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2120332111304 = 23111715788110247
BaseRepresentation
bin11110110110101101101…
…001000110110111001000
321111200221120221110112012
4132312231221012313020
5234214420010030204
64302022255435052
7306121543401011
oct36665551066710
97450846843465
102120332111304
11748256222060
122a2b26b25a88
13124c3c4b04b4
14748a5d68008
153a24c1d676e
hex1edada46dc8

2120332111304 has 128 divisors (see below), whose sum is σ = 4627109733120. Its totient is φ = 900205363200.

The previous prime is 2120332111297. The next prime is 2120332111363. The reversal of 2120332111304 is 4031112330212.

It is a self number, because there is not a number n which added to its sum of digits gives 2120332111304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206917109 + ... + 206927355.

It is an arithmetic number, because the mean of its divisors is an integer number (36149294790).

Almost surely, 22120332111304 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 2120332111304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313554866560).

2120332111304 is an abundant number, since it is smaller than the sum of its proper divisors (2506777621816).

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

2120332111304 is a wasteful number, since it uses less digits than its factorization.

2120332111304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11319 (or 11315 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2120332111304 its reverse (4031112330212), we get a palindrome (6151444441516).

The spelling of 2120332111304 in words is "two trillion, one hundred twenty billion, three hundred thirty-two million, one hundred eleven thousand, three hundred four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 157 187 314 374 628 748 881 1256 1496 1727 1762 2669 3454 3524 5338 6908 7048 9691 10247 10676 13816 14977 19382 20494 21352 29359 29954 38764 40988 58718 59908 77528 81976 112717 117436 119816 138317 164747 174199 225434 234872 276634 329494 348398 450868 553268 658988 696796 901736 1106536 1317976 1393592 1521487 1608779 1916189 2351389 3042974 3217558 3832378 4702778 6085948 6435116 7664756 9027607 9405556 12171896 12870232 15329512 17696569 18055214 18811112 25865279 27349243 35393138 36110428 51730558 54698486 70786276 72220856 99303677 103461116 109396972 141572552 153469319 198607354 206922232 218793944 300841673 306938638 397214708 601683346 613877276 794429416 1203366692 1227754552 1417334299 1688162509 2406733384 2834668598 3376325018 5669337196 6752650036 11338674392 13505300072 15590677289 24094683083 31181354578 48189366166 62362709156 96378732332 124725418312 192757464664 265041513913 530083027826 1060166055652 2120332111304