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20120312102320 = 2451316091315199
BaseRepresentation
bin1001001001100101000000…
…00011100011110110110000
32122020111001010220120001101
410210302200003203312300
510114122344344233240
6110443051020014144
74144434043020403
oct444624003436660
978214033816041
1020120312102320
116457a81712261
12230b54b991354
13b2c450045621
144d7b84c07d3a
1524d59743b39a
hex124ca00e3db0

20120312102320 has 80 divisors (see below), whose sum is σ = 47144711116800. Its totient is φ = 7985352211200.

The previous prime is 20120312102269. The next prime is 20120312102327. The reversal of 20120312102320 is 2320121302102.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (20120312102327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63676081 + ... + 63991279.

It is an arithmetic number, because the mean of its divisors is an integer number (589308888960).

Almost surely, 220120312102320 is an apocalyptic number.

20120312102320 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 20120312102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23572355558400).

20120312102320 is an abundant number, since it is smaller than the sum of its proper divisors (27024399014480).

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

20120312102320 is a wasteful number, since it uses less digits than its factorization.

20120312102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321434 (or 321428 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20120312102320 its reverse (2320121302102), we get a palindrome (22440433404422).

The spelling of 20120312102320 in words is "twenty trillion, one hundred twenty billion, three hundred twelve million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 2096 2620 5240 6091 10480 12182 24364 30455 48728 60910 97456 121820 243640 315199 487280 630398 797921 1260796 1575995 1595842 2521592 3151990 3191684 3989605 5043184 6303980 6383368 7979210 12607960 12766736 15958420 25215920 31916840 41291069 63833680 82582138 165164276 206455345 330328552 412910690 660657104 825821380 1651642760 1919877109 3303285520 3839754218 7679508436 9599385545 15359016872 19198771090 30718033744 38397542180 76795084360 153590168720 251503901279 503007802558 1006015605116 1257519506395 2012031210232 2515039012790 4024062420464 5030078025580 10060156051160 20120312102320