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221002132023120 = 24357967791359271
BaseRepresentation
bin110010010000000000010001…
…100100101110011101010000
31001222111121010120021222121110
4302100000101210232131100
5212431344331244214440
62102010551114453320
764356606566105340
oct6220002144563520
91058447116258543
10221002132023120
1164466529016858
122095383aa34240
13964154745c096
143c807bb50cd20
151a83b8c92c080
hexc9001192e750

221002132023120 has 160 divisors (see below), whose sum is σ = 782987648440320. Its totient is φ = 50514213911040.

The previous prime is 221002132023089. The next prime is 221002132023139. The reversal of 221002132023120 is 21320231200122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161909085 + ... + 163268355.

It is an arithmetic number, because the mean of its divisors is an integer number (4893672802752).

Almost surely, 2221002132023120 is an apocalyptic number.

221002132023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002132023120 is an abundant number, since it is smaller than the sum of its proper divisors (561985516417200).

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

221002132023120 is a wasteful number, since it uses less digits than its factorization.

221002132023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456073 (or 1456067 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 221002132023120 its reverse (21320231200122), we get a palindrome (242322363223242).

The spelling of 221002132023120 in words is "two hundred twenty-one trillion, two billion, one hundred thirty-two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 96779 193558 290337 387116 483895 580674 677453 774232 967790 1161348 1354906 1359271 1451685 1548464 1935580 2032359 2322696 2709812 2718542 2903370 3387265 3871160 4064718 4077813 4645392 5419624 5437084 5806740 6774530 6796355 7742320 8129436 8155626 9514897 10161795 10839248 10874168 11613480 13549060 13592710 16258872 16311252 19029794 20323590 20389065 21748336 23226960 27098120 27185420 28544691 32517744 32622504 38059588 40647180 40778130 47574485 54196240 54370840 57089382 65245008 76119176 81294360 81556260 95148970 108741680 114178764 142723455 152238352 162588720 163112520 190297940 228357528 285446910 326225040 380595880 456715056 570893820 761191760 1141787640 2283575280 131548888109 263097776218 394646664327 526195552436 657744440545 789293328654 920842216763 1052391104872 1315488881090 1578586657308 1841684433526 1973233321635 2104782209744 2630977762180 2762526650289 3157173314616 3683368867052 3946466643270 4604211083815 5261955524360 5525053300578 6314346629232 7366737734104 7892933286540 9208422167630 10523911048720 11050106601156 13812633251445 14733475468208 15785866573080 18416844335260 22100213202312 27625266502890 31571733146160 36833688670520 44200426404624 55250533005780 73667377341040 110501066011560 221002132023120