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113111123000 = 23531911295273
BaseRepresentation
bin110100101010111110…
…0101100010000111000
3101210221220112101210212
41221111330230100320
53323122421414000
6123543523530252
711112666452621
oct1512574542070
9353856471725
10113111123000
1143a74309947
1219b08829988
13a887c1a9a5
145690474a48
152e202dbc35
hex1a55f2c438

113111123000 has 128 divisors (see below), whose sum is σ = 278910216000. Its totient is φ = 42817075200.

The previous prime is 113111122991. The next prime is 113111123051. The reversal of 113111123000 is 321111311.

It is a happy number.

It is a super-2 number, since 2×1131111230002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21448364 + ... + 21453636.

Almost surely, 2113111123000 is an apocalyptic number.

113111123000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113111123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139455108000).

113111123000 is an abundant number, since it is smaller than the sum of its proper divisors (165799093000).

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

113111123000 is a wasteful number, since it uses less digits than its factorization.

113111123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6442 (or 6428 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 113111123000 its reverse (321111311), we get a palindrome (113432234311).

It can be divided in two parts, 11311 and 1123000, that added together give a palindrome (1134311).

The spelling of 113111123000 in words is "one hundred thirteen billion, one hundred eleven million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1129 1900 2258 2375 3800 4516 4750 5273 5645 9032 9500 10546 11290 19000 21092 21451 22580 26365 28225 42184 42902 45160 52730 56450 85804 100187 105460 107255 112900 131825 141125 171608 200374 210920 214510 225800 263650 282250 400748 429020 500935 527300 536275 564500 659125 801496 858040 1001870 1054600 1072550 1129000 1318250 2003740 2145100 2504675 2636500 2681375 4007480 4290200 5009350 5273000 5362750 5953217 10018700 10725500 11906434 12523375 20037400 21451000 23812868 25046750 29766085 47625736 50093500 59532170 100187000 113111123 119064340 148830425 226222246 238128680 297660850 452444492 565555615 595321700 744152125 904888984 1131111230 1190643400 1488304250 2262222460 2827778075 2976608500 4524444920 5655556150 5953217000 11311112300 14138890375 22622224600 28277780750 56555561500 113111123000