Search a number
-
+
10211000002212 = 22319477011359307
BaseRepresentation
bin1001010010010110111100…
…0001110010011010100100
31100011011101010221221121010
42110211233001302122210
52314244112000032322
633414511343222220
72102502045643512
oct224455701623244
940134333857533
1010211000002212
113287508334739
12118ab632a7970
13590b7c3a3039
142743020c14b2
1512a928e5720c
hex9496f0726a4

10211000002212 has 96 divisors (see below), whose sum is σ = 25649815726080. Its totient is φ = 3151415030400.

The previous prime is 10211000002211. The next prime is 10211000002243. The reversal of 10211000002212 is 21220000011201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10211000002211) 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, 6832263 + ... + 8191569.

It is an arithmetic number, because the mean of its divisors is an integer number (267185580480).

Almost surely, 210211000002212 is an apocalyptic number.

10211000002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211000002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12824907863040).

10211000002212 is an abundant number, since it is smaller than the sum of its proper divisors (15438815723868).

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

10211000002212 is a wasteful number, since it uses less digits than its factorization.

10211000002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360081 (or 1360079 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10211000002212 its reverse (21220000011201), we get a palindrome (31431000013413).

The spelling of 10211000002212 in words is "ten trillion, two hundred eleven billion, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 47 57 76 94 114 141 188 228 282 564 701 893 1402 1786 2103 2679 2804 3572 4206 5358 8412 10716 13319 26638 32947 39957 53276 65894 79914 98841 131788 159828 197682 395364 625993 1251986 1359307 1877979 2503972 2718614 3755958 4077921 5437228 7511916 8155842 16311684 25826833 51653666 63887429 77480499 103307332 127774858 154960998 191662287 255549716 309921996 383324574 766649148 952874207 1213861151 1905748414 2427722302 2858622621 3641583453 3811496828 4855444604 5717245242 7283166906 11434490484 14566333812 18104609933 36209219866 44785087729 54313829799 72418439732 89570175458 108627659598 134355263187 179140350916 217255319196 268710526374 537421052748 850916666851 1701833333702 2552750000553 3403666667404 5105500001106 10211000002212