Search a number
-
+
20322122113120 = 2555913715713629
BaseRepresentation
bin1001001111011100111001…
…10111101010000001100000
32122221202221122001022120211
410213232130313222001200
510130424201230104440
6111115504244543504
74165140062555002
oct447563467520140
978852848038524
1020322122113120
116525622155353
1223426916b1b94
13b454a234b2b9
1450384b44a372
15253959744eea
hex127b9cdea060

20322122113120 has 96 divisors (see below), whose sum is σ = 49181147719200. Its totient is φ = 7932742250496.

The previous prime is 20322122113091. The next prime is 20322122113261. The reversal of 20322122113120 is 2131122122302.

It is a super-2 number, since 2×203221221131202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20322122113091 and 20322122113100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6563535 + ... + 9150094.

It is an arithmetic number, because the mean of its divisors is an integer number (512303622075).

Almost surely, 220322122113120 is an apocalyptic number.

20322122113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20322122113120 is an abundant number, since it is smaller than the sum of its proper divisors (28859025606080).

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

20322122113120 is a wasteful number, since it uses less digits than its factorization.

20322122113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15713840 (or 15713832 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 20322122113120 its reverse (2131122122302), we get a palindrome (22453244235422).

The spelling of 20322122113120 in words is "twenty trillion, three hundred twenty-two billion, one hundred twenty-two million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 137 160 236 274 295 472 548 590 685 944 1096 1180 1370 1888 2192 2360 2740 4384 4720 5480 8083 9440 10960 16166 21920 32332 40415 64664 80830 129328 161660 258656 323320 646640 1293280 15713629 31427258 62854516 78568145 125709032 157136290 251418064 314272580 502836128 628545160 927104111 1257090320 1854208222 2152767173 2514180640 3708416444 4305534346 4635520555 7416832888 8611068692 9271041110 10763835865 14833665776 17222137384 18542082220 21527671730 29667331552 34444274768 37084164440 43055343460 68888549536 74168328880 86110686920 127013263207 148336657760 172221373840 254026526414 344442747680 508053052828 635066316035 1016106105656 1270132632070 2032212211312 2540265264140 4064424422624 5080530528280 10161061056560 20322122113120