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131033231010 = 23451125757223
BaseRepresentation
bin111101000001000110…
…0000110111010100010
3110112012221010211010000
41322002030012322202
54121324001343020
6140110144520430
712316061041443
oct1720214067242
9415187124100
10131033231010
115063092a960
122148a920116
13c482c78526
1464b07c72ca
15361d90b090
hex1e82306ea2

131033231010 has 160 divisors (see below), whose sum is σ = 385866467712. Its totient is φ = 31641477120.

The previous prime is 131033230949. The next prime is 131033231071. The reversal of 131033231010 is 10132330131.

It is a happy number.

131033231010 is a `hidden beast` number, since 1 + 3 + 10 + 332 + 310 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (131033230949) and next prime (131033231071).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2261259 + ... + 2318481.

Almost surely, 2131033231010 is an apocalyptic number.

131033231010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131033231010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192933233856).

131033231010 is an abundant number, since it is smaller than the sum of its proper divisors (254833236702).

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

131033231010 is a wasteful number, since it uses less digits than its factorization.

131033231010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57510 (or 57501 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131033231010 its reverse (10132330131), we get a palindrome (141165561141).

The spelling of 131033231010 in words is "one hundred thirty-one billion, thirty-three million, two hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 257 270 297 330 405 495 514 594 771 810 891 990 1285 1485 1542 1782 2313 2570 2827 2970 3855 4455 4626 5654 6939 7710 8481 8910 11565 13878 14135 16962 20817 23130 25443 28270 34695 41634 42405 50886 57223 69390 76329 84810 104085 114446 127215 152658 171669 208170 228987 254430 286115 343338 381645 457974 515007 572230 629453 763290 858345 1030014 1144935 1258906 1545021 1716690 1888359 2289870 2575035 3090042 3147265 3776718 4635063 5150070 5665077 6294530 7725105 9270126 9441795 11330154 14706311 15450210 16995231 18883590 23175315 28325385 29412622 33990462 44118933 46350630 50985693 56650770 73531555 84976155 88237866 101971386 132356799 147063110 161769421 169952310 220594665 254928465 264713598 323538842 397070397 441189330 485308263 509856930 661783995 794140794 808847105 970616526 1191211191 1323567990 1455924789 1617694210 1985351985 2382422382 2426541315 2911849578 3970703970 4367774367 4853082630 5956055955 7279623945 8735548734 11912111910 13103323101 14559247890 21838871835 26206646202 43677743670 65516615505 131033231010