Search a number
-
+
105301232616 = 233157163171449
BaseRepresentation
bin110001000010001110…
…0010100101111101000
3101001210121211212021110
41202010130110233220
53211124103420431
6120212534510320
710415314465116
oct1420434245750
9331717755243
10105301232616
1140726889688
12184a92053a0
139c11bab188
14514d136ab6
152b14845346
hex1884714be8

105301232616 has 64 divisors (see below), whose sum is σ = 266556744000. Its totient is φ = 34662670848.

The previous prime is 105301232609. The next prime is 105301232633. The reversal of 105301232616 is 616232103501.

It is a super-2 number, since 2×1053012326162 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528460 + ... + 699908.

It is an arithmetic number, because the mean of its divisors is an integer number (4164949125).

Almost surely, 2105301232616 is an apocalyptic number.

It is an amenable number.

105301232616 is an abundant number, since it is smaller than the sum of its proper divisors (161255511384).

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

105301232616 is a wasteful number, since it uses less digits than its factorization.

105301232616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171778 (or 171774 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 105301232616 in words is "one hundred five billion, three hundred one million, two hundred thirty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 157 163 314 326 471 489 628 652 942 978 1256 1304 1884 1956 3768 3912 25591 51182 76773 102364 153546 171449 204728 307092 342898 514347 614184 685796 1028694 1371592 2057388 4114776 26917493 27946187 53834986 55892374 80752479 83838561 107669972 111784748 161504958 167677122 215339944 223569496 323009916 335354244 646019832 670708488 4387551359 8775102718 13162654077 17550205436 26325308154 35100410872 52650616308 105301232616