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112002102221020 = 22511797237890467
BaseRepresentation
bin11001011101110110000101…
…100001000101100011011100
3112200120022000002002112011221
4121131312011201011203130
5104140020301132033040
61034113015550423124
732406612334562104
oct3135660541054334
9480508002075157
10112002102221020
11327619088a6820
121068a911501aa4
134a659a322059b
141d92d05a98204
15ce367204574a
hex65dd858458dc

112002102221020 has 96 divisors (see below), whose sum is σ = 259870761722880. Its totient is φ = 40206890730240.

The previous prime is 112002102221011. The next prime is 112002102221069. The reversal of 112002102221020 is 20122201200211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112002102220985 and 112002102221003.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 125333827 + ... + 126224293.

It is an arithmetic number, because the mean of its divisors is an integer number (2706987101280).

Almost surely, 2112002102221020 is an apocalyptic number.

112002102221020 is a gapful number since it is divisible by the number (10) 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 112002102221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129935380861440).

112002102221020 is an abundant number, since it is smaller than the sum of its proper divisors (147868659501860).

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

112002102221020 is a wasteful number, since it uses less digits than its factorization.

112002102221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897803 (or 897801 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112002102221020 its reverse (20122201200211), we get a palindrome (132124303421231).

The spelling of 112002102221020 in words is "one hundred twelve trillion, two billion, one hundred two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 3476 4345 7237 8690 14474 17380 28948 36185 72370 79607 144740 159214 318428 398035 571723 796070 890467 1143446 1592140 1780934 2286892 2858615 3561868 4452335 5717230 6288953 8904670 9795137 11434460 12577906 17809340 19590274 25155812 31444765 39180548 48975685 62889530 70346893 97951370 125779060 140693786 195902740 281387572 351734465 703468930 773815823 1406937860 1547631646 3095263292 3869079115 6444309679 7738158230 12888619358 15476316460 25777238716 32221548395 64443096790 70887406469 128886193580 141774812938 283549625876 354437032345 509100464641 708874064690 1018200929282 1417748129380 2036401858564 2545502323205 5091004646410 5600105111051 10182009292820 11200210222102 22400420444204 28000525555255 56001051110510 112002102221020