Search a number
-
+
101052365220 = 223252412329469
BaseRepresentation
bin101111000011100110…
…0001011100110100100
3100122211111212000221100
41132013030023212210
53123423401141340
6114231154520100
710205112634452
oct1360714134644
9318744760840
10101052365220
1139946475724
1217702296030
1396b5852761
144c68b1d9d2
152966811830
hex178730b9a4

101052365220 has 72 divisors (see below), whose sum is σ = 307797530040. Its totient is φ = 26835471360.

The previous prime is 101052365159. The next prime is 101052365221. The reversal of 101052365220 is 22563250101.

It is a happy number.

101052365220 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 5 + 2 + 3 + 652 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52598670336 + 48453694884 = 229344^2 + 220122^2 .

It is not an unprimeable number, because it can be changed into a prime (101052365221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1121355 + ... + 1208114.

It is an arithmetic number, because the mean of its divisors is an integer number (4274965695).

Almost surely, 2101052365220 is an apocalyptic number.

101052365220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101052365220 is an abundant number, since it is smaller than the sum of its proper divisors (206745164820).

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

101052365220 is a wasteful number, since it uses less digits than its factorization.

101052365220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329725 (or 2329720 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 101052365220 in words is "one hundred one billion, fifty-two million, three hundred sixty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 241 482 723 964 1205 1446 2169 2410 2892 3615 4338 4820 7230 8676 10845 14460 21690 43380 2329469 4658938 6988407 9317876 11647345 13976814 20965221 23294690 27953628 34942035 41930442 46589380 69884070 83860884 104826105 139768140 209652210 419304420 561402029 1122804058 1684206087 2245608116 2807010145 3368412174 5052618261 5614020290 6736824348 8421030435 10105236522 11228040580 16842060870 20210473044 25263091305 33684121740 50526182610 101052365220