Search a number
-
+
121006105436334 = 23198939089305111
BaseRepresentation
bin11011100000110111101101…
…111011100010000010101110
3120212110001220112122202120010
4123200313231323202002232
5111330031000442430314
61105205234252034050
734326255045245136
oct3340675573420256
9525401815582503
10121006105436334
1135613445994858
12116a3963a62926
135269a99589321
1421c4a262cdac6
15dec9a6dd0059
hex6e0dedee20ae

121006105436334 has 64 divisors (see below), whose sum is σ = 257619486528000. Its totient is φ = 37782010506240.

The previous prime is 121006105436291. The next prime is 121006105436371. The reversal of 121006105436334 is 433634501600121.

It is a junction number, because it is equal to n+sod(n) for n = 121006105436292 and 121006105436301.

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, 396444439 + ... + 396749549.

It is an arithmetic number, because the mean of its divisors is an integer number (4025304477000).

Almost surely, 2121006105436334 is an apocalyptic number.

121006105436334 is an abundant number, since it is smaller than the sum of its proper divisors (136613381091666).

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

121006105436334 is a wasteful number, since it uses less digits than its factorization.

121006105436334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344313.

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 121006105436334 in words is "one hundred twenty-one trillion, six billion, one hundred five million, four hundred thirty-six thousand, three hundred thirty-four".

Divisors: 1 2 3 6 19 38 57 89 114 178 267 534 1691 3382 5073 10146 39089 78178 117267 234534 305111 610222 742691 915333 1485382 1830666 2228073 3478921 4456146 5797109 6957842 10436763 11594218 17391327 20873526 27154879 34782654 54309758 66099499 81464637 132198998 162929274 198298497 396596994 515942701 1031885402 1547828103 3095656206 11926483879 23852967758 35779451637 71558903274 226603193701 453206387402 679809581103 1061457065231 1359619162206 2122914130462 3184371195693 6368742391386 20167684239389 40335368478778 60503052718167 121006105436334