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102010111112210 = 2572232292172603
BaseRepresentation
bin10111001100011100010100…
…011011111011010000010010
3111101012001221001000002200012
4113030130110123323100102
5101332313201421042320
61000542444215554522
730325662435525500
oct2714342433732022
9441161831002605
10102010111112210
112a55a277363244
12b5362ab98ba42
1344bc6873cc142
141b2945c4a9670
15bbd7b52a74c5
hex5cc7146fb412

102010111112210 has 144 divisors (see below), whose sum is σ = 223862331393216. Its totient is φ = 33307966226304.

The previous prime is 102010111112209. The next prime is 102010111112213. The reversal of 102010111112210 is 12211111010201.

It is a super-2 number, since 2×1020101111122102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (102010111112213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 590923769 + ... + 591096371.

It is an arithmetic number, because the mean of its divisors is an integer number (1554599523564).

Almost surely, 2102010111112210 is an apocalyptic number.

102010111112210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102010111112210 is an abundant number, since it is smaller than the sum of its proper divisors (121852220281006).

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

102010111112210 is a wasteful number, since it uses less digits than its factorization.

102010111112210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173105 (or 172869 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102010111112210 its reverse (12211111010201), we get a palindrome (114221222122411).

The spelling of 102010111112210 in words is "one hundred two trillion, ten billion, one hundred eleven million, one hundred twelve thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 23 35 46 49 70 98 115 161 229 230 245 322 458 490 805 1127 1145 1603 1610 2254 2290 3206 5267 5635 8015 10534 11221 11270 16030 22442 26335 36869 52441 52670 56105 73738 104882 112210 172603 184345 258083 262205 345206 367087 368690 516166 524410 734174 863015 1206143 1208221 1290415 1726030 1835435 2412286 2416442 2569609 2580830 3670870 3969869 5139218 6030715 6041105 7939738 8443001 8457547 12061430 12082210 12848045 16886002 16915094 19849345 25696090 27789083 39526087 39698690 42215005 42287735 55578166 59101007 79052174 84430010 84575470 118202014 138945415 194523581 197630435 276682609 277890830 295505035 389047162 395260870 553365218 591010070 909100001 972617905 1383413045 1818200002 1936778263 1945235810 2766826090 3873556526 4545500005 6363700007 9051473923 9091000010 9683891315 12727400014 18102947846 19367782630 31818500035 44545900049 45257369615 63360317461 63637000070 89091800098 90514739230 126720634922 208183900229 222729500245 316801587305 416367800458 443522222227 445459000490 633603174610 887044444454 1040919501145 1457287301603 2081839002290 2217611111135 2914574603206 4435222222270 7286436508015 10201011111221 14572873016030 20402022222442 51005055556105 102010111112210