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100210010021110 = 251117107500824679
BaseRepresentation
bin10110110010001111110110…
…000011001101110011110110
3111010210222112220012222021201
4112302033312003031303312
5101113320100031133420
6553043502034203114
730051635315646253
oct2662176603156366
9433728486188251
10100210010021110
1129a259102073a0
12b2a545572349a
1343bb9c0250922
141aa629450442a
15b8ba5b93110a
hex5b23f60cdcf6

100210010021110 has 64 divisors (see below), whose sum is σ = 210298286430720. Its totient is φ = 33975946155520.

The previous prime is 100210010021087. The next prime is 100210010021111. The reversal of 100210010021110 is 11120010012001.

It is a super-2 number, since 2×1002100100211102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210010021111) 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, 250212250 + ... + 250612429.

It is an arithmetic number, because the mean of its divisors is an integer number (3285910725480).

Almost surely, 2100210010021110 is an apocalyptic number.

100210010021110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100210010021110 is an abundant number, since it is smaller than the sum of its proper divisors (110088276409610).

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

100210010021110 is a wasteful number, since it uses less digits than its factorization.

100210010021110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500824821.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100210010021110 its reverse (11120010012001), we get a palindrome (111330020033111).

The spelling of 100210010021110 in words is "one hundred trillion, two hundred ten billion, ten million, twenty-one thousand, one hundred ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 107 110 170 187 214 374 535 935 1070 1177 1819 1870 2354 3638 5885 9095 11770 18190 20009 40018 100045 200090 500824679 1001649358 2504123395 5008246790 5509071469 8514019543 11018142938 17028039086 27545357345 42570097715 53588240653 55090714690 85140195430 93654214973 107176481306 187308429946 267941203265 468271074865 535882406530 589470647183 911000091101 936542149730 1178941294366 1822000182202 2947353235915 4555000455505 5894706471830 9110000911010 10021001002111 20042002004222 50105005010555 100210010021110