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21210100000002 = 23237833731028683
BaseRepresentation
bin1001101001010010111000…
…11110011110010100000010
32210002122222100002202222100
410310221130132132110002
510240001241100000002
6113035441352451230
74316244023222034
oct464513436362402
983078870082870
1021210100000002
11683817555a671
1224667ab6a9b16
13bab1471cc6b4
14534807cd9c54
1526bacb5d411c
hex134a5c79e502

21210100000002 has 96 divisors (see below), whose sum is σ = 47893996358208. Its totient is φ = 6777845797248.

The previous prime is 21210099999971. The next prime is 21210100000093. The reversal of 21210100000002 is 20000000101212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21210100000002.

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, 20104353 + ... + 21133035.

It is an arithmetic number, because the mean of its divisors is an integer number (498895795398).

Almost surely, 221210100000002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210100000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23946998179104).

21210100000002 is an abundant number, since it is smaller than the sum of its proper divisors (26683896358206).

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

21210100000002 is a wasteful number, since it uses less digits than its factorization.

21210100000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029184 (or 1029181 counting only the distinct ones).

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

Adding to 21210100000002 its reverse (20000000101212), we get a palindrome (41210100101214).

The spelling of 21210100000002 in words is "twenty-one trillion, two hundred ten billion, one hundred million, two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 37 74 83 111 166 222 249 333 373 498 666 746 747 1119 1494 2238 3071 3357 6142 6714 9213 13801 18426 27602 27639 30959 41403 55278 61918 82806 92877 124209 185754 248418 278631 557262 1028683 1145483 2057366 2290966 3086049 3436449 6172098 6872898 9258147 10309347 18516294 20618694 38061271 76122542 85380689 114183813 170761378 228367626 256142067 342551439 383698759 512284134 685102878 767397518 768426201 1151096277 1536852402 2302192554 3159085493 3453288831 6318170986 6906577662 9477256479 14196854083 18954512958 28393708166 28431769437 31846996997 42590562249 56863538874 63693993994 85181124498 95540990991 127771686747 191081981982 255543373494 286622972973 573245945946 1178338888889 2356677777778 3535016666667 7070033333334 10605050000001 21210100000002