Search a number
-
+
20233012233312 = 2533109121464563
BaseRepresentation
bin1001001100110110111011…
…00000011100010001100000
32122122020221102002101211000
410212123131200130101200
510122444202112431222
6111010530102552000
74155533622231024
oct446333540342140
978566842071730
1020233012233312
1164a0854a2878a
122329362a38600
13b39c70a73778
144dd3d6856384
152514915e29ac
hex1266dd81c460

20233012233312 has 96 divisors (see below), whose sum is σ = 59067045797760. Its totient is φ = 6738155303040.

The previous prime is 20233012233277. The next prime is 20233012233361. The reversal of 20233012233312 is 21333221033202.

20233012233312 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 301 + 2 + 23 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 9789658 + ... + 11674905.

It is an arithmetic number, because the mean of its divisors is an integer number (615281727060).

Almost surely, 220233012233312 is an apocalyptic number.

It is an amenable number.

20233012233312 is an abundant number, since it is smaller than the sum of its proper divisors (38834033564448).

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

20233012233312 is a wasteful number, since it uses less digits than its factorization.

20233012233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21465673 (or 21465659 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 20233012233312 its reverse (21333221033202), we get a palindrome (41566233266514).

The spelling of 20233012233312 in words is "twenty trillion, two hundred thirty-three billion, twelve million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1091 2182 3273 4364 6546 8728 9819 13092 17456 19638 26184 29457 34912 39276 52368 58914 78552 104736 117828 157104 235656 314208 471312 942624 21464563 42929126 64393689 85858252 128787378 171716504 193181067 257574756 343433008 386362134 515149512 579543201 686866016 772724268 1030299024 1159086402 1545448536 2060598048 2318172804 3090897072 4636345608 6181794144 9272691216 18545382432 23417838233 46835676466 70253514699 93671352932 140507029398 187342705864 210760544097 281014058796 374685411728 421521088194 562028117592 632281632291 749370823456 843042176388 1124056235184 1264563264582 1686084352776 2248112470368 2529126529164 3372168705552 5058253058328 6744337411104 10116506116656 20233012233312