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131033310320 = 24511214899091
BaseRepresentation
bin111101000001000110…
…0011010010001110000
3110112012221021211220102
41322002030122101300
54121324011412240
6140110150331532
712316061521613
oct1720214322160
9415187254812
10131033310320
1150630984500
122148a959ba8
13c482ca5663
1464b080817a
15361d924815
hex1e8231a470

131033310320 has 120 divisors (see below), whose sum is σ = 335127665040. Its totient is φ = 47611238400.

The previous prime is 131033310313. The next prime is 131033310329. The reversal of 131033310320 is 23013330131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131033310292 and 131033310301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131033310329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14408975 + ... + 14418065.

It is an arithmetic number, because the mean of its divisors is an integer number (2792730542).

Almost surely, 2131033310320 is an apocalyptic number.

131033310320 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 131033310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167563832520).

131033310320 is an abundant number, since it is smaller than the sum of its proper divisors (204094354720).

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

131033310320 is a wasteful number, since it uses less digits than its factorization.

131033310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10615 (or 10598 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 131033310320 its reverse (23013330131), we get a palindrome (154046640451).

The spelling of 131033310320 in words is "one hundred thirty-one billion, thirty-three million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1489 1936 2420 2978 4840 5956 7445 9091 9680 11912 14890 16379 18182 23824 29780 32758 36364 45455 59560 65516 72728 81895 90910 100001 119120 131032 145456 163790 180169 181820 200002 262064 327580 360338 363640 400004 500005 655160 720676 727280 800008 900845 1000010 1100011 1310320 1441352 1600016 1801690 2000020 2200022 2882704 3603380 4000040 4400044 5500055 7206760 8000080 8800088 11000110 13536499 14413520 17600176 22000220 27072998 44000440 54145996 67682495 88000880 108291992 135364990 148901489 216583984 270729980 297802978 541459960 595605956 744507445 1082919920 1191211912 1489014890 1637916379 2382423824 2978029780 3275832758 5956059560 6551665516 8189581895 11912119120 13103331032 16379163790 26206662064 32758327580 65516655160 131033310320