10010510105660 20021020211320