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31120012301312 = 210113943700681
BaseRepresentation
bin1110001001101101100010…
…10001110101010000000000
311002012001012011102202200202
413010312301101311100000
513034332241122120222
6150104200345504332
76361226626023434
oct704666121652000
9132161164382622
1031120012301312
119a08a17713240
1235a73251a20a8
1314497b230b31c
1479830661c9c4
1538e782625892
hex1c4db1475400

31120012301312 has 88 divisors (see below), whose sum is σ = 67882363643712. Its totient is φ = 14141852467200.

The previous prime is 31120012301281. The next prime is 31120012301333. The reversal of 31120012301312 is 21310321002113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44063612 + ... + 44764292.

Almost surely, 231120012301312 is an apocalyptic number.

31120012301312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31120012301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33941181821856).

31120012301312 is an abundant number, since it is smaller than the sum of its proper divisors (36762351342400).

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

31120012301312 is a wasteful number, since it uses less digits than its factorization.

31120012301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704655 (or 704637 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 31120012301312 its reverse (21310321002113), we get a palindrome (52430333303425).

The spelling of 31120012301312 in words is "thirty-one trillion, one hundred twenty billion, twelve million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 3943 5632 7886 11264 15772 31544 43373 63088 86746 126176 173492 252352 346984 504704 693968 700681 1009408 1387936 1401362 2018816 2775872 2802724 4037632 5551744 5605448 7707491 11103488 11210896 15414982 22206976 22421792 30829964 44413952 44843584 61659928 89687168 123319856 179374336 246639712 358748672 493279424 717497344 986558848 1973117696 2762785183 3946235392 5525570366 7892470784 11051140732 22102281464 30390637013 44204562928 60781274026 88409125856 121562548052 176818251712 243125096104 353636503424 486250192208 707273006848 972500384416 1414546013696 1945000768832 2829092027392 3890001537664 7780003075328 15560006150656 31120012301312