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21114333144410 = 251117101338932987
BaseRepresentation
bin1001100110100000100000…
…10100111010010101011010
32202202111210011212110011212
410303100100110322111122
510231414123241110120
6112523442444423122
74306313600330312
oct463202024722532
982674704773155
1021114333144410
1168005a1679620
122450123547aa2
13ba20c4701c3c
1452dd2115c442
15269373d246c5
hex13341053a55a

21114333144410 has 128 divisors (see below), whose sum is σ = 44348824408320. Its totient is φ = 7152420352000.

The previous prime is 21114333144407. The next prime is 21114333144419. The reversal of 21114333144410 is 1444133341112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21114333144419) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 640063937 + ... + 640096923.

It is an arithmetic number, because the mean of its divisors is an integer number (346475190690).

Almost surely, 221114333144410 is an apocalyptic number.

21114333144410 is an abundant number, since it is smaller than the sum of its proper divisors (23234491263910).

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

21114333144410 is a wasteful number, since it uses less digits than its factorization.

21114333144410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36512.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 21114333144410 its reverse (1444133341112), we get a palindrome (22558466485522).

The spelling of 21114333144410 in words is "twenty-one trillion, one hundred fourteen billion, three hundred thirty-three million, one hundred forty-four thousand, four hundred ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 101 110 170 187 202 374 505 935 1010 1111 1717 1870 2222 3389 3434 5555 6778 8585 11110 16945 17170 18887 32987 33890 37279 37774 57613 65974 74558 94435 115226 164935 186395 188870 288065 329870 342289 362857 372790 560779 576130 633743 684578 725714 1121558 1267486 1711445 1814285 2803895 3168715 3331687 3422890 3628570 3765179 5607790 5818913 6168569 6337430 6663374 7530358 11637826 12337138 16658435 18825895 29094565 30842845 33316870 36648557 37651790 56638679 58189130 61685690 64008043 73297114 111792943 113277358 128016086 183242785 223585886 283193395 320040215 366485570 558964715 566386790 623025469 640080430 1117929430 1229722373 1246050938 1900480031 2459444746 3115127345 3800960062 6148611865 6230254690 9502400155 11291087243 12297223730 19004800310 20905280341 22582174486 41810560682 56455436215 104526401705 112910872430 124201959673 191948483131 209052803410 248403919346 383896966262 621009798365 959742415655 1242019596730 1919484831310 2111433314441 4222866628882 10557166572205 21114333144410