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110001200021226 = 232171792239005713
BaseRepresentation
bin11001000000101110100110…
…011100111011111011101010
3112102111000022202121011202200
4121000232212130323323222
5103404224424201134401
61025541504220241030
732112216165523653
oct3100564634737352
9472430282534680
10110001200021226
1132060279760978
1210406b773a0176
13494c0b7aa24a7
141d2412d47852a
15cab5b4c54686
hex640ba673beea

110001200021226 has 96 divisors (see below), whose sum is σ = 254903492712960. Its totient is φ = 34163492677632.

The previous prime is 110001200021213. The next prime is 110001200021227. The reversal of 110001200021226 is 622120002100011.

110001200021226 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1100012000212262 (a number of 29 digits) contains 22 as substring.

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 = 110001200021199 and 110001200021208.

It is not an unprimeable number, because it can be changed into a prime (110001200021227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7711746 + ... + 16717458.

It is an arithmetic number, because the mean of its divisors is an integer number (2655244715760).

Almost surely, 2110001200021226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110001200021226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127451746356480).

110001200021226 is an abundant number, since it is smaller than the sum of its proper divisors (144902292691734).

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

110001200021226 is a wasteful number, since it uses less digits than its factorization.

110001200021226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9006140 (or 9006137 counting only the distinct ones).

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

Adding to 110001200021226 its reverse (622120002100011), we get a palindrome (732121202121237).

The spelling of 110001200021226 in words is "one hundred ten trillion, one billion, two hundred million, twenty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 179 223 306 358 446 537 669 1074 1338 1611 2007 3043 3222 3791 4014 6086 7582 9129 11373 18258 22746 27387 34119 39917 54774 68238 79834 119751 239502 359253 678589 718506 1357178 2035767 4071534 6107301 9005713 12214602 18011426 27017139 54034278 81051417 153097121 162102834 306194242 459291363 918582726 1377874089 1612022627 2008273999 2755748178 3224045254 4016547998 4836067881 6024821997 9672135762 12049643994 14508203643 18074465991 27404384659 29016407286 34140657983 36148931982 54808769318 68281315966 82213153977 102421973949 164426307954 204843947898 246639461931 307265921847 359481045821 493278923862 614531843694 718962091642 1078443137463 2156886274926 3235329412389 6111177778957 6470658824778 12222355557914 18333533336871 36667066673742 55000600010613 110001200021226