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12220020102100 = 22522711601281651
BaseRepresentation
bin1011000111010011000111…
…1101010001001111010100
31121021020000012201100102211
42301310301331101033110
53100203100121231400
641553444424243204
72400603330016066
oct261646175211724
947236005640384
1012220020102100
113991532855028
1214543a4010504
136a845c604405
143036488d9736
15162d0dc81dba
hexb1d31f513d4

12220020102100 has 72 divisors (see below), whose sum is σ = 26632012692096. Its totient is φ = 4866912000000.

The previous prime is 12220020102047. The next prime is 12220020102179. The reversal of 12220020102100 is 120102002221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 43246275 + ... + 43527925.

It is an arithmetic number, because the mean of its divisors is an integer number (369889065168).

Almost surely, 212220020102100 is an apocalyptic number.

12220020102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220020102100 is an abundant number, since it is smaller than the sum of its proper divisors (14411992589996).

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

12220020102100 is a wasteful number, since it uses less digits than its factorization.

12220020102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283537 (or 283530 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12220020102100 its reverse (120102002221), we get a palindrome (12340122104321).

The spelling of 12220020102100 in words is "twelve trillion, two hundred twenty billion, twenty million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 271 542 1084 1355 1601 2710 3202 5420 6404 6775 8005 13550 16010 27100 32020 40025 80050 160100 281651 433871 563302 867742 1126604 1408255 1735484 2169355 2816510 4338710 5633020 7041275 8677420 10846775 14082550 21693550 28165100 43387100 76327421 152654842 305309684 381637105 450923251 763274210 901846502 1526548420 1803693004 1908185525 2254616255 3816371050 4509232510 7632742100 9018465020 11273081275 22546162550 45092325100 122200201021 244400402042 488800804084 611001005105 1222002010210 2444004020420 3055005025525 6110010051050 12220020102100