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110012221222020 = 223251381157970123
BaseRepresentation
bin11001000000111000110111…
…010111011110110010000100
3112102112001202211221012000200
4121000320313113132302010
5103404420012113101040
61025550530003010500
732113056253266465
oct3100706727366204
9472461684835020
10110012221222020
1132064a1495a187
1210409132369a30
134950153210990
141d248970a6d6c
15caba0c5d0630
hex640e375dec84

110012221222020 has 144 divisors (see below), whose sum is σ = 359816385819072. Its totient is φ = 27046540120320.

The previous prime is 110012221221857. The next prime is 110012221222021. The reversal of 110012221222020 is 20222122210011.

It is a happy number.

110012221222020 is a `hidden beast` number, since 110 + 0 + 122 + 212 + 220 + 2 + 0 = 666.

110012221222020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 110012221221984 and 110012221222002.

It is not an unprimeable number, because it can be changed into a prime (110012221222021) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 27087322 + ... + 30882801.

Almost surely, 2110012221222020 is an apocalyptic number.

110012221222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110012221222020 is an abundant number, since it is smaller than the sum of its proper divisors (249804164597052).

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

110012221222020 is a wasteful number, since it uses less digits than its factorization.

110012221222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57970962 (or 57970957 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 110012221222020 its reverse (20222122210011), we get a palindrome (130234343432031).

The spelling of 110012221222020 in words is "one hundred ten trillion, twelve billion, two hundred twenty-one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 811 1170 1622 2340 2433 3244 4055 4866 7299 8110 9732 10543 12165 14598 16220 21086 24330 29196 31629 36495 42172 48660 52715 63258 72990 94887 105430 126516 145980 158145 189774 210860 316290 379548 474435 632580 948870 1897740 57970123 115940246 173910369 231880492 289850615 347820738 521731107 579701230 695641476 753611599 869551845 1043462214 1159402460 1507223198 1739103690 2086924428 2260834797 2608655535 3014446396 3478207380 3768057995 4521669594 5217311070 6782504391 7536115990 9043339188 10434622140 11304173985 13565008782 15072231980 22608347970 27130017564 33912521955 45216695940 47013769753 67825043910 94027539506 135650087820 141041309259 188055079012 235068848765 282082618518 423123927777 470137697530 564165237036 611179006789 705206546295 846247855554 940275395060 1222358013578 1410413092590 1692495711108 1833537020367 2115619638885 2444716027156 2820826185180 3055895033945 3667074040734 4231239277770 5500611061101 6111790067890 7334148081468 8462478555540 9167685101835 11001222122202 12223580135780 18335370203670 22002444244404 27503055305505 36670740407340 55006110611010 110012221222020