Search a number
-
+
101101110984 = 2334213773009
BaseRepresentation
bin101111000101000011…
…0001000011011001000
3100122221220120120120000
41132022012020123020
53124023341022414
6114240055403000
710206244156416
oct1361206103310
9318856516500
10101101110984
1139970a3a085
1217716683460
1396c298bcc3
144c713ac2b6
15296ac3eb09
hex178a1886c8

101101110984 has 80 divisors (see below), whose sum is σ = 283313114700. Its totient is φ = 33684139008.

The previous prime is 101101110967. The next prime is 101101110989. The reversal of 101101110984 is 489011101101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 81242100900 + 19859010084 = 285030^2 + 140922^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101101110989) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1348272 + ... + 1421280.

Almost surely, 2101101110984 is an apocalyptic number.

It is an amenable number.

101101110984 is an abundant number, since it is smaller than the sum of its proper divisors (182212003716).

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

101101110984 is a wasteful number, since it uses less digits than its factorization.

101101110984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75164 (or 75151 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 27.

The spelling of 101101110984 in words is "one hundred one billion, one hundred one million, one hundred ten thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 2137 4274 6411 8548 12822 17096 19233 25644 38466 51288 57699 73009 76932 115398 146018 153864 173097 219027 230796 292036 346194 438054 461592 584072 657081 692388 876108 1314162 1384776 1752216 1971243 2628324 3942486 5256648 5913729 7884972 11827458 15769944 23654916 47309832 156020233 312040466 468060699 624080932 936121398 1248161864 1404182097 1872242796 2808364194 3744485592 4212546291 5616728388 8425092582 11233456776 12637638873 16850185164 25275277746 33700370328 50550555492 101101110984