Search a number
-
+
100210212201110 = 251124311489129049
BaseRepresentation
bin10110110010010000000010…
…000110011110001010010110
3111010211000001222122210002212
4112302100002012132022112
5101113321003310413420
6553043534055433422
730051643322313314
oct2662200206361226
9433730058583085
10100210212201110
1129a25a04349200
12b2a54b1385872
1343bba230bc26b
141aa62b32d30b4
15b8ba6e56b3c5
hex5b240219e296

100210212201110 has 96 divisors (see below), whose sum is σ = 198862168176000. Its totient is φ = 36330831820800.

The previous prime is 100210212201103. The next prime is 100210212201193. The reversal of 100210212201110 is 11102212012001.

100210212201110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1002102122011102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 776463866 + ... + 776592914.

It is an arithmetic number, because the mean of its divisors is an integer number (2071480918500).

Almost surely, 2100210212201110 is an apocalyptic number.

100210212201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100210212201110 is a deficient number, since it is larger than the sum of its proper divisors (98651955974890).

100210212201110 is a wasteful number, since it uses less digits than its factorization.

100210212201110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130998 (or 130987 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100210212201110 its reverse (11102212012001), we get a palindrome (111312424213111).

The spelling of 100210212201110 in words is "one hundred trillion, two hundred ten billion, two hundred twelve million, two hundred one thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 55 110 121 242 431 605 862 1210 1489 2155 2978 4310 4741 7445 9482 14890 16379 23705 32758 47410 52151 81895 104302 129049 163790 180169 258098 260755 360338 521510 641759 645245 900845 1283518 1290490 1419539 1801690 2839078 3208795 6417590 7059349 7097695 14118698 14195390 15614929 31229858 35296745 55620119 70593490 77652839 78074645 111240238 155305678 156149290 192153961 278100595 384307922 388264195 556201190 611821309 776528390 960769805 1223642618 1921539610 2113693571 3059106545 4227387142 6118213090 6730034399 10568467855 13460068798 21136935710 23250629281 33650171995 46501258562 67300343990 82818357191 116253146405 165636714382 232506292810 414091785955 828183571910 911001929101 1822003858202 4555009645505 9110019291010 10021021220111 20042042440222 50105106100555 100210212201110