Search a number
-
+
20011322112 = 283431514013
BaseRepresentation
bin10010101000110001…
…001000101100000000
31220122121211111021020
4102220301020230000
5311440344301422
613105412025440
71305620300655
oct225061105400
956577744236
1020011322112
118539962541
123a65902280
131b6bb40202
14d7b9d1c2c
157c1c5595c
hex4a8c48b00

20011322112 has 144 divisors (see below), whose sum is σ = 54872471808. Its totient is φ = 6470553600.

The previous prime is 20011322053. The next prime is 20011322113. The reversal of 20011322112 is 21122311002.

It is a junction number, because it is equal to n+sod(n) for n = 20011322091 and 20011322100.

It is not an unprimeable number, because it can be changed into a prime (20011322113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4984618 + ... + 4988630.

It is an arithmetic number, because the mean of its divisors is an integer number (381058832).

Almost surely, 220011322112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20011322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27436235904).

20011322112 is an abundant number, since it is smaller than the sum of its proper divisors (34861149696).

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

20011322112 is a wasteful number, since it uses less digits than its factorization.

20011322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20011322112 its reverse (21122311002), we get a palindrome (41133633114).

The spelling of 20011322112 in words is "twenty billion, eleven million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 151 172 192 256 258 302 344 384 453 516 604 688 768 906 1032 1208 1376 1812 2064 2416 2752 3624 4013 4128 4832 5504 6493 7248 8026 8256 9664 11008 12039 12986 14496 16052 16512 19328 19479 24078 25972 28992 32104 33024 38656 38958 48156 51944 57984 64208 77916 96312 103888 115968 128416 155832 172559 192624 207776 256832 311664 345118 385248 415552 513664 517677 605963 623328 690236 770496 831104 1027328 1035354 1211926 1246656 1380472 1540992 1662208 1817889 2070708 2423852 2493312 2760944 3081984 3635778 4141416 4847704 4986624 5521888 7271556 8282832 9695408 11043776 14543112 16565664 19390816 22087552 26056409 29086224 33131328 38781632 44175104 52112818 58172448 66262656 77563264 78169227 104225636 116344896 132525312 155126528 156338454 208451272 232689792 312676908 416902544 465379584 625353816 833805088 1250707632 1667610176 2501415264 3335220352 5002830528 6670440704 10005661056 20011322112