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10021121132220 = 223251117297716017
BaseRepresentation
bin1001000111010011100101…
…0111011000011010111100
31022111000021011100221100200
42101310321113120122330
52303141224002212340
633151350044123500
72053000503120252
oct221647127303274
938430234327320
1010021121132220
113213a2a6a12a0
12115a1b1236590
13578cabba26b3
1426904c2945d2
15125a1431b330
hex91d395d86bc

10021121132220 has 144 divisors (see below), whose sum is σ = 35111436298848. Its totient is φ = 2286459002880.

The previous prime is 10021121132207. The next prime is 10021121132227. The reversal of 10021121132220 is 2223112112001.

10021121132220 is a `hidden beast` number, since 100 + 2 + 11 + 211 + 322 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10021121132193 and 10021121132202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021121132227) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 148824349 + ... + 148891668.

It is an arithmetic number, because the mean of its divisors is an integer number (243829418742).

Almost surely, 210021121132220 is an apocalyptic number.

10021121132220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021121132220 is an abundant number, since it is smaller than the sum of its proper divisors (25090315166628).

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

10021121132220 is a wasteful number, since it uses less digits than its factorization.

10021121132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297716060 (or 297716055 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10021121132220 its reverse (2223112112001), we get a palindrome (12244233244221).

The spelling of 10021121132220 in words is "ten trillion, twenty-one billion, one hundred twenty-one million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6732 8415 11220 16830 33660 297716017 595432034 893148051 1190864068 1488580085 1786296102 2679444153 2977160170 3274876187 3572592204 4465740255 5061172289 5358888306 5954320340 6549752374 8931480510 9824628561 10122344578 10717776612 13099504748 13397220765 15183516867 16374380935 17862961020 19649257122 20244689156 25305861445 26794441530 29473885683 30367033734 32748761870 39298514244 45550550601 49123142805 50611722890 53588883060 55672895179 58947771366 60734067468 65497523740 75917584335 91101101202 98246285610 101223445780 111345790358 117895542732 147369428415 151835168670 167018685537 182202202404 196492571220 222691580716 227752753005 278364475895 294738856830 303670337340 334037371074 455505506010 501056056611 556728951790 589477713660 668074742148 835093427685 911011012020 1002112113222 1113457903580 1670186855370 2004224226444 2505280283055 3340373710740 5010560566110 10021121132220