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1112231303120 = 2457101187310499
BaseRepresentation
bin10000001011110110001…
…001101101011111010000
310221022212022102100022102
4100023312021231133100
5121210322203144440
62210541344455532
7143233062042260
oct20136611553720
93838768370272
101112231303120
11399770636073
1215b68401a5a8
1380b62b37242
143bb91ad57a0
151dde96b0b15
hex102f626d7d0

1112231303120 has 160 divisors (see below), whose sum is σ = 2986496352000. Its totient is φ = 377323315200.

The previous prime is 1112231303059. The next prime is 1112231303189. The reversal of 1112231303120 is 213031322111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1112231303092 and 1112231303101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105931631 + ... + 105942129.

It is an arithmetic number, because the mean of its divisors is an integer number (18665602200).

Almost surely, 21112231303120 is an apocalyptic number.

1112231303120 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 1112231303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493248176000).

1112231303120 is an abundant number, since it is smaller than the sum of its proper divisors (1874265048880).

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

1112231303120 is a wasteful number, since it uses less digits than its factorization.

1112231303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12493 (or 12487 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1112231303120 its reverse (213031322111), we get a palindrome (1325262625231).

The spelling of 1112231303120 in words is "one trillion, one hundred twelve billion, two hundred thirty-one million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 101 112 140 202 280 404 505 560 707 808 1010 1414 1616 1873 2020 2828 3535 3746 4040 5656 7070 7492 8080 9365 10499 11312 13111 14140 14984 18730 20998 26222 28280 29968 37460 41996 52444 52495 56560 65555 73493 74920 83992 104888 104990 131110 146986 149840 167984 189173 209776 209980 262220 293972 367465 378346 419960 524440 587944 734930 756692 839920 945865 1048880 1060399 1175888 1324211 1469860 1513384 1891730 2120798 2648422 2939720 3026768 3783460 4241596 5296844 5301995 5879440 6621055 7422793 7566920 8483192 10593688 10603990 13242110 14845586 15133840 16966384 19664627 21187376 21207980 26484220 29691172 37113965 39329254 42415960 52968440 59382344 74227930 78658508 84831920 98323135 105936880 118764688 137652389 148455860 157317016 196646270 275304778 296911720 314634032 393292540 550609556 593823440 688261945 786585080 1101219112 1376523890 1573170160 1986127327 2202438224 2753047780 3972254654 5506095560 7944509308 9930636635 11012191120 13902891289 15889018616 19861273270 27805782578 31778037232 39722546540 55611565156 69514456445 79445093080 111223130312 139028912890 158890186160 222446260624 278057825780 556115651560 1112231303120