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221120010121120 = 25511373395577551
BaseRepresentation
bin110010010001101110000011…
…101001111110111110100000
31001222220212101200201210202221
4302101232003221332332200
5212440312240042333440
62102141044051320424
764401251661313465
oct6221560351767640
91058825350653687
10221120010121120
1164501519143560
1220972657bb0114
13964c6b1b5a526
143c863a0b0766c
151a86c8b490d4a
hexc91b83a7efa0

221120010121120 has 96 divisors (see below), whose sum is σ = 585288911483136. Its totient is φ = 78234106752000.

The previous prime is 221120010121103. The next prime is 221120010121123. The reversal of 221120010121120 is 21121010021122.

It is a super-2 number, since 2×2211200101211202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 221120010121094 and 221120010121103.

It is not an unprimeable number, because it can be changed into a prime (221120010121123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1697723656 + ... + 1697853895.

It is an arithmetic number, because the mean of its divisors is an integer number (6096759494616).

Almost surely, 2221120010121120 is an apocalyptic number.

221120010121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221120010121120 is an abundant number, since it is smaller than the sum of its proper divisors (364168901362016).

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

221120010121120 is a wasteful number, since it uses less digits than its factorization.

221120010121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395577614 (or 3395577606 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221120010121120 its reverse (21121010021122), we get a palindrome (242241020142242).

The spelling of 221120010121120 in words is "two hundred twenty-one trillion, one hundred twenty billion, ten million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 74 80 88 110 148 160 176 185 220 296 352 370 407 440 592 740 814 880 1184 1480 1628 1760 2035 2960 3256 4070 5920 6512 8140 13024 16280 32560 65120 3395577551 6791155102 13582310204 16977887755 27164620408 33955775510 37351353061 54329240816 67911551020 74702706122 108658481632 125636369387 135823102040 149405412244 186756765305 251272738774 271646204080 298810824488 373513530610 502545477548 543292408160 597621648976 628181846935 747027061220 1005090955096 1195243297952 1256363693870 1382000063257 1494054122440 2010181910192 2512727387740 2764000126514 2988108244880 4020363820384 5025454775480 5528000253028 5976216489760 6910000316285 10050909550960 11056000506056 13820000632570 20101819101920 22112001012112 27640001265140 44224002024224 55280002530280 110560005060560 221120010121120