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113041232000 = 275314274951
BaseRepresentation
bin110100101000111001…
…0000101000010000000
3101210210001000120101022
41221101302011002000
53323002023411000
6123532545525012
711111160422024
oct1512162050200
9353701016338
10113041232000
1143a38912794
1219aa9343768
13a8765b9978
145685080384
152e190d3585
hex1a51c85080

113041232000 has 128 divisors (see below), whose sum is σ = 281302519680. Its totient is φ = 45175680000.

The previous prime is 113041231973. The next prime is 113041232039. The reversal of 113041232000 is 232140311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1130412320003 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113041232000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22829525 + ... + 22834475.

It is an arithmetic number, because the mean of its divisors is an integer number (2197675935).

Almost surely, 2113041232000 is an apocalyptic number.

113041232000 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 113041232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140651259840).

113041232000 is an abundant number, since it is smaller than the sum of its proper divisors (168261287680).

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

113041232000 is an equidigital number, since it uses as much as digits as its factorization.

113041232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6407 (or 6385 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 113041232000 its reverse (232140311), we get a palindrome (113273372311).

The spelling of 113041232000 in words is "one hundred thirteen billion, forty-one million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1427 1600 2000 2854 3200 4000 4951 5708 7135 8000 9902 11416 14270 16000 19804 22832 24755 28540 35675 39608 45664 49510 57080 71350 79216 91328 99020 114160 123775 142700 158432 178375 182656 198040 228320 247550 285400 316864 356750 396080 456640 495100 570800 618875 633728 713500 792160 913280 990200 1141600 1237750 1427000 1584320 1980400 2283200 2475500 2854000 3168640 3960800 4566400 4951000 5708000 7065077 7921600 9902000 11416000 14130154 15843200 19804000 22832000 28260308 35325385 39608000 56520616 70650770 79216000 113041232 141301540 176626925 226082464 282603080 353253850 452164928 565206160 706507700 883134625 904329856 1130412320 1413015400 1766269250 2260824640 2826030800 3532538500 4521649280 5652061600 7065077000 11304123200 14130154000 22608246400 28260308000 56520616000 113041232000