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131021033320 = 23547591796599
BaseRepresentation
bin111101000000101110…
…1100100111101101000
3110112012002012010000201
41322001131210331220
54121312341031240
6140105031241544
712315552256612
oct1720135447550
9415162163021
10131021033320
1150624a59621
12214868192b4
13c480597568
1464acd2ddb2
15361c7ebd9a
hex1e81764f68

131021033320 has 128 divisors (see below), whose sum is σ = 307929600000. Its totient is φ = 50134665472.

The previous prime is 131021033309. The next prime is 131021033369. The reversal of 131021033320 is 23330120131.

It is a super-2 number, since 2×1310210333202 (a number of 23 digits) contains 22 as substring.

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, 19851381 + ... + 19857979.

It is an arithmetic number, because the mean of its divisors is an integer number (2405700000).

Almost surely, 2131021033320 is an apocalyptic number.

131021033320 is a gapful number since it is divisible by the number (10) 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 131021033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153964800000).

131021033320 is an abundant number, since it is smaller than the sum of its proper divisors (176908566680).

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

131021033320 is a wasteful number, since it uses less digits than its factorization.

131021033320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6895 (or 6891 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 131021033320 its reverse (23330120131), we get a palindrome (154351153451).

The spelling of 131021033320 in words is "one hundred thirty-one billion, twenty-one million, thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 59 94 118 179 188 235 236 295 358 376 470 472 590 716 895 940 1180 1432 1790 1880 2360 2773 3580 5546 6599 7160 8413 10561 11092 13198 13865 16826 21122 22184 26396 27730 32995 33652 42065 42244 52792 52805 55460 65990 67304 84130 84488 105610 110920 131980 168260 211220 263960 310153 336520 389341 422440 496367 620306 778682 992734 1181221 1240612 1550765 1557364 1946705 1985468 2362442 2481224 2481835 3101530 3114728 3893410 3970936 4724884 4963670 5906105 6203060 7786820 9449768 9927340 11812210 12406120 15573640 18299027 19854680 23624420 36598054 47248840 55517387 69692039 73196108 91495135 111034774 139384078 146392216 182990270 222069548 277586935 278768156 348460195 365980540 444139096 555173870 557536312 696920390 731961080 1110347740 1393840780 2220695480 2787681560 3275525833 6551051666 13102103332 16377629165 26204206664 32755258330 65510516660 131021033320