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131230033200220 = 225173718077577067
BaseRepresentation
bin11101110101101001011111…
…100000110100010001011100
3122012122110122122111001021011
4131311221133200310101130
5114200033101444401340
61143034124530145004
736433025362331143
oct3565513740642134
9565573578431234
10131230033200220
11388a5387644149
1212875314722164
13582bc2908a786
1424597d32d475a
1510288dac6a0ea
hex775a5f83445c

131230033200220 has 96 divisors (see below), whose sum is σ = 299697255813312. Its totient is φ = 48066255433728.

The previous prime is 131230033200197. The next prime is 131230033200247. The reversal of 131230033200220 is 22002330032131.

It is a super-2 number, since 2×1312300332002202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131230033200191 and 131230033200200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227120127 + ... + 227697193.

It is an arithmetic number, because the mean of its divisors is an integer number (3121846414722).

Almost surely, 2131230033200220 is an apocalyptic number.

131230033200220 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 131230033200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149848627906656).

131230033200220 is an abundant number, since it is smaller than the sum of its proper divisors (168467222613092).

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

131230033200220 is a wasteful number, since it uses less digits than its factorization.

131230033200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595207 (or 595205 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 131230033200220 its reverse (22002330032131), we get a palindrome (153232363232351).

The spelling of 131230033200220 in words is "one hundred thirty-one trillion, two hundred thirty billion, thirty-three million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 1258 2516 3145 6290 12580 18077 36154 72308 90385 180770 307309 361540 577067 614618 668849 1154134 1229236 1337698 1536545 2308268 2675396 2885335 3073090 3344245 5770670 6146180 6688490 9810139 11370433 11541340 13376980 19620278 21351479 22740866 39240556 42702958 45481732 49050695 56852165 85405916 98101390 106757395 113704330 196202780 213514790 227408660 362975143 427029580 725950286 1451900572 1814875715 3629751430 7259502860 10431640159 20863280318 41726560636 52158200795 104316401590 177337882703 208632803180 354675765406 385970685883 709351530812 771941371766 886689413515 1543882743532 1773378827030 1929853429415 3546757654060 3859706858830 6561501660011 7719413717660 13123003320022 26246006640044 32807508300055 65615016600110 131230033200220