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20120313120 = 253557772647
BaseRepresentation
bin10010101111010000…
…111001110100100000
31220221012220210211020
4102233100321310200
5312201300004440
613124304045440
71311412561005
oct225720716440
956835823736
1020120313120
118595435056
123a96303880
131b885b122b
14d8c2838ac
157cb5d43d0
hex4af439d20

20120313120 has 96 divisors (see below), whose sum is σ = 63489702528. Its totient is φ = 5356044288.

The previous prime is 20120313119. The next prime is 20120313133. The reversal of 20120313120 is 2131302102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20120313120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240637 + ... + 313283.

It is an arithmetic number, because the mean of its divisors is an integer number (661351068).

Almost surely, 220120313120 is an apocalyptic number.

20120313120 is a gapful number since it is divisible by the number (20) 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 20120313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31744851264).

20120313120 is an abundant number, since it is smaller than the sum of its proper divisors (43369389408).

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

20120313120 is a wasteful number, since it uses less digits than its factorization.

20120313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73242 (or 73234 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20120313120 its reverse (2131302102), we get a palindrome (22251615222).

The spelling of 20120313120 in words is "twenty billion, one hundred twenty million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 577 1154 1731 2308 2885 3462 4616 5770 6924 8655 9232 11540 13848 17310 18464 23080 27696 34620 46160 55392 69240 72647 92320 138480 145294 217941 276960 290588 363235 435882 581176 726470 871764 1089705 1162352 1452940 1743528 2179410 2324704 2905880 3487056 4358820 5811760 6974112 8717640 11623520 17435280 34870560 41917319 83834638 125751957 167669276 209586595 251503914 335338552 419173190 503007828 628759785 670677104 838346380 1006015656 1257519570 1341354208 1676692760 2012031312 2515039140 3353385520 4024062624 5030078280 6706771040 10060156560 20120313120