Search a number
-
+
100060551600 = 243521721792251
BaseRepresentation
bin101110100110000010…
…0101101100110110000
3100120021101120200102120
41131030010231212300
53114411000122400
6113544524514240
710141410440532
oct1351404554660
9316241520376
10100060551600
1139487633449
12174860ab980
1395882207a9
144bb3103852
1529096eaca0
hex174c12d9b0

100060551600 has 240 divisors, whose sum is σ = 339688437120. Its totient is φ = 25090560000.

The previous prime is 100060551589. The next prime is 100060551601. The reversal of 100060551600 is 6155060001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1000605516002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100060551601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44450475 + ... + 44452725.

It is an arithmetic number, because the mean of its divisors is an integer number (1415368488).

Almost surely, 2100060551600 is an apocalyptic number.

100060551600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100060551600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169844218560).

100060551600 is an abundant number, since it is smaller than the sum of its proper divisors (239627885520).

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

100060551600 is a wasteful number, since it uses less digits than its factorization.

100060551600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 100060551600 in words is "one hundred billion, sixty million, five hundred fifty-one thousand, six hundred".