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1312011120 = 243573721107
BaseRepresentation
bin100111000110011…
…1011001101110000
310101102210001220110
41032030323031300
510141333323440
6334104541320
744340624210
oct11614731560
93342701813
101312011120
11613661412
12307481840
1317ba82054
14c636a240
157a2b4080
hex4e33b370

1312011120 has 160 divisors (see below), whose sum is σ = 4774123008. Its totient is φ = 291769344.

The previous prime is 1312011101. The next prime is 1312011203. The reversal of 1312011120 is 211102131.

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

It is a junction number, because it is equal to n+sod(n) for n = 1312011096 and 1312011105.

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, 51607 + ... + 72713.

Almost surely, 21312011120 is an apocalyptic number.

1312011120 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 1312011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387061504).

1312011120 is an abundant number, since it is smaller than the sum of its proper divisors (3462111888).

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

1312011120 is a wasteful number, since it uses less digits than its factorization.

1312011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21167 (or 21161 counting only the distinct ones).

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

The square root of 1312011120 is about 36221.6940520457. The cubic root of 1312011120 is about 1094.7438278160.

Adding to 1312011120 its reverse (211102131), we get a palindrome (1523113251).

It can be divided in two parts, 1312011 and 120, that added together give a palindrome (1312131).

The spelling of 1312011120 in words is "one billion, three hundred twelve million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 37 40 42 48 56 60 70 74 80 84 105 111 112 120 140 148 168 185 210 222 240 259 280 296 336 370 420 444 518 555 560 592 740 777 840 888 1036 1110 1295 1480 1554 1680 1776 2072 2220 2590 2960 3108 3885 4144 4440 5180 6216 7770 8880 10360 12432 15540 20720 21107 31080 42214 62160 63321 84428 105535 126642 147749 168856 211070 253284 295498 316605 337712 422140 443247 506568 590996 633210 738745 780959 844280 886494 1013136 1181992 1266420 1477490 1561918 1688560 1772988 2216235 2342877 2363984 2532840 2954980 3123836 3545976 3904795 4432470 4685754 5065680 5466713 5909960 6247672 7091952 7809590 8864940 9371508 10933426 11714385 11819920 12495344 15619180 16400139 17729880 18743016 21866852 23428770 27333565 31238360 32800278 35459760 37486032 43733704 46857540 54667130 62476720 65600556 82000695 87467408 93715080 109334260 131201112 164001390 187430160 218668520 262402224 328002780 437337040 656005560 1312011120