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1120011312 = 243723373917
BaseRepresentation
bin100001011000010…
…0000010000110000
32220001111110200110
41002300200100300
54243210330222
6303045421320
736516640050
oct10260402060
92801443613
101120011312
11525243092
1227310a840
1314b0692b4
14a8a6b560
15684da30c
hex42c20430

1120011312 has 160 divisors (see below), whose sum is σ = 3544630272. Its totient is φ = 297741312.

The previous prime is 1120011287. The next prime is 1120011341. The reversal of 1120011312 is 2131100211.

It is a super-2 number, since 2×11200113122 = 2508850678015922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 283978 + ... + 287894.

Almost surely, 21120011312 is an apocalyptic number.

1120011312 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 1120011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772315136).

1120011312 is an abundant number, since it is smaller than the sum of its proper divisors (2424618960).

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

1120011312 is a wasteful number, since it uses less digits than its factorization.

1120011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3995 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1120011312 is about 33466.5700662616. The cubic root of 1120011312 is about 1038.5023166378.

Adding to 1120011312 its reverse (2131100211), we get a palindrome (3251111523).

The spelling of 1120011312 in words is "one billion, one hundred twenty million, eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 37 42 46 48 56 69 74 84 92 111 112 138 148 161 168 184 222 259 276 296 322 336 368 444 483 518 552 592 644 777 851 888 966 1036 1104 1288 1554 1702 1776 1932 2072 2553 2576 3108 3404 3864 3917 4144 5106 5957 6216 6808 7728 7834 10212 11751 11914 12432 13616 15668 17871 20424 23502 23828 27419 31336 35742 40848 47004 47656 54838 62672 71484 82257 90091 94008 95312 109676 142968 144929 164514 180182 188016 219352 270273 285936 289858 329028 360364 434787 438704 540546 579716 630637 658056 720728 869574 1014503 1081092 1159432 1261274 1316112 1441456 1739148 1891911 2029006 2162184 2318864 2522548 3043509 3333367 3478296 3783822 4058012 4324368 5045096 6087018 6666734 6956592 7567644 8116024 10000101 10090192 12174036 13333468 15135288 16232048 20000202 23333569 24348072 26666936 30270576 40000404 46667138 48696144 53333872 70000707 80000808 93334276 140001414 160001616 186668552 280002828 373337104 560005656 1120011312