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110122101021132 = 22345475623110503
BaseRepresentation
bin11001000010011111001100…
…101101101001100111001100
3112102220120101120011022210000
4121002133030231221213030
5103413220030330134012
61030113221140244300
732124026215211154
oct3102371455514714
9472816346138700
10110122101021132
11320a7580170612
12104264989a0690
13495a6148433a5
141d29d1c31b764
15cae7ddd82ddc
hex6427ccb699cc

110122101021132 has 120 divisors (see below), whose sum is σ = 288461116165376. Its totient is φ = 36633412644192.

The previous prime is 110122101021061. The next prime is 110122101021137. The reversal of 110122101021132 is 231120101221011.

It is a happy number.

110122101021132 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1101221010211322 (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 not an unprimeable number, because it can be changed into a prime (110122101021137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 996497793 + ... + 996608295.

Almost surely, 2110122101021132 is an apocalyptic number.

110122101021132 is a gapful number since it is divisible by the number (12) 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 110122101021132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144230558082688).

110122101021132 is an abundant number, since it is smaller than the sum of its proper divisors (178339015144244).

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

110122101021132 is a wasteful number, since it uses less digits than its factorization.

110122101021132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116689 (or 116678 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 110122101021132 its reverse (231120101221011), we get a palindrome (341242202242143).

The spelling of 110122101021132 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred one million, twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 547 1094 1641 2188 3282 4923 5623 6564 9846 11246 14769 16869 19692 22492 29538 33738 44307 50607 59076 67476 88614 101214 110503 151821 177228 202428 221006 303642 331509 442012 455463 607284 663018 910926 994527 1326036 1821852 1989054 2983581 3075781 3978108 5967162 6151562 8950743 9227343 11934324 12303124 17901486 18454686 27682029 35802972 36909372 55364058 60445141 83046087 110728116 120890282 166092174 181335423 241780564 249138261 332184348 362670846 498276522 544006269 621358369 725341692 996553044 1088012538 1242716738 1632018807 1864075107 2176025076 2485433476 3264037614 3728150214 4896056421 5592225321 6528075228 7456300428 9792112842 11184450642 16776675963 19584225684 22368901284 33553351926 50330027889 67106703852 100660055778 201320111556 339883027843 679766055686 1019649083529 1359532111372 2039298167058 3058947250587 4078596334116 6117894501174 9176841751761 12235789002348 18353683503522 27530525255283 36707367007044 55061050510566 110122101021132