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131023022220 = 223252379739709
BaseRepresentation
bin111101000000110010…
…1001010100010001100
3110112012012221011021200
41322001211022202030
54121313343202340
6140105142025500
712315605212266
oct1720145124214
9415165834250
10131023022220
1150626097942
1221487418290
13c480b1291c
1464ad2cab36
15361ca91330
hex1e8194a88c

131023022220 has 144 divisors (see below), whose sum is σ = 415247152320. Its totient is φ = 33377591808.

The previous prime is 131023022201. The next prime is 131023022293. The reversal of 131023022220 is 22220320131.

It is a super-2 number, since 2×1310230222202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131023022193 and 131023022202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3279726 + ... + 3319434.

It is an arithmetic number, because the mean of its divisors is an integer number (2883660780).

Almost surely, 2131023022220 is an apocalyptic number.

131023022220 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 131023022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207623576160).

131023022220 is an abundant number, since it is smaller than the sum of its proper divisors (284224130100).

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

131023022220 is a wasteful number, since it uses less digits than its factorization.

131023022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40544 (or 40539 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 131023022220 its reverse (22220320131), we get a palindrome (153243342351).

The spelling of 131023022220 in words is "one hundred thirty-one billion, twenty-three million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 797 828 1035 1380 1594 2070 2391 3188 3985 4140 4782 7173 7970 9564 11955 14346 15940 18331 23910 28692 35865 36662 39709 47820 54993 71730 73324 79418 91655 109986 119127 143460 158836 164979 183310 198545 219972 238254 274965 329958 357381 366620 397090 476508 549930 595635 659916 714762 794180 824895 913307 1099860 1191270 1429524 1649790 1786905 1826614 2382540 2739921 3299580 3573810 3653228 4566535 5479842 7147620 8219763 9133070 10959684 13699605 16439526 18266140 27399210 31648073 32879052 41098815 54798420 63296146 82197630 94944219 126592292 158240365 164395260 189888438 284832657 316480730 379776876 474721095 569665314 632961460 727905679 949442190 1139330628 1424163285 1455811358 1898884380 2183717037 2848326570 2911622716 3639528395 4367434074 5696653140 6551151111 7279056790 8734868148 10918585185 13102302222 14558113580 21837170370 26204604444 32755755555 43674340740 65511511110 131023022220