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131212321020 = 2232511199933151
BaseRepresentation
bin111101000110011011…
…1010010000011111100
3110112200102010112102100
41322030313102003330
54122210323233040
6140140023225100
712323364216654
oct1721467220374
9415612115370
10131212321020
1150712a30930
122151a8a8190
13c4b10c1151
1464ca4c5364
15362e4d4b30
hex1e8cdd20fc

131212321020 has 144 divisors (see below), whose sum is σ = 434423808000. Its totient is φ = 31792176000.

The previous prime is 131212321013. The next prime is 131212321021. The reversal of 131212321020 is 20123212131.

131212321020 is a `hidden beast` number, since 1 + 312 + 12 + 321 + 0 + 20 = 666.

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 = 131212320984 and 131212321002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131212321021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3941445 + ... + 3974595.

It is an arithmetic number, because the mean of its divisors is an integer number (3016832000).

Almost surely, 2131212321020 is an apocalyptic number.

131212321020 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 131212321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217211904000).

131212321020 is an abundant number, since it is smaller than the sum of its proper divisors (303211486980).

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

131212321020 is a wasteful number, since it uses less digits than its factorization.

131212321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35176 (or 35171 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131212321020 its reverse (20123212131), we get a palindrome (151335533151).

The spelling of 131212321020 in words is "one hundred thirty-one billion, two hundred twelve million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 1999 3998 5997 7996 9995 11994 17991 19990 21989 23988 29985 33151 35982 39980 43978 59970 65967 66302 71964 87956 89955 99453 109945 119940 131934 132604 165755 179910 197901 198906 219890 263868 298359 329835 331510 359820 364661 395802 397812 439780 497265 596718 659670 663020 729322 791604 989505 994530 1093983 1193436 1319340 1458644 1491795 1823305 1979010 1989060 2187966 2983590 3281949 3646610 3958020 4375932 5469915 5967180 6563898 7293220 10939830 13127796 16409745 21879660 32819490 65638980 66268849 132537698 198806547 265075396 331344245 397613094 596419641 662688490 728957339 795226188 994032735 1192839282 1325376980 1457914678 1988065470 2186872017 2385678564 2915829356 2982098205 3644786695 3976130940 4373744034 5964196410 6560616051 7289573390 8747488068 10934360085 11928392820 13121232102 14579146780 21868720170 26242464204 32803080255 43737440340 65606160510 131212321020