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1103412112320 = 26357164198231
BaseRepresentation
bin10000000011101000011…
…111001010101111000000
310220111002200120000220010
4100003220133022233000
5121034242000043240
62202522302544520
7142501403126610
oct20035037125700
93814080500803
101103412112320
11395a5540a531
12159a22598140
138008898224b
143b596708a40
151da802ec280
hex100e87cabc0

1103412112320 has 112 divisors (see below), whose sum is σ = 4003809689088. Its totient is φ = 252208481280.

The previous prime is 1103412112303. The next prime is 1103412112339. The reversal of 1103412112320 is 232112143011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×11034121123202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 82092396 + ... + 82105835.

Almost surely, 21103412112320 is an apocalyptic number.

1103412112320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1103412112320 is an abundant number, since it is smaller than the sum of its proper divisors (2900397576768).

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

1103412112320 is a wasteful number, since it uses less digits than its factorization.

1103412112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164198258 (or 164198248 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1103412112320 its reverse (232112143011), we get a palindrome (1335524255331).

The spelling of 1103412112320 in words is "one trillion, one hundred three billion, four hundred twelve million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 164198231 328396462 492594693 656792924 820991155 985189386 1149387617 1313585848 1641982310 1970378772 2298775234 2462973465 2627171696 3283964620 3448162851 3940757544 4597550468 4925946930 5254343392 5746938085 6567929240 6896325702 7881515088 9195100936 9851893860 10508686784 11493876170 13135858480 13792651404 15763030176 17240814255 18390201872 19703787720 22987752340 26271716960 27585302808 31526060352 34481628510 36780403744 39407575440 45975504680 52543433920 55170605616 68963257020 73560807488 78815150880 91951009360 110341211232 137926514040 157630301760 183902018720 220682422464 275853028080 367804037440 551706056160 1103412112320