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31041031120 = 24511194145281
BaseRepresentation
bin11100111010001100…
…001000101111010000
32222010022011202121021
4130322030020233100
51002033000443440
622132101005224
72146140261001
oct347214105720
988108152537
1031041031120
1112189942130
1260236b3814
132c08c6a248
1417067d71a8
15c1a21284a
hex73a308bd0

31041031120 has 160 divisors (see below), whose sum is σ = 84898316160. Its totient is φ = 10432512000.

The previous prime is 31041031111. The next prime is 31041031121. The reversal of 31041031120 is 2113014013.

It is a super-2 number, since 2×310410311202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 31041031094 and 31041031103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31041031121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662880 + ... + 708160.

It is an arithmetic number, because the mean of its divisors is an integer number (530614476).

Almost surely, 231041031120 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 31041031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42449158080).

31041031120 is an abundant number, since it is smaller than the sum of its proper divisors (53857285040).

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

31041031120 is a wasteful number, since it uses less digits than its factorization.

31041031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45365 (or 45359 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31041031120 its reverse (2113014013), we get a palindrome (33154045133).

The spelling of 31041031120 in words is "thirty-one billion, forty-one million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 41 44 55 76 80 82 88 95 110 152 164 176 190 205 209 220 304 328 380 410 418 440 451 656 760 779 820 836 880 902 1045 1520 1558 1640 1672 1804 2090 2255 3116 3280 3344 3608 3895 4180 4510 6232 7216 7790 8360 8569 9020 12464 15580 16720 17138 18040 31160 34276 36080 42845 45281 62320 68552 85690 90562 137104 171380 181124 226405 342760 362248 452810 498091 685520 724496 860339 905620 996182 1720678 1811240 1856521 1992364 2490455 3441356 3622480 3713042 3984728 4301695 4980910 6882712 7426084 7969456 8603390 9282605 9463729 9961820 13765424 14852168 17206780 18565210 18927458 19923640 20421731 29704336 34413560 35273899 37130420 37854916 39847280 40843462 47318645 68827120 70547798 74260840 75709832 81686924 94637290 102108655 141095596 148521680 151419664 163373848 176369495 189274580 204217310 282191192 326747696 352738990 378549160 388012889 408434620 564382384 705477980 757098320 776025778 816869240 1410955960 1552051556 1633738480 1940064445 2821911920 3104103112 3880128890 6208206224 7760257780 15520515560 31041031120