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112033411235040 = 25351912284365267
BaseRepresentation
bin11001011110010011001111…
…101011011111110011100000
3112200200021211001112020012210
4121132103033223133303200
5104141023411234010130
61034135234423322120
732412101241033261
oct3136231753376340
9480607731466183
10112033411235040
1132774114a34419
12106949aa8b0340
134a68922858499
141d94635ccc968
15ce43a5a405b0
hex65e4cfadfce0

112033411235040 has 96 divisors (see below), whose sum is σ = 371479205704320. Its totient is φ = 28303177572864.

The previous prime is 112033411235029. The next prime is 112033411235041. The reversal of 112033411235040 is 40532114330211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 112033411234989 and 112033411235007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112033411235041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6142173514 + ... + 6142191753.

It is an arithmetic number, because the mean of its divisors is an integer number (3869575059420).

Almost surely, 2112033411235040 is an apocalyptic number.

112033411235040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112033411235040 is an abundant number, since it is smaller than the sum of its proper divisors (259445794469280).

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

112033411235040 is a wasteful number, since it uses less digits than its factorization.

112033411235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12284365304 (or 12284365296 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 112033411235040 its reverse (40532114330211), we get a palindrome (152565525565251).

The spelling of 112033411235040 in words is "one hundred twelve trillion, thirty-three billion, four hundred eleven million, two hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 12284365267 24568730534 36853095801 49137461068 61421826335 73706191602 98274922136 122843652670 147412383204 184265479005 196549844272 233402940073 245687305340 294824766408 368530958010 393099688544 466805880146 491374610680 589649532816 700208820219 737061916020 933611760292 982749221360 1167014700365 1179299065632 1400417640438 1474123832040 1867223520584 1965498442720 2334029400730 2800835280876 2948247664080 3501044101095 3734447041168 4668058801460 5601670561752 5896495328160 7002088202190 7468894082336 9336117602920 11203341123504 14004176404380 18672235205840 22406682247008 28008352808760 37344470411680 56016705617520 112033411235040