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131244142303032 = 233114211632318671
BaseRepresentation
bin11101110101110110101000…
…011110110001011100111000
3122012200211001221020201202120
4131311312220132301130320
5114200301000412144112
61143044420541201240
736434035123613523
oct3565665036613470
9565624057221676
10131244142303032
11389003678909a0
1212877bb1860220
135830367179515
14245a37108bbba
151028e6474ee8c
hex775da87b1738

131244142303032 has 128 divisors (see below), whose sum is σ = 358099371601920. Its totient is φ = 39753090032000.

The previous prime is 131244142302941. The next prime is 131244142303067. The reversal of 131244142303032 is 230303241442131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 131244142302984 and 131244142303002.

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, 7029295057 + ... + 7029313727.

It is an arithmetic number, because the mean of its divisors is an integer number (2797651340640).

Almost surely, 2131244142303032 is an apocalyptic number.

131244142303032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131244142303032 is an abundant number, since it is smaller than the sum of its proper divisors (226855229298888).

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

131244142303032 is a wasteful number, since it uses less digits than its factorization.

131244142303032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29225 (or 29221 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 131244142303032 its reverse (230303241442131), we get a palindrome (361547383745163).

The spelling of 131244142303032 in words is "one hundred thirty-one trillion, two hundred forty-four billion, one hundred forty-two million, three hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 4211 6323 8422 12633 12646 16844 18671 18969 25266 25292 33688 37342 37938 46321 50532 50584 56013 69553 74684 75876 92642 101064 112026 138963 139106 149368 151752 185284 205381 208659 224052 277926 278212 370568 410762 417318 448104 555852 556424 616143 821524 834636 1111704 1232286 1643048 1669272 2464572 4929144 26626153 53252306 78623581 79878459 106504612 118056733 157247162 159756918 213009224 235870743 236113466 292887683 314494324 319513836 354170199 471741486 472226932 585775366 628988648 639027672 708340398 864859391 878663049 943482972 944453864 1171550732 1298624063 1416680796 1729718782 1757326098 1886965944 2343101464 2594578173 2597248126 2833361592 3459437564 3514652196 3895872189 5189156346 5194496252 6918875128 7029304392 7791744378 10378312692 10388992504 15583488756 20756625384 31166977512 497136902663 994273805326 1491410707989 1988547610652 2982821415978 3977095221304 5468505929293 5965642831956 10937011858586 11931285663912 16405517787879 21874023717172 32811035575758 43748047434344 65622071151516 131244142303032