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131211211133442 = 2311311491361316243
BaseRepresentation
bin11101110101010111111101…
…101000010101001000000010
3122012120200001220102222121210
4131311113331220111020002
5114144231030022232232
61143021333120030550
736431461062364656
oct3565277550251002
9565520056388553
10131211211133442
11388983a9019860
1212871741162456
13582a21974c25b
142458929636a66
15102818862b5cc
hex7755fda15202

131211211133442 has 128 divisors (see below), whose sum is σ = 297716655513600. Its totient is φ = 38191913856000.

The previous prime is 131211211133381. The next prime is 131211211133581. The reversal of 131211211133442 is 244331112112131.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414748173 + ... + 415064415.

It is an arithmetic number, because the mean of its divisors is an integer number (2325911371200).

Almost surely, 2131211211133442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131211211133442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148858327756800).

131211211133442 is an abundant number, since it is smaller than the sum of its proper divisors (166505444380158).

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

131211211133442 is a wasteful number, since it uses less digits than its factorization.

131211211133442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317800.

The product of its digits is 3456, while the sum is 30.

Adding to 131211211133442 its reverse (244331112112131), we get a palindrome (375542323245573).

The spelling of 131211211133442 in words is "one hundred thirty-one trillion, two hundred eleven billion, two hundred eleven million, one hundred thirty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 149 186 298 341 447 682 894 1023 1361 1639 2046 2722 3278 4083 4619 4917 8166 9238 9834 13857 14971 27714 29942 42191 44913 50809 84382 89826 101618 126573 152427 202789 253146 304854 316243 405578 464101 608367 632486 928202 948729 1216734 1392303 1897458 2230679 2784606 3478673 4461358 6286459 6692037 6957346 9803533 10436019 12572918 13384074 18859377 19607066 20872038 29410599 37718754 47120207 58821198 69151049 94240414 107838863 138302098 141360621 207453147 215677726 282721242 323516589 414906294 430406723 518322277 647033178 860813446 1036644554 1291220169 1460726417 1554966831 2582440338 2921452834 3109933662 4382179251 4734473953 8764358502 9468947906 13342608413 14203421859 16067990587 26685216826 28406843718 32135981174 40027825239 48203971761 64130601727 80055650478 96407943522 128261203454 146768692543 192391805181 293537385086 384783610362 440306077629 705436618997 880612155258 1410873237994 1988048653537 2116309856991 3976097307074 4232619713982 5964145960611 11928291921222 21868535188907 43737070377814 65605605566721 131211211133442