Search a number
-
+
20320212332112 = 24371115541353767
BaseRepresentation
bin1001001111011001010110…
…00010011010111001010000
32122221121000112110101112220
410213230223002122321100
510130411243324111422
6111114550543421040
74165041542650230
oct447545302327120
978847015411486
1020320212332112
116524832129640
122342239bb4780
13b452597a1774
14503709957cc0
15253896c53e5c
hex127b2b09ae50

20320212332112 has 160 divisors (see below), whose sum is σ = 65451313895424. Its totient is φ = 5277622694400.

The previous prime is 20320212332029. The next prime is 20320212332117. The reversal of 20320212332112 is 21123321202302.

It is a super-2 number, since 2×203202123321122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20320212332117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57262653 + ... + 57616419.

Almost surely, 220320212332112 is an apocalyptic number.

20320212332112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20320212332112 is an abundant number, since it is smaller than the sum of its proper divisors (45131101563312).

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

20320212332112 is a wasteful number, since it uses less digits than its factorization.

20320212332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369337 (or 369331 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20320212332112 its reverse (21123321202302), we get a palindrome (41443533534414).

The spelling of 20320212332112 in words is "twenty trillion, three hundred twenty billion, two hundred twelve million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 15541 31082 46623 62164 93246 108787 124328 170951 186492 217574 248656 326361 341902 353767 372984 435148 512853 652722 683804 707534 745968 870296 1025706 1061301 1196657 1305444 1367608 1415068 1740592 2051412 2122602 2393314 2476369 2610888 2735216 2830136 3589971 3891437 4102824 4245204 4786628 4952738 5221776 5660272 7179942 7429107 7782874 8205648 8490408 9573256 9905476 11674311 14359884 14858214 15565748 16980816 19146512 19810952 23348622 27240059 28719768 29716428 31131496 39621904 46697244 54480118 57439536 59432856 62262992 81720177 93394488 108960236 118865712 163440354 186788976 217920472 326880708 435840944 653761416 1307522832 5497892947 10995785894 16493678841 21991571788 32987357682 38485250629 43983143576 60476822417 65974715364 76970501258 87966287152 115455751887 120953644834 131949430728 153941002516 181430467251 230911503774 241907289668 263898861456 307882005032 362860934502 423337756919 461823007548 483814579336 615764010064 725721869004 846675513838 923646015096 967629158672 1270013270757 1451443738008 1693351027676 1847292030192 2540026541514 2902887476016 3386702055352 5080053083028 6773404110704 10160106166056 20320212332112