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31121231000 = 23532310113397
BaseRepresentation
bin11100111110111110…
…000100110010011000
32222022220002100011012
4130332332010302120
51002214013343000
622144043553052
72151133045616
oct347676046230
988286070135
1031121231000
111222013a522
12604652b788
132c1c76a5b2
1417133126b6
15c222a5735
hex73ef84c98

31121231000 has 128 divisors (see below), whose sum is σ = 76748031360. Its totient is φ = 11788480000.

The previous prime is 31121230993. The next prime is 31121231027. The reversal of 31121231000 is 13212113.

It is a super-2 number, since 2×311212310002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2316302 + ... + 2329698.

It is an arithmetic number, because the mean of its divisors is an integer number (599593995).

Almost surely, 231121231000 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 31121231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38374015680).

31121231000 is an abundant number, since it is smaller than the sum of its proper divisors (45626800360).

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

31121231000 is a wasteful number, since it uses less digits than its factorization.

31121231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13542 (or 13528 counting only the distinct ones).

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

Adding to 31121231000 its reverse (13212113), we get a palindrome (31134443113).

The spelling of 31121231000 in words is "thirty-one billion, one hundred twenty-one million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 101 115 125 184 200 202 230 250 404 460 500 505 575 808 920 1000 1010 1150 2020 2300 2323 2525 2875 4040 4600 4646 5050 5750 9292 10100 11500 11615 12625 13397 18584 20200 23000 23230 25250 26794 46460 50500 53588 58075 66985 92920 101000 107176 116150 133970 232300 267940 290375 308131 334925 464600 535880 580750 616262 669850 1161500 1232524 1339700 1353097 1540655 1674625 2323000 2465048 2679400 2706194 3081310 3349250 5412388 6162620 6698500 6765485 7703275 10824776 12325240 13397000 13530970 15406550 27061940 30813100 31121231 33827425 38516375 54123880 61626200 62242462 67654850 77032750 124484924 135309700 154065500 155606155 169137125 248969848 270619400 308131000 311212310 338274250 622424620 676548500 778030775 1244849240 1353097000 1556061550 3112123100 3890153875 6224246200 7780307750 15560615500 31121231000