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31012031120 = 2457479115613
BaseRepresentation
bin11100111000011101…
…100000101010010000
32222001021121102002012
4130320131200222100
51002003034443440
622125143242052
72145335625620
oct347035405220
988037542065
1031012031120
1112174534a94
126015a49328
132c02c55495
141702a08880
15c178d4e65
hex738760a90

31012031120 has 80 divisors (see below), whose sum is σ = 82576143360. Its totient is φ = 10610406912.

The previous prime is 31012031119. The next prime is 31012031129. The reversal of 31012031120 is 2113021013.

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

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 31012031095 and 31012031104.

It is not an unprimeable number, because it can be changed into a prime (31012031129) 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, 210434 + ... + 326046.

It is an arithmetic number, because the mean of its divisors is an integer number (1032201792).

Almost surely, 231012031120 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 31012031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41288071680).

31012031120 is an abundant number, since it is smaller than the sum of its proper divisors (51564112240).

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

31012031120 is a wasteful number, since it uses less digits than its factorization.

31012031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116112 (or 116106 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 31012031120 its reverse (2113021013), we get a palindrome (33125052133).

The spelling of 31012031120 in words is "thirty-one billion, twelve million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 479 560 958 1916 2395 3353 3832 4790 6706 7664 9580 13412 16765 19160 26824 33530 38320 53648 67060 115613 134120 231226 268240 462452 578065 809291 924904 1156130 1618582 1849808 2312260 3237164 4046455 4624520 6474328 8092910 9249040 12948656 16185820 32371640 55378627 64743280 110757254 221514508 276893135 387650389 443029016 553786270 775300778 886058032 1107572540 1550601556 1938251945 2215145080 3101203112 3876503890 4430290160 6202406224 7753007780 15506015560 31012031120