Search a number
-
+
21110010012102 = 23112487360716553
BaseRepresentation
bin1001100110011000011101…
…01001011110000111000110
32202202002121220010120112110
410303030032221132013012
510231331300030341402
6112521445453001450
74306101504321114
oct463141651360706
982662556116473
1021110010012102
1167a9783351300
12244b317783286
13ba1885b7369b
1452da30d32ab4
152691be52156c
hex13330ea5e1c6

21110010012102 has 96 divisors (see below), whose sum is σ = 46518123649536. Its totient is φ = 6381681863040.

The previous prime is 21110010012101. The next prime is 21110010012137. The reversal of 21110010012102 is 20121001001112.

It is a super-2 number, since 2×211100100121022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110010012101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1275289858 + ... + 1275306410.

It is an arithmetic number, because the mean of its divisors is an integer number (484563788016).

Almost surely, 221110010012102 is an apocalyptic number.

21110010012102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21110010012102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23259061824768).

21110010012102 is an abundant number, since it is smaller than the sum of its proper divisors (25408113637434).

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

21110010012102 is a wasteful number, since it uses less digits than its factorization.

21110010012102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20674 (or 20663 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21110010012102 its reverse (20121001001112), we get a palindrome (41231011013214).

The spelling of 21110010012102 in words is "twenty-one trillion, one hundred ten billion, ten million, twelve thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 487 726 974 1461 2922 3607 5357 7214 10714 10821 16071 16553 21642 32142 33106 39677 49659 58927 79354 99318 117854 119031 176781 182083 238062 353562 364166 436447 546249 872894 1092498 1309341 1756609 2002913 2618682 3513218 4005826 5269827 6008739 8061311 10539654 12017478 16122622 19322699 24183933 38645398 48367866 57968097 59706671 88674421 115936194 119413342 177348842 179120013 212549689 266023263 358240026 425099378 532046526 637649067 656773381 975418631 1275298134 1313546762 1950837262 1970320143 2926255893 3940640286 5852511786 7224507191 14449014382 21673521573 29077148777 43347043146 58154297554 87231446331 174462892662 319848636547 639697273094 959545909641 1919091819282 3518335002017 7036670004034 10555005006051 21110010012102