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21000104431026 = 2376124773309149
BaseRepresentation
bin1001100011001011101111…
…10000111100110110110010
32202100120221101101120120120
410301211313300330312302
510223031203213243101
6112355151554551110
74265131110306360
oct461456760746662
982316841346516
1021000104431026
116767104530566
122431b64598496
13b943bc0b4b86
145285a64ca630
152663da879b36
hex131977c3cdb2

21000104431026 has 64 divisors (see below), whose sum is σ = 48806838662400. Its totient is φ = 5899284322560.

The previous prime is 21000104430983. The next prime is 21000104431049. The reversal of 21000104431026 is 62013440100012.

It is a super-2 number, since 2×210001044310262 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21000104430987 and 21000104431005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4691500 + ... + 8000648.

It is an arithmetic number, because the mean of its divisors is an integer number (762606854100).

Almost surely, 221000104431026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000104431026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24403419331200).

21000104431026 is an abundant number, since it is smaller than the sum of its proper divisors (27806734231374).

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

21000104431026 is a wasteful number, since it uses less digits than its factorization.

21000104431026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311699.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21000104431026 its reverse (62013440100012), we get a palindrome (83013544531038).

The spelling of 21000104431026 in words is "twenty-one trillion, one hundred four million, four hundred thirty-one thousand, twenty-six".

Divisors: 1 2 3 6 7 14 21 42 61 122 183 366 427 854 1281 2477 2562 4954 7431 14862 17339 34678 52017 104034 151097 302194 453291 906582 1057679 2115358 3173037 3309149 6346074 6618298 9927447 19854894 23164043 46328086 69492129 138984258 201858089 403716178 605574267 1211148534 1413006623 2826013246 4239019869 8196762073 8478039738 16393524146 24590286219 49180572438 57377334511 114754669022 172132003533 344264007066 500002486453 1000004972906 1500007459359 3000014918718 3500017405171 7000034810342 10500052215513 21000104431026