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132121012112034 = 2311231671588932801
BaseRepresentation
bin11110000010100111010001…
…111111101000101010100010
3122022210122102111111100221020
4132002213101333220222202
5114304132313100041114
61144555315520310310
736554266563200061
oct3602472177505242
9568718374440836
10132121012112034
113910922aa49960
1212999b2b772396
135894c5b8c1a7a
14248a9965761d8
151041b86301aa9
hex7829d1fe8aa2

132121012112034 has 128 divisors (see below), whose sum is σ = 302626696458240. Its totient is φ = 38063072256000.

The previous prime is 132121012112029. The next prime is 132121012112041. The reversal of 132121012112034 is 430211210121231.

It is a junction number, because it is equal to n+sod(n) for n = 132121012111995 and 132121012112013.

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, 4027940434 + ... + 4027973234.

It is an arithmetic number, because the mean of its divisors is an integer number (2364271066080).

Almost surely, 2132121012112034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132121012112034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151313348229120).

132121012112034 is an abundant number, since it is smaller than the sum of its proper divisors (170505684346206).

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

132121012112034 is a wasteful number, since it uses less digits than its factorization.

132121012112034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48896.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 132121012112034 its reverse (430211210121231), we get a palindrome (562332222233265).

The spelling of 132121012112034 in words is "one hundred thirty-two trillion, one hundred twenty-one billion, twelve million, one hundred twelve thousand, thirty-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 167 253 334 501 506 759 1002 1518 1837 3674 3841 5511 7682 11022 11523 15889 23046 31778 32801 42251 47667 65602 84502 95334 98403 126753 174779 196806 253506 349558 360811 365447 524337 721622 730894 754423 1048674 1082433 1096341 1508846 2164866 2192682 2263269 2653463 4019917 4526538 5306926 5477767 7960389 8039834 8298653 10955534 12059751 15920778 16433301 16597306 24119502 24895959 29188093 32866602 49791918 58376186 60255437 61029649 87564279 120510874 122059298 125988641 175128558 180766311 183088947 251977282 361532622 366177894 377965923 521175089 671326139 755931846 1042350178 1342652278 1385875051 1563525267 2013978417 2771750102 3127050534 4027956834 4157625153 5732925979 8315250306 11465851958 11987027047 17198777937 23974054094 34397555874 35961081141 71922162282 87036239863 131857297517 174072479726 261108719589 263714595034 395571892551 522217439178 791143785102 957398638493 1914797276986 2001833516849 2872195915479 4003667033698 5744391830958 6005500550547 12011001101094 22020168685339 44040337370678 66060506056017 132121012112034