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1103425024032 = 2532127172317509
BaseRepresentation
bin10000000011101001010…
…000011011000000100000
310220111010120212000102200
4100003221100123000200
5121034303301232112
62202523443413200
7142501620644232
oct20035120330040
93814116760380
101103425024032
11395a61729271
12159a26984200
138008b553206
143b59830a252
151da814eccdc
hex100e941b020

1103425024032 has 144 divisors (see below), whose sum is σ = 3164588743680. Its totient is φ = 364679594496.

The previous prime is 1103425024019. The next prime is 1103425024043. The reversal of 1103425024032 is 2304205243011.

1103425024032 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 4 + 250 + 2 + 403 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1103425023987 and 1103425024005.

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, 63011694 + ... + 63029202.

It is an arithmetic number, because the mean of its divisors is an integer number (21976310720).

Almost surely, 21103425024032 is an apocalyptic number.

1103425024032 is a gapful number since it is divisible by the number (12) 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 1103425024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582294371840).

1103425024032 is an abundant number, since it is smaller than the sum of its proper divisors (2061163719648).

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

1103425024032 is a wasteful number, since it uses less digits than its factorization.

1103425024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19375 (or 19364 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 1103425024032 in words is "one trillion, one hundred three billion, four hundred twenty-five million, twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 762 1016 1143 1524 1723 2032 2286 3048 3446 4064 4572 5169 6096 6892 9144 10338 12192 13784 15507 17509 18288 20676 27568 31014 35018 36576 41352 52527 55136 62028 70036 82704 105054 124056 140072 157581 165408 210108 218821 248112 280144 315162 420216 437642 496224 560288 630324 656463 840432 875284 1260648 1312926 1680864 1750568 1969389 2223643 2521296 2625852 3501136 3938778 4447286 5042592 5251704 6670929 7002272 7877556 8894572 10503408 13341858 15755112 17789144 20012787 21006816 26683716 30168007 31510224 35578288 40025574 53367432 60336014 63020448 71156576 80051148 90504021 106734864 120672028 160102296 181008042 213469728 241344056 271512063 320204592 362016084 482688112 543024126 640409184 724032168 965376224 1086048252 1448064336 2172096504 2896128672 3831336889 4344193008 7662673778 8688386016 11494010667 15325347556 22988021334 30650695112 34482032001 45976042668 61301390224 68964064002 91952085336 122602780448 137928128004 183904170672 275856256008 367808341344 551712512016 1103425024032