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31112213120 = 275432414691
BaseRepresentation
bin11100111110011011…
…101011001010000000
32222022021010011221122
4130332123223022000
51002204211304440
622143122411412
72150663306462
oct347633531200
988267104848
1031112213120
111221604022a
126043500b68
132c1a930a81
141712046132
15c215c37b5
hex73e6eb280

31112213120 has 128 divisors (see below), whose sum is σ = 76439436480. Its totient is φ = 12102451200.

The previous prime is 31112213113. The next prime is 31112213123. The reversal of 31112213120 is 2131221113.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (31112213123) 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, 6629975 + ... + 6634665.

Almost surely, 231112213120 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 31112213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38219718240).

31112213120 is an abundant number, since it is smaller than the sum of its proper divisors (45327223360).

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

31112213120 is a wasteful number, since it uses less digits than its factorization.

31112213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4994 (or 4982 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 31112213120 its reverse (2131221113), we get a palindrome (33243434233).

The spelling of 31112213120 in words is "thirty-one billion, one hundred twelve million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 241 320 344 430 482 640 688 860 964 1205 1376 1720 1928 2410 2752 3440 3856 4691 4820 5504 6880 7712 9382 9640 10363 13760 15424 18764 19280 20726 23455 27520 30848 37528 38560 41452 46910 51815 75056 77120 82904 93820 103630 150112 154240 165808 187640 201713 207260 300224 331616 375280 403426 414520 600448 663232 750560 806852 829040 1008565 1130531 1326464 1501120 1613704 1658080 2017130 2261062 3002240 3227408 3316160 4034260 4522124 5652655 6454816 6632320 8068520 9044248 11305310 12909632 16137040 18088496 22610620 25819264 32274080 36176992 45221240 48612833 64548160 72353984 90442480 97225666 129096320 144707968 180884960 194451332 243064165 361769920 388902664 486128330 723539840 777805328 972256660 1555610656 1944513320 3111221312 3889026640 6222442624 7778053280 15556106560 31112213120