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21002411311332 = 22311238184784521
BaseRepresentation
bin1001100011010000000010…
…10001000000000011100100
32202100210220011012020102220
410301220001101000003210
510223100414243430312
6112400212523232340
74265242221415053
oct461500121000344
982323804166386
1021002411311332
116768088720910
1224324a90786b0
13b94698cc88c9
14528744a2a39a
152664c3159c8c
hex131a014400e4

21002411311332 has 96 divisors (see below), whose sum is σ = 55786402473984. Its totient is φ = 6087509049600.

The previous prime is 21002411311319. The next prime is 21002411311367. The reversal of 21002411311332 is 23311311420012.

21002411311332 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×210024113113322 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248445232 + ... + 248529752.

It is an arithmetic number, because the mean of its divisors is an integer number (581108359104).

Almost surely, 221002411311332 is an apocalyptic number.

21002411311332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21002411311332 is an abundant number, since it is smaller than the sum of its proper divisors (34783991162652).

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

21002411311332 is a wasteful number, since it uses less digits than its factorization.

21002411311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166409 (or 166407 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 21002411311332 its reverse (23311311420012), we get a palindrome (44313722731344).

The spelling of 21002411311332 in words is "twenty-one trillion, two billion, four hundred eleven million, three hundred eleven thousand, three hundred thirty-two".

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 81847 84521 163694 169042 245541 253563 327388 338084 491082 507126 900317 929731 982164 1014252 1800634 1859462 1882481 1943983 2700951 2789193 3601268 3718924 3764962 3887966 5401902 5578386 5647443 5831949 7529924 7775932 10803804 11156772 11294886 11663898 20707291 21383813 22589772 23327796 41414582 42767626 62121873 64151439 82829164 85535252 124243746 128302878 248487492 256605756 6917790287 13835580574 20753370861 27671161148 41506741722 76095693157 83013483444 152191386314 159109176601 228287079471 304382772628 318218353202 456574158942 477327529803 636436706404 913148317884 954655059606 1750200942611 1909310119212 3500401885222 5250602827833 7000803770444 10501205655666 21002411311332