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112002102221000 = 2353349782341023
BaseRepresentation
bin11001011101110110000101…
…100001000101100011001000
3112200120022000002002112011012
4121131312011201011203020
5104140020301132033000
61034113015550423052
732406612334562045
oct3135660541054310
9480508002075135
10112002102221000
11327619088a6802
121068a911501a88
134a659a3220584
141d92d05a981cc
15ce3672045735
hex65dd858458c8

112002102221000 has 128 divisors (see below), whose sum is σ = 262875884544000. Its totient is φ = 44665672492800.

The previous prime is 112002102220991. The next prime is 112002102221011. The reversal of 112002102221000 is 122201200211.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2730206489 + ... + 2730247511.

It is an arithmetic number, because the mean of its divisors is an integer number (2053717848000).

Almost surely, 2112002102221000 is an apocalyptic number.

112002102221000 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 112002102221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131437942272000).

112002102221000 is an abundant number, since it is smaller than the sum of its proper divisors (150873782323000).

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

112002102221000 is a wasteful number, since it uses less digits than its factorization.

112002102221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49216 (or 49202 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112002102221000 its reverse (122201200211), we get a palindrome (112124303421211).

The spelling of 112002102221000 in words is "one hundred twelve trillion, two billion, one hundred two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 349 500 698 1000 1396 1745 2792 3490 6980 7823 8725 13960 15646 17450 31292 34900 39115 41023 43625 62584 69800 78230 82046 87250 156460 164092 174500 195575 205115 312920 328184 349000 391150 410230 782300 820460 977875 1025575 1564600 1640920 1955750 2051150 2730227 3911500 4102300 5127875 5460454 7823000 8204600 10255750 10920908 13651135 14317027 20511500 21841816 27302270 28634054 41023000 54604540 57268108 68255675 71585135 109209080 114536216 136511350 143170270 273022700 286340540 320922929 341278375 357925675 546045400 572681080 641845858 682556750 715851350 1283691716 1365113500 1431702700 1604614645 1789628375 2567383432 2730227000 2863405400 3209229290 3579256750 6418458580 7158513500 8023073225 12836917160 14317027000 16046146450 32092292900 40115366125 64184585800 80230732250 112002102221 160461464500 224004204442 320922929000 448008408884 560010511105 896016817768 1120021022210 2240042044420 2800052555525 4480084088840 5600105111050 11200210222100 14000262777625 22400420444200 28000525555250 56001051110500 112002102221000