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221031020100 = 223521166979097
BaseRepresentation
bin1100110111011001111…
…0011011011001000100
3210010112000212012102210
43031312132123121010
512110132420120400
6245312405503420
721653232446262
oct3156636333104
9703460765383
10221031020100
1185814280950
1236a06a11b70
1317ac64a5377
14a9ab2ab432
155b3999c950
hex337679b644

221031020100 has 72 divisors (see below), whose sum is σ = 697654284768. Its totient is φ = 53583276800.

The previous prime is 221031020059. The next prime is 221031020101. The reversal of 221031020100 is 1020130122.

It is a super-3 number, since 3×2210310201003 (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 not an unprimeable number, because it can be changed into a prime (221031020101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33486249 + ... + 33492848.

It is an arithmetic number, because the mean of its divisors is an integer number (9689642844).

Almost surely, 2221031020100 is an apocalyptic number.

221031020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221031020100 is an abundant number, since it is smaller than the sum of its proper divisors (476623264668).

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

221031020100 is a wasteful number, since it uses less digits than its factorization.

221031020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66979125 (or 66979118 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 221031020100 its reverse (1020130122), we get a palindrome (222051150222).

The spelling of 221031020100 in words is "two hundred twenty-one billion, thirty-one million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 66979097 133958194 200937291 267916388 334895485 401874582 669790970 736770067 803749164 1004686455 1339581940 1473540134 1674477425 2009372910 2210310201 2947080268 3348954850 3683850335 4018745820 4420620402 5023432275 6697909700 7367700670 8841240804 10046864550 11051551005 14735401340 18419251675 20093729100 22103102010 36838503350 44206204020 55257755025 73677006700 110515510050 221031020100