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131001330200220 = 223254191736957441
BaseRepresentation
bin11101110010010100011111…
…110000000110111010011100
3122011211121022221102212220200
4131302110133300012322130
5114132311211012401340
61142341102535143500
736410351041032324
oct3562243760067234
9564747287385820
10131001330200220
1138817396778247
1212838b28514b90
1358134ac300b3c
14244c6d9148284
1510229a29b8330
hex77251fc06e9c

131001330200220 has 72 divisors (see below), whose sum is σ = 398319080599440. Its totient is φ = 34850314076160.

The previous prime is 131001330200219. The next prime is 131001330200227. The reversal of 131001330200220 is 22002033100131.

131001330200220 is a `hidden beast` number, since 1 + 310 + 0 + 1 + 330 + 2 + 0 + 0 + 2 + 20 = 666.

It is a super-2 number, since 2×1310013302002202 (a number of 29 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 = 131001330200193 and 131001330200202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001330200227) 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, 868403301 + ... + 868554140.

It is an arithmetic number, because the mean of its divisors is an integer number (5532209452770).

Almost surely, 2131001330200220 is an apocalyptic number.

131001330200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131001330200220 is an abundant number, since it is smaller than the sum of its proper divisors (267317750399220).

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

131001330200220 is a wasteful number, since it uses less digits than its factorization.

131001330200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736957875 (or 1736957870 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131001330200220 its reverse (22002033100131), we get a palindrome (153003363300351).

The spelling of 131001330200220 in words is "one hundred thirty-one trillion, one billion, three hundred thirty million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 419 838 1257 1676 2095 2514 3771 4190 5028 6285 7542 8380 12570 15084 18855 25140 37710 75420 1736957441 3473914882 5210872323 6947829764 8684787205 10421744646 15632616969 17369574410 20843489292 26054361615 31265233938 34739148820 52108723230 62530467876 78163084845 104217446460 156326169690 312652339380 727785167779 1455570335558 2183355503337 2911140671116 3638925838895 4366711006674 6550066510011 7277851677790 8733422013348 10916777516685 13100133020022 14555703355580 21833555033370 26200266040044 32750332550055 43667110066740 65500665100110 131001330200220