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312111101103100 = 2252131251071919041
BaseRepresentation
bin100011011110111010000011…
…1010011111100101111111100
31111221002112022021100111111221
41012331310013103330233330
5311402112013340244400
63023445505504323124
7122512166020342135
oct10675640723745774
91457075267314457
10312111101103100
11904a26359424a2
122b0092803134a4
131051cc4846a3a0
145710387942c8c
152613ad5379c1a
hex11bdd074fcbfc

312111101103100 has 72 divisors (see below), whose sum is σ = 729385844856368. Its totient is φ = 115240040755200.

The previous prime is 312111101103091. The next prime is 312111101103101. The reversal of 312111101103100 is 1301101111213.

It is a super-2 number, since 2×3121111011031002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312111101103101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161679580 + ... + 163598620.

Almost surely, 2312111101103100 is an apocalyptic number.

It is an amenable number.

312111101103100 is an abundant number, since it is smaller than the sum of its proper divisors (417274743753268).

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

312111101103100 is a wasteful number, since it uses less digits than its factorization.

312111101103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044175 (or 2044168 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 312111101103100 its reverse (1301101111213), we get a palindrome (313412202214313).

The spelling of 312111101103100 in words is "three hundred twelve trillion, one hundred eleven billion, one hundred one million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 125107 250214 500428 625535 1251070 1626391 1919041 2502140 3127675 3252782 3838082 6255350 6505564 7676164 8131955 9595205 12510700 16263910 19190410 24947533 32527820 38380820 40659775 47976025 49895066 81319550 95952050 99790132 124737665 162639100 191904100 249475330 498950660 623688325 1247376650 2494753300 240085462387 480170924774 960341849548 1200427311935 2400854623870 3121111011031 4801709247740 6002136559675 6242222022062 12004273119350 12484444044124 15605555055155 24008546238700 31211110110310 62422220220620 78027775275775 156055550551550 312111101103100