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221101002012 = 223112372826417
BaseRepresentation
bin1100110111101010100…
…1011000110100011100
3210010200220112122120110
43031322221120310130
512110303324031022
6245323345450020
721655042336212
oct3157251306434
9703626478513
10221101002012
118584a82a340
1236a26340910
1317b07b38897
14a9b66c6cb2
155b40bc300c
hex337aa58d1c

221101002012 has 48 divisors (see below), whose sum is σ = 587272234752. Its totient is φ = 64087246080.

The previous prime is 221101001993. The next prime is 221101002037. The reversal of 221101002012 is 210200101122.

221101002012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2211010020123 (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36410173 + ... + 36416244.

It is an arithmetic number, because the mean of its divisors is an integer number (12234838224).

Almost surely, 2221101002012 is an apocalyptic number.

221101002012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221101002012 is an abundant number, since it is smaller than the sum of its proper divisors (366171232740).

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

221101002012 is a wasteful number, since it uses less digits than its factorization.

221101002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72826458 (or 72826456 counting only the distinct ones).

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

Adding to 221101002012 its reverse (210200101122), we get a palindrome (431301103134).

The spelling of 221101002012 in words is "two hundred twenty-one billion, one hundred one million, two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 72826417 145652834 218479251 291305668 436958502 801090587 873917004 1602181174 1675007591 2403271761 3204362348 3350015182 4806543522 5025022773 6700030364 9613087044 10050045546 18425083501 20100091092 36850167002 55275250503 73700334004 110550501006 221101002012