Search a number
-
+
21100012002 = 2335350314657
BaseRepresentation
bin10011101001101010…
…001010000111100010
32000110111101200001000
4103221222022013202
5321203100341002
613405422252430
71344610066656
oct235152120742
960414350030
1021100012002
118a48452353
12410a427116
131cb3560c04
141042428a66
1583760561c
hex4e9a8a1e2

21100012002 has 64 divisors (see below), whose sum is σ = 47871855360. Its totient is φ = 6886444032.

The previous prime is 21100012001. The next prime is 21100012007. The reversal of 21100012002 is 20021000112.

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

It is not an unprimeable number, because it can be changed into a prime (21100012001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1432258 + ... + 1446914.

It is an arithmetic number, because the mean of its divisors is an integer number (747997740).

Almost surely, 221100012002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21100012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23935927680).

21100012002 is an abundant number, since it is smaller than the sum of its proper divisors (26771843358).

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

21100012002 is a wasteful number, since it uses less digits than its factorization.

21100012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15224 (or 15218 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21100012002 its reverse (20021000112), we get a palindrome (41121012114).

The spelling of 21100012002 in words is "twenty-one billion, one hundred million, twelve thousand, two".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 503 954 1006 1431 1509 2862 3018 4527 9054 13581 14657 26659 27162 29314 43971 53318 79977 87942 131913 159954 239931 263826 395739 479862 719793 776821 791478 1439586 1553642 2330463 4660926 6991389 7372471 13982778 14744942 20974167 22117413 41948334 44234826 66352239 132704478 199056717 390740963 398113434 781481926 1172222889 2344445778 3516668667 7033337334 10550006001 21100012002