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31121120000 = 2854194507
BaseRepresentation
bin11100111110111101…
…101001101100000000
32222022212212200220002
4130332331221230000
51002214001320000
622144041335132
72151132104165
oct347675515400
988285780802
1031121120000
1112220074093
1260464974a8
132c1c72bc09
1417132c406c
15c222828d5
hex73ef69b00

31121120000 has 90 divisors (see below), whose sum is σ = 77626392228. Its totient is φ = 12448384000.

The previous prime is 31121119993. The next prime is 31121120119. The reversal of 31121120000 is 2112113.

It is a super-2 number, since 2×311211200002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 62747 + ... + 257253.

Almost surely, 231121120000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31121120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38813196114).

31121120000 is an abundant number, since it is smaller than the sum of its proper divisors (46505272228).

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

31121120000 is an frugal number, since it uses more digits than its factorization.

31121120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194543 (or 194514 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 31121120000 its reverse (2112113), we get a palindrome (31123232113).

The spelling of 31121120000 in words is "thirty-one billion, one hundred twenty-one million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 80000 160000 194507 389014 778028 972535 1556056 1945070 3112112 3890140 4862675 6224224 7780280 9725350 12448448 15560560 19450700 24313375 24896896 31121120 38901400 48626750 49793792 62242240 77802800 97253500 121566875 124484480 155605600 194507000 243133750 248968960 311211200 389014000 486267500 622422400 778028000 972535000 1244844800 1556056000 1945070000 3112112000 3890140000 6224224000 7780280000 15560560000 31121120000