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2111312221020 = 22325371831173137
BaseRepresentation
bin11110101110010100000…
…000111101001101011100
321110211122222102120011200
4132232110000331031130
5234042431412033040
64253531244115500
7305352166525542
oct36562400751534
97424588376150
102111312221020
11744447785a82
122a122a235b90
13124132887a02
147428c055d92
1539dc03cb630
hex1eb9403d35c

2111312221020 has 144 divisors (see below), whose sum is σ = 6581033554368. Its totient is φ = 547497584640.

The previous prime is 2111312221003. The next prime is 2111312221033. The reversal of 2111312221020 is 201222131112.

2111312221020 is a `hidden beast` number, since 2 + 111 + 312 + 221 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2111312220984 and 2111312221002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12107892 + ... + 12281028.

Almost surely, 22111312221020 is an apocalyptic number.

2111312221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111312221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290516777184).

2111312221020 is an abundant number, since it is smaller than the sum of its proper divisors (4469721333348).

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

2111312221020 is a wasteful number, since it uses less digits than its factorization.

2111312221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175020 (or 175015 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2111312221020 its reverse (201222131112), we get a palindrome (2312534352132).

It can be divided in two parts, 2111312 and 221020, that added together give a palindrome (2332332).

The spelling of 2111312221020 in words is "two trillion, one hundred eleven billion, three hundred twelve million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 1831 2220 3330 3662 5493 6660 7324 9155 10986 16479 18310 21972 27465 32958 36620 54930 65916 67747 82395 109860 135494 164790 173137 203241 270988 329580 338735 346274 406482 519411 609723 677470 692548 812964 865685 1016205 1038822 1219446 1354940 1558233 1731370 2032410 2077644 2438892 2597055 3048615 3116466 3462740 4064820 5194110 6097230 6232932 6406069 7791165 10388220 12194460 12812138 15582330 19218207 25624276 31164660 32030345 38436414 57654621 64060690 76872828 96091035 115309242 128121380 192182070 230618484 288273105 317013847 384364140 576546210 634027694 951041541 1153092420 1268055388 1585069235 1902083082 2853124623 3170138470 3804166164 4755207705 5706249246 6340276940 9510415410 11412498492 11729512339 14265623115 19020830820 23459024678 28531246230 35188537017 46918049356 57062492460 58647561695 70377074034 105565611051 117295123390 140754148068 175942685085 211131222102 234590246780 351885370170 422262444204 527828055255 703770740340 1055656110510 2111312221020