Search a number
-
+
101301504352 = 2537839101977
BaseRepresentation
bin101111001011000001…
…0100100100101100000
3100200110212122121120121
41132112002210211200
53124431141114402
6114312014450024
710214226402556
oct1362602444540
9320425577517
10101301504352
1139a64070634
1217771803914
139725353369
144c8dc53bd6
15297d625837
hex17960a4960

101301504352 has 48 divisors (see below), whose sum is σ = 205073678880. Its totient is φ = 49222591488.

The previous prime is 101301504329. The next prime is 101301504397. The reversal of 101301504352 is 253405103101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 942388 + ... + 1044364.

It is an arithmetic number, because the mean of its divisors is an integer number (4272368310).

Almost surely, 2101301504352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101301504352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102536839440).

101301504352 is an abundant number, since it is smaller than the sum of its proper divisors (103772174528).

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

101301504352 is a wasteful number, since it uses less digits than its factorization.

101301504352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102863 (or 102855 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 101301504352 its reverse (253405103101), we get a palindrome (354706607453).

The spelling of 101301504352 in words is "one hundred one billion, three hundred one million, five hundred four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 839 1184 1678 3356 6712 13424 26848 31043 62086 101977 124172 203954 248344 407908 496688 815816 993376 1631632 3263264 3773149 7546298 15092596 30185192 60370384 85558703 120740768 171117406 342234812 684469624 1368939248 2737878496 3165672011 6331344022 12662688044 25325376088 50650752176 101301504352