Search a number
-
+
21001001011002 = 23259107415344501
BaseRepresentation
bin1001100011001101011010…
…01101001000011100111010
32202100200020212110120002100
410301212231031020130322
510223040022224323002
6112355420543444230
74265162245152225
oct461465515103472
982320225416070
1021001001011002
116767524637351
1224321748b6676
13b94502a8197c
1452864d5d65bc
1526643e42d11c
hex1319ad34873a

21001001011002 has 96 divisors (see below), whose sum is σ = 46718149757760. Its totient is φ = 6815574432000.

The previous prime is 21001001010967. The next prime is 21001001011043. The reversal of 21001001011002 is 20011010010012.

It is a happy number.

It is a super-2 number, since 2×210010010110022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471899752 + ... + 471944252.

It is an arithmetic number, because the mean of its divisors is an integer number (486647393310).

Almost surely, 221001001011002 is an apocalyptic number.

21001001011002 is an abundant number, since it is smaller than the sum of its proper divisors (25717148746758).

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

21001001011002 is a wasteful number, since it uses less digits than its factorization.

21001001011002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48828 (or 48825 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21001001011002 its reverse (20011010010012), we get a palindrome (41012011021014).

The spelling of 21001001011002 in words is "twenty-one trillion, one billion, one million, eleven thousand, two".

Divisors: 1 2 3 6 9 18 59 107 118 177 214 321 354 531 642 963 1062 1926 4153 6313 8306 12459 12626 18939 24918 37377 37878 44501 56817 74754 89002 113634 133503 245027 267006 400509 444371 490054 735081 801018 888742 1333113 1470162 2205243 2625559 2666226 3999339 4410486 4761607 5251118 7876677 7998678 9523214 14284821 15753354 23630031 26217889 28569642 42854463 47260062 52435778 78653667 85708926 157307334 184812653 235961001 280934813 369625306 471922002 554437959 561869626 842804439 1108875918 1663313877 1685608878 2528413317 3326627754 5056826634 10903946527 19774953871 21807893054 32711839581 39549907742 59324861613 65423679162 98135518743 118649723226 177974584839 196271037486 355949169678 1166722278389 2333444556778 3500166835167 7000333670334 10500500505501 21001001011002