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2312311120020 = 22325111229950231
BaseRepresentation
bin100001101001100000011…
…110111010000010010100
322012001110221022120111100
4201221200132322002110
5300341103121320040
64530132220110100
7326026140136536
oct41514036720224
98161427276440
102312311120020
11811711388840
12314184395330
1313a085b19b85
147dcb8a79856
15402363b5b30
hex21a607ba094

2312311120020 has 144 divisors (see below), whose sum is σ = 7657881678720. Its totient is φ = 560103571200.

The previous prime is 2312311120013. The next prime is 2312311120037. The reversal of 2312311120020 is 200211132132.

2312311120020 is a `hidden beast` number, since 2 + 312 + 311 + 1 + 20 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2312311119975 and 2312311120002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1958305 + ... + 2908535.

It is an arithmetic number, because the mean of its divisors is an integer number (53179733880).

Almost surely, 22312311120020 is an apocalyptic number.

2312311120020 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 2312311120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828940839360).

2312311120020 is an abundant number, since it is smaller than the sum of its proper divisors (5345570558700).

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

2312311120020 is a wasteful number, since it uses less digits than its factorization.

2312311120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951486 (or 951481 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2312311120020 its reverse (200211132132), we get a palindrome (2512522252152).

The spelling of 2312311120020 in words is "two trillion, three hundred twelve billion, three hundred eleven million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1229 1980 2458 3687 4916 6145 7374 11061 12290 13519 14748 18435 22122 24580 27038 36870 40557 44244 54076 55305 67595 73740 81114 110610 121671 135190 162228 202785 221220 243342 270380 405570 486684 608355 811140 950231 1216710 1900462 2433420 2850693 3800924 4751155 5701386 8552079 9502310 10452541 11402772 14253465 17104158 19004620 20905082 28506930 31357623 34208316 41810164 42760395 52262705 57013860 62715246 85520790 94072869 104525410 125430492 156788115 171041580 188145738 209050820 313576230 376291476 470364345 627152460 940728690 1167833899 1881457380 2335667798 3503501697 4671335596 5839169495 7007003394 10510505091 11678338990 12846172889 14014006788 17517508485 21021010182 23356677980 25692345778 35035016970 38538518667 42042020364 51384691556 52552525455 64230864445 70070033940 77077037334 105105050910 115615556001 128461728890 154154074668 192692593335 210210101820 231231112002 256923457780 385385186670 462462224004 578077780005 770770373340 1156155560010 2312311120020