Search a number
-
+
23012202112020 = 223251160719147157
BaseRepresentation
bin1010011101101111100100…
…01000011110010000010100
310000110221111221011022000200
411032313302020132100110
511004012442220041040
6120535354255140500
74563401551354422
oct516676210362024
9100427457138020
1023012202112020
117372469190110
1226b7b03b14730
13cac06cac1b64
14597b21944112
1529d900970630
hex14edf221e414

23012202112020 has 144 divisors (see below), whose sum is σ = 76274924963328. Its totient is φ = 5569524737280.

The previous prime is 23012202112019. The next prime is 23012202112033. The reversal of 23012202112020 is 2021120221032.

23012202112020 is a `hidden beast` number, since 2 + 30 + 1 + 220 + 211 + 202 + 0 = 666.

It is a super-2 number, since 2×230122021120202 (a number of 28 digits) contains 22 as substring.

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 = 23012202111984 and 23012202112002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8371719 + ... + 10775438.

It is an arithmetic number, because the mean of its divisors is an integer number (529686978912).

Almost surely, 223012202112020 is an apocalyptic number.

23012202112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23012202112020 is an abundant number, since it is smaller than the sum of its proper divisors (53262722851308).

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

23012202112020 is a wasteful number, since it uses less digits than its factorization.

23012202112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19147790 (or 19147785 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 23012202112020 its reverse (2021120221032), we get a palindrome (25033322333052).

The spelling of 23012202112020 in words is "twenty-three trillion, twelve billion, two hundred two million, one hundred twelve 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 99 110 132 165 180 198 220 330 396 495 607 660 990 1214 1821 1980 2428 3035 3642 5463 6070 6677 7284 9105 10926 12140 13354 18210 20031 21852 26708 27315 33385 36420 40062 54630 60093 66770 80124 100155 109260 120186 133540 200310 240372 300465 400620 600930 1201860 19147157 38294314 57441471 76588628 95735785 114882942 172324413 191471570 210618727 229765884 287207355 344648826 382943140 421237454 574414710 631856181 689297652 842474908 861622065 1053093635 1148829420 1263712362 1723244130 1895568543 2106187270 2527424724 3159280905 3446488260 3791137086 4212374540 6318561810 7582274172 9477842715 11622324299 12637123620 18955685430 23244648598 34866972897 37911370860 46489297196 58111621495 69733945794 104600918691 116223242990 127845567289 139467891588 174334864485 209201837382 232446485980 255691134578 348669728970 383536701867 418403674764 511382269156 523004593455 639227836445 697339457940 767073403734 1046009186910 1150610105601 1278455672890 1534146807468 1917683509335 2092018373820 2301220211202 2556911345780 3835367018670 4602440422404 5753050528005 7670734037340 11506101056010 23012202112020