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21221002101012 = 22371739737432357
BaseRepresentation
bin1001101001100111001100…
…10010101100000100010100
32210010201010010022220001020
410310303212102230010110
510240141103014213022
6113044443242401140
74320111133443060
oct464634622540424
983121103286036
1021221002101012
11684185a5014aa
1224689328001b0
13bac193a6a93c
1453515dba4aa0
1526c01878635c
hex134ce64ac114

21221002101012 has 96 divisors (see below), whose sum is σ = 60069052447488. Its totient is φ = 5692113782784.

The previous prime is 21221002100929. The next prime is 21221002101023. The reversal of 21221002101012 is 21010120012212.

It is a junction number, because it is equal to n+sod(n) for n = 21221002100982 and 21221002101000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18149263 + ... + 19283094.

It is an arithmetic number, because the mean of its divisors is an integer number (625719296328).

Almost surely, 221221002101012 is an apocalyptic number.

It is an amenable number.

21221002101012 is an abundant number, since it is smaller than the sum of its proper divisors (38848050346476).

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

21221002101012 is a wasteful number, since it uses less digits than its factorization.

21221002101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37432785 (or 37432783 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21221002101012 its reverse (21010120012212), we get a palindrome (42231122113224).

The spelling of 21221002101012 in words is "twenty-one trillion, two hundred twenty-one billion, two million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 397 476 714 794 1191 1428 1588 2382 2779 4764 5558 6749 8337 11116 13498 16674 20247 26996 33348 40494 47243 80988 94486 141729 188972 283458 566916 37432357 74864714 112297071 149729428 224594142 262026499 449188284 524052998 636350069 786079497 1048105996 1272700138 1572158994 1909050207 2545400276 3144317988 3818100414 4454450483 7636200828 8908900966 13363351449 14860645729 17817801932 26726702898 29721291458 44581937187 53453405796 59442582916 89163874374 104024520103 178327748748 208049040206 252630977393 312073560309 416098080412 505261954786 624147120618 757892932179 1010523909572 1248294241236 1515785864358 1768416841751 3031571728716 3536833683502 5305250525253 7073667367004 10610501050506 21221002101012