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110010012210 = 23257250949009
BaseRepresentation
bin110011001110100011…
…0111001001000110010
3101111221210020122112200
41212131012321020302
53300300030342320
6122312104204030
710643102450400
oct1463506711062
9344853218480
10110010012210
114272286946a
12193a2169616
13a4b25c41a7
14547866c470
152cdce24290
hex199d1b9232

110010012210 has 144 divisors (see below), whose sum is σ = 333384643800. Its totient is φ = 25095232512.

The previous prime is 110010012191. The next prime is 110010012223. The reversal of 110010012210 is 12210010011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 68147624601 + 41862387609 = 261051^2 + 204603^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 110010012192 and 110010012201.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2220186 + ... + 2269194.

Almost surely, 2110010012210 is an apocalyptic number.

110010012210 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 110010012210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166692321900).

110010012210 is an abundant number, since it is smaller than the sum of its proper divisors (223374631590).

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

110010012210 is a wasteful number, since it uses less digits than its factorization.

110010012210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49545 (or 49535 counting only the distinct ones).

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

Adding to 110010012210 its reverse (12210010011), we get a palindrome (122220022221).

The spelling of 110010012210 in words is "one hundred ten billion, ten million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 509 630 735 882 1018 1470 1527 2205 2545 3054 3563 4410 4581 5090 7126 7635 9162 10689 15270 17815 21378 22905 24941 32067 35630 45810 49009 49882 53445 64134 74823 98018 106890 124705 147027 149646 160335 224469 245045 249410 294054 320670 343063 374115 441081 448938 490090 686126 735135 748230 882162 1029189 1122345 1470270 1715315 2058378 2205405 2244690 2401441 3087567 3430630 4410810 4802882 5145945 6175134 7204323 10291890 12007205 14408646 15437835 21612969 24014410 24945581 30875670 36021615 43225938 49891162 72043230 74836743 108064845 124727905 149673486 174619067 216129690 224510229 249455810 349238134 374183715 449020458 523857201 748367430 873095335 1047714402 1122551145 1222333469 1571571603 1746190670 2245102290 2444666938 2619286005 3143143206 3667000407 5238572010 6111667345 7334000814 7857858015 11001001221 12223334690 15715716030 18335002035 22002002442 36670004070 55005006105 110010012210