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21221020001100 = 223521433158331183
BaseRepresentation
bin1001101001100111001110…
…10110111110001101001100
32210010201011101000022100110
410310303213112332031030
510240141122110013400
6113044445122200020
74320111441544653
oct464634726761514
983121141008313
1021221020001100
116841869618067
1224689387b3010
13bac1976972ca
1453516230419a
1526c01a11ee50
hex134ce75be34c

21221020001100 has 144 divisors (see below), whose sum is σ = 61483116828672. Its totient is φ = 5651236093440.

The previous prime is 21221020001047. The next prime is 21221020001197. The reversal of 21221020001100 is 110002012212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680516109 + ... + 680547291.

It is an arithmetic number, because the mean of its divisors is an integer number (426966089088).

Almost surely, 221221020001100 is an apocalyptic number.

21221020001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221020001100 is an abundant number, since it is smaller than the sum of its proper divisors (40262096827572).

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

21221020001100 is a wasteful number, since it uses less digits than its factorization.

21221020001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34216 (or 34209 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21221020001100 its reverse (110002012212), we get a palindrome (21331022013312).

The spelling of 21221020001100 in words is "twenty-one trillion, two hundred twenty-one billion, twenty million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1433 1583 2866 3166 4299 4749 5732 6332 7165 7915 8598 9498 14330 15830 17196 18996 21495 23745 28660 31183 31660 35825 39575 42990 47490 62366 71650 79150 85980 93549 94980 107475 118725 124732 143300 155915 158300 187098 214950 237450 311830 374196 429900 467745 474900 623660 779575 935490 1559150 1870980 2268439 2338725 3118300 4536878 4677450 6805317 9073756 9354900 11342195 13610634 22684390 27221268 34026585 44685239 45368780 49362689 56710975 68053170 89370478 98725378 113421950 134055717 136106340 148088067 170132925 178740956 197450756 223426195 226843900 246813445 268111434 296176134 340265850 446852390 493626890 536222868 592352268 670278585 680531700 740440335 893704780 987253780 1117130975 1234067225 1340557170 1480880670 2234261950 2468134450 2681114340 2961761340 3351392925 3702201675 4468523900 4936268900 6702785850 7404403350 13405571700 14808806700 70736733337 141473466674 212210200011 282946933348 353683666685 424420400022 707367333370 848840800044 1061051000055 1414734666740 1768418333425 2122102000110 3536836666850 4244204000220 5305255000275 7073673333700 10610510000550 21221020001100