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21354102501006 = 23111279112796503
BaseRepresentation
bin1001101101011111000111…
…01100011010111010001110
32210121102200010012202220110
410312233203230122322032
510244331200220013011
6113225534514100450
74332532365252342
oct466574354327216
983542603182813
1021354102501006
116893251185a80
12248a69987a726
13bbb8b607a582
1453b788d2d622
152707088c1ba6
hex136be3b1ae8e

21354102501006 has 64 divisors (see below), whose sum is σ = 47009187495936. Its totient is φ = 6412938386400.

The previous prime is 21354102500999. The next prime is 21354102501029. The reversal of 21354102501006 is 60010520145312.

It is a congruent number.

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, 6237751 + ... + 9034253.

It is an arithmetic number, because the mean of its divisors is an integer number (734518554624).

Almost surely, 221354102501006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21354102501006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23504593747968).

21354102501006 is an abundant number, since it is smaller than the sum of its proper divisors (25655084994930).

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

21354102501006 is a wasteful number, since it uses less digits than its factorization.

21354102501006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797557.

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 21354102501006 its reverse (60010520145312), we get a palindrome (81364622646318).

The spelling of 21354102501006 in words is "twenty-one trillion, three hundred fifty-four billion, one hundred two million, five hundred one thousand, six".

Divisors: 1 2 3 6 11 22 33 66 127 254 381 762 911 1397 1822 2733 2794 4191 5466 8382 10021 20042 30063 60126 115697 231394 347091 694182 1272667 2545334 2796503 3818001 5593006 7636002 8389509 16779018 30761533 61523066 92284599 184569198 355155881 710311762 1065467643 2130935286 2547614233 3906714691 5095228466 7642842699 7813429382 11720144073 15285685398 23440288146 28023756563 56047513126 84071269689 168142539378 323547007591 647094015182 970641022773 1941282045546 3559017083501 7118034167002 10677051250503 21354102501006