Search a number
-
+
114532340001233 = 71123127720397723
BaseRepresentation
bin11010000010101010100011…
…011100001110100111010001
3120000112011222200212110220012
4122002222203130032213101
5110002444213020014413
61043331233003324305
733060455104054250
oct3202524334164721
9500464880773805
10114532340001233
1133547990095900
1210a19174b20695
134bba47931c15b
14203d5755d0797
15d393b059d7a8
hex682aa370e9d1

114532340001233 has 96 divisors (see below), whose sum is σ = 149145046794240. Its totient is φ = 86001940252800.

The previous prime is 114532340001221. The next prime is 114532340001251. The reversal of 114532340001233 is 332100043235411.

It is not a de Polignac number, because 114532340001233 - 228 = 114532071565777 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114532340001233.

It is not an unprimeable number, because it can be changed into a prime (114532340000233) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14830028510 + ... + 14830036232.

It is an arithmetic number, because the mean of its divisors is an integer number (1553594237440).

Almost surely, 2114532340001233 is an apocalyptic number.

It is an amenable number.

114532340001233 is a deficient number, since it is larger than the sum of its proper divisors (34612706793007).

114532340001233 is a wasteful number, since it uses less digits than its factorization.

114532340001233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10099 (or 10088 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 114532340001233 its reverse (332100043235411), we get a palindrome (446632383236644).

The spelling of 114532340001233 in words is "one hundred fourteen trillion, five hundred thirty-two billion, three hundred forty million, one thousand, two hundred thirty-three".

Divisors: 1 7 11 31 77 121 217 277 341 847 1939 2039 2387 3047 3751 7723 8587 14273 21329 22429 26257 33517 54061 60109 63209 84953 94457 157003 234619 239413 246719 442463 564803 594671 661199 695299 934483 1039027 1675891 1727033 2139271 2633543 3953621 4867093 6212833 6541381 7273189 7648289 14974897 15747197 17508893 18434801 23531981 28968973 43489831 53538023 66317401 68341163 110230379 122562251 164723867 173219167 192597823 202782811 258851791 464221807 478388141 488163107 729491411 1212534169 1348184761 1811962537 1905410837 2118576053 3417141749 4361973569 5106439877 5369794177 8024405521 13337875859 14830032371 30533814983 37588559239 47981709259 56170838647 59067735947 135221180639 335871964813 413474151629 527798801849 946548264473 1487432987029 3694591612943 10412030909203 16361762857319 114532340001233