Search a number
-
+
10212001110 = 23253727711071
BaseRepresentation
bin10011000001010111…
…01100010101010110
3222100200200101222100
421200223230111112
5131403233013420
64405154342530
7511030401663
oct114053542526
928320611870
1010212001110
114370454643
121b8bb8aa46
13c698b710c
146cc38aa6a
153eb7d8190
hex260aec556

10212001110 has 96 divisors (see below), whose sum is σ = 27369718272. Its totient is φ = 2639796480.

The previous prime is 10212001097. The next prime is 10212001169. The reversal of 10212001110 is 1110021201.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10212001092 and 10212001101.

It is a congruent number.

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, 916875 + ... + 927945.

It is an arithmetic number, because the mean of its divisors is an integer number (285101232).

Almost surely, 210212001110 is an apocalyptic number.

10212001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13684859136).

10212001110 is an abundant number, since it is smaller than the sum of its proper divisors (17157717162).

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

10212001110 is a wasteful number, since it uses less digits than its factorization.

10212001110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11398 (or 11395 counting only the distinct ones).

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

Adding to 10212001110 its reverse (1110021201), we get a palindrome (11322022311).

The spelling of 10212001110 in words is "ten billion, two hundred twelve million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 277 333 370 554 555 666 831 1110 1385 1662 1665 2493 2770 3330 4155 4986 8310 10249 11071 12465 20498 22142 24930 30747 33213 51245 55355 61494 66426 92241 99639 102490 110710 153735 166065 184482 199278 307470 332130 409627 461205 498195 819254 922410 996390 1228881 2048135 2457762 3066667 3686643 4096270 6133334 6144405 7373286 9200001 12288810 15333335 18400002 18433215 27600003 30666670 36866430 46000005 55200006 92000010 113466679 138000015 226933358 276000030 340400037 567333395 680800074 1021200111 1134666790 1702000185 2042400222 3404000370 5106000555 10212001110