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101052235232 = 2513769315883
BaseRepresentation
bin101111000011100101…
…1101011110111100000
3100122211111121102121222
41132013023223313200
53123423333011412
6114231152034212
710205111553464
oct1360713536740
9318744542558
10101052235232
1139946396aa3
1217702232968
1396b5808540
144c68ac84a4
1529667d8072
hex17872ebde0

101052235232 has 48 divisors (see below), whose sum is σ = 214529459760. Its totient is φ = 46578696192.

The previous prime is 101052235217. The next prime is 101052235259. The reversal of 101052235232 is 232532250101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 161963 + ... + 477845.

It is an arithmetic number, because the mean of its divisors is an integer number (4469363745).

Almost surely, 2101052235232 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 101052235232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107264729880).

101052235232 is an abundant number, since it is smaller than the sum of its proper divisors (113477224528).

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

101052235232 is a wasteful number, since it uses less digits than its factorization.

101052235232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316675 (or 316667 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 101052235232 its reverse (232532250101), we get a palindrome (333584485333).

The spelling of 101052235232 in words is "one hundred one billion, fifty-two million, two hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 769 1538 3076 6152 9997 12304 19994 24608 39988 79976 159952 315883 319904 631766 1263532 2527064 4106479 5054128 8212958 10108256 16425916 32851832 65703664 131407328 242914027 485828054 971656108 1943312216 3157882351 3886624432 6315764702 7773248864 12631529404 25263058808 50526117616 101052235232