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11220010120110 = 235111011396324109
BaseRepresentation
bin1010001101000101110010…
…1101111011001110101110
31110201121210210111210020110
42203101130231323032232
52432312040042320420
635510222420000450
72235422211304041
oct243213455731656
943647723453213
1011220010120110
11363641a231560
12131261a830126
1363507225228c
142ab0a1014c58
15146cd16e7ee0
hexa345cb7b3ae

11220010120110 has 128 divisors (see below), whose sum is σ = 29670233541120. Its totient is φ = 2692767168000.

The previous prime is 11220010120091. The next prime is 11220010120139. The reversal of 11220010120110 is 1102101002211.

It is a super-3 number, since 3×112200101201103 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 465374736 + ... + 465398844.

It is an arithmetic number, because the mean of its divisors is an integer number (231798699540).

Almost surely, 211220010120110 is an apocalyptic number.

11220010120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220010120110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14835116770560).

11220010120110 is an abundant number, since it is smaller than the sum of its proper divisors (18450223421010).

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

11220010120110 is a wasteful number, since it uses less digits than its factorization.

11220010120110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38194.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11220010120110 its reverse (1102101002211), we get a palindrome (12322111122321).

The spelling of 11220010120110 in words is "eleven trillion, two hundred twenty billion, ten million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 2222 3030 3333 5555 6666 11110 13963 16665 24109 27926 33330 41889 48218 69815 72327 83778 120545 139630 144654 153593 209445 241090 265199 307186 361635 418890 460779 530398 723270 767965 795597 921558 1325995 1410263 1535930 1591194 2303895 2435009 2651990 2820526 3977985 4230789 4607790 4870018 7051315 7305027 7955970 8461578 12175045 14102630 14610054 15512893 21153945 24350090 26785099 31025786 36525135 42307890 46538679 53570198 73050270 77564465 80355297 93077358 133925495 155128930 160710594 232693395 267850990 336633967 401776485 465386790 673267934 803552970 1009901901 1683169835 2019803802 3366339670 3702973637 5049509505 7405947274 10099019010 11108920911 18514868185 22217841822 34000030667 37029736370 55544604555 68000061334 102000092001 111089209110 170000153335 204000184002 340000306670 374000337337 510000460005 748000674674 1020000920010 1122001012011 1870001686685 2244002024022 3740003373370 5610005060055 11220010120110