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11021430011312 = 2472383331911059
BaseRepresentation
bin1010000001100010000001…
…1010111011010110110000
31110000122020102000001022002
42200120200122323112300
52421033342040330222
635235101451033132
72215162211236400
oct240304032732660
943018212001262
1011021430011312
11356a186a05666
1212a003a73b7a8
1361c416157616
142a1623742800
15141a5cc47392
hexa06206bb5b0

11021430011312 has 120 divisors (see below), whose sum is σ = 24915005337600. Its totient is φ = 4709291868288.

The previous prime is 11021430011227. The next prime is 11021430011321. The reversal of 11021430011312 is 21311003412011.

It is a super-2 number, since 2×110214300113122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 996597239 + ... + 996608297.

It is an arithmetic number, because the mean of its divisors is an integer number (207625044480).

Almost surely, 211021430011312 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 11021430011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12457502668800).

11021430011312 is an abundant number, since it is smaller than the sum of its proper divisors (13893575326288).

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

11021430011312 is a wasteful number, since it uses less digits than its factorization.

11021430011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14783 (or 14770 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11021430011312 its reverse (21311003412011), we get a palindrome (32332433423323).

The spelling of 11021430011312 in words is "eleven trillion, twenty-one billion, four hundred thirty million, eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 383 392 766 784 1532 2681 3064 3319 5362 6128 6638 10724 11059 13276 18767 21448 22118 23233 26552 37534 42896 44236 46466 53104 75068 77413 88472 92932 150136 154826 162631 176944 185864 300272 309652 325262 371728 541891 619304 650524 1083782 1238608 1271177 1301048 2167564 2542354 2602096 4235597 4335128 5084708 8471194 8670256 8898239 10169416 16942388 17796478 20338832 29649179 33884776 35592956 36704821 59298358 62287673 67769552 71185912 73409642 118596716 124575346 142371824 146819284 207544253 237193432 249150692 256933747 293638568 415088506 474386864 498301384 513867494 587277136 830177012 996602768 1027734988 1660354024 1798536229 2055469976 3320708048 3597072458 4110939952 7194144916 14057946443 14388289832 28115892886 28776579664 56231785772 98405625101 112463571544 196811250202 224927143088 393622500404 688839375707 787245000808 1377678751414 1574490001616 2755357502828 5510715005656 11021430011312