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112000133300 = 225211169759999
BaseRepresentation
bin110100001001110111…
…0100110100010110100
3101201002111000021110012
41220103232212202310
53313334013231200
6123241355315352
711043316265606
oct1502356464264
9351074007405
10112000133300
1143554178940
121985874bb58
13a73b9bcb33
1455c6ab5176
152da79d4a35
hex1a13ba68b4

112000133300 has 72 divisors (see below), whose sum is σ = 265295520000. Its totient is φ = 40702643200.

The previous prime is 112000133293. The next prime is 112000133317. The reversal of 112000133300 is 3331000211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1836701 + ... + 1896699.

It is an arithmetic number, because the mean of its divisors is an integer number (3684660000).

Almost surely, 2112000133300 is an apocalyptic number.

112000133300 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 112000133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132647760000).

112000133300 is an abundant number, since it is smaller than the sum of its proper divisors (153295386700).

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

112000133300 is a wasteful number, since it uses less digits than its factorization.

112000133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61721 (or 61714 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 112000133300 its reverse (3331000211), we get a palindrome (115331133511).

The spelling of 112000133300 in words is "one hundred twelve billion, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1697 3394 6788 8485 16970 18667 33940 37334 42425 59999 74668 84850 93335 119998 169700 186670 239996 299995 373340 466675 599990 659989 933350 1199980 1319978 1499975 1866700 2639956 2999950 3299945 5999900 6599890 13199780 16499725 32999450 65998900 101818303 203636606 407273212 509091515 1018183030 1120001333 2036366060 2240002666 2545457575 4480005332 5090915150 5600006665 10181830300 11200013330 22400026660 28000033325 56000066650 112000133300