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21313113100002 = 23253113409483389
BaseRepresentation
bin1001101100010010110001…
…00010010000111011100010
32210110111212111102110101100
410312021120202100323202
510243143223423200002
6113155035313015230
74326551545143453
oct466113042207342
983414774373340
1021313113100002
116877927793359
12248275a554516
13bb7a8302c239
145397bb1b312a
1526e60a0ee11c
hex136258890ee2

21313113100002 has 96 divisors (see below), whose sum is σ = 47582223951600. Its totient is φ = 6891736190976.

The previous prime is 21313113099997. The next prime is 21313113100031. The reversal of 21313113100002 is 20000131131312.

It can be written as a sum of positive squares in 8 ways, for example, as 15514846554321 + 5798266545681 = 3938889^2 + 2407959^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 43849324 + ... + 44332712.

Almost surely, 221313113100002 is an apocalyptic number.

21313113100002 is an abundant number, since it is smaller than the sum of its proper divisors (26269110851598).

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

21313113100002 is a wasteful number, since it uses less digits than its factorization.

21313113100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483972 (or 483969 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21313113100002 its reverse (20000131131312), we get a palindrome (41313244231314).

The spelling of 21313113100002 in words is "twenty-one trillion, three hundred thirteen billion, one hundred thirteen million, one hundred thousand, two".

Divisors: 1 2 3 6 9 18 53 106 113 159 226 318 339 409 477 678 818 954 1017 1227 2034 2454 3681 5989 7362 11978 17967 21677 35934 43354 46217 53901 65031 92434 107802 130062 138651 195093 277302 390186 415953 483389 831906 966778 1450167 2449501 2900334 4350501 4899002 7348503 8701002 14697006 22045509 25619617 44091018 51239234 54622957 76858851 109245914 153717702 163868871 197706101 230576553 327737742 395412202 461153106 491606613 593118303 983213226 1186236606 1779354909 2895016721 3558709818 5790033442 8685050163 10478423353 17370100326 20956846706 22340789413 26055150489 31435270059 44681578826 52110300978 62870540118 67022368239 94305810177 134044736478 188611620354 201067104717 402134209434 1184061838889 2368123677778 3552185516667 7104371033334 10656556550001 21313113100002