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113021121000 = 23353101373007
BaseRepresentation
bin110100101000010010…
…1010111000111101000
3101210201122011211021110
41221100211113013220
53322431401333000
6123530550510320
711110524451254
oct1512045270750
9353648154243
10113021121000
1143a28527027
1219aa26653a0
13a872397b78
145682527264
152e1745e850
hex1a509571e8

113021121000 has 128 divisors (see below), whose sum is σ = 356118197760. Its totient is φ = 29840480000.

The previous prime is 113021120983. The next prime is 113021121047. The reversal of 113021121000 is 121120311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116497 + ... + 489503.

It is an arithmetic number, because the mean of its divisors is an integer number (2782173420).

Almost surely, 2113021121000 is an apocalyptic number.

113021121000 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 113021121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178059098880).

113021121000 is an abundant number, since it is smaller than the sum of its proper divisors (243097076760).

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

113021121000 is a wasteful number, since it uses less digits than its factorization.

113021121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373132 (or 373118 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 113021121000 its reverse (121120311), we get a palindrome (113142241311).

The spelling of 113021121000 in words is "one hundred thirteen billion, twenty-one million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 125 150 200 202 250 300 303 375 404 500 505 600 606 750 808 1000 1010 1212 1500 1515 2020 2424 2525 3000 3030 4040 5050 6060 7575 10100 12120 12625 15150 20200 25250 30300 37875 50500 60600 75750 101000 151500 303000 373007 746014 1119021 1492028 1865035 2238042 2984056 3730070 4476084 5595105 7460140 8952168 9325175 11190210 14920280 18650350 22380420 27975525 37300700 37673707 44760840 46625875 55951050 74601400 75347414 93251750 111902100 113021121 139877625 150694828 186503500 188368535 223804200 226042242 279755250 301389656 373007000 376737070 452084484 559510500 565105605 753474140 904168968 941842675 1119021000 1130211210 1506948280 1883685350 2260422420 2825528025 3767370700 4520844840 4709213375 5651056050 7534741400 9418426750 11302112100 14127640125 18836853500 22604224200 28255280250 37673707000 56510560500 113021121000