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10113011000 = 235317653911
BaseRepresentation
bin10010110101100100…
…00100110100111000
3222002210102012001222
421122302010310320
5131202412323000
64351300531212
7505416114041
oct113262046470
928083365058
1010113011000
11431a592934
121b629b0b08
13c522381a1
146bd17d8c8
153e2c82a85
hex25ac84d38

10113011000 has 128 divisors (see below), whose sum is σ = 25122389760. Its totient is φ = 3797248000.

The previous prime is 10113010987. The next prime is 10113011047. The reversal of 10113011000 is 11031101.

It is a super-2 number, since 2×101130110002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 11100545 + ... + 11101455.

It is an arithmetic number, because the mean of its divisors is an integer number (196268670).

Almost surely, 210113011000 is an apocalyptic number.

10113011000 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 10113011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12561194880).

10113011000 is an abundant number, since it is smaller than the sum of its proper divisors (15009378760).

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

10113011000 is a wasteful number, since it uses less digits than its factorization.

10113011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10113011000 its reverse (11031101), we get a palindrome (10124042101).

The spelling of 10113011000 in words is "ten billion, one hundred thirteen million, eleven thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 653 680 850 911 1000 1306 1700 1822 2125 2612 3265 3400 3644 4250 4555 5224 6530 7288 8500 9110 11101 13060 15487 16325 17000 18220 22202 22775 26120 30974 32650 36440 44404 45550 55505 61948 65300 77435 81625 88808 91100 111010 113875 123896 130600 154870 163250 182200 222020 227750 277525 309740 326500 387175 444040 455500 555050 594883 619480 653000 774350 911000 1110100 1189766 1387625 1548700 1935875 2220200 2379532 2775250 2974415 3097400 3871750 4759064 5550500 5948830 7743500 10113011 11101000 11897660 14872075 15487000 20226022 23795320 29744150 40452044 50565055 59488300 74360375 80904088 101130110 118976600 148720750 202260220 252825275 297441500 404520440 505650550 594883000 1011301100 1264126375 2022602200 2528252750 5056505500 10113011000