Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
101423432032 = 2513131214207
BaseRepresentation
bin101111001110101001…
…1101100000101100000
3100200210101002011220121
41132131103230011200
53130203344311112
6114332052050024
710220236643056
oct1363523540540
9320711064817
10101423432032
113a01697970a
12177a6603914
1397446a3810
144ca21121d6
1529891ac407
hex179d4ec160

101423432032 has 72 divisors (see below), whose sum is σ = 216706468608. Its totient is φ = 46450210560.

The previous prime is 101423432009. The next prime is 101423432057. The reversal of 101423432032 is 230234324101.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 101423431988 and 101423432006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7131873 + ... + 7146079.

It is an arithmetic number, because the mean of its divisors is an integer number (3009812064).

Almost surely, 2101423432032 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 101423432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108353234304).

101423432032 is an abundant number, since it is smaller than the sum of its proper divisors (115283036576).

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

101423432032 is a wasteful number, since it uses less digits than its factorization.

101423432032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14492 (or 14353 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 101423432032 its reverse (230234324101), we get a palindrome (331657756133).

The spelling of 101423432032 in words is "one hundred one billion, four hundred twenty-three million, four hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 131 208 262 416 524 1048 1703 2096 3406 4192 6812 13624 14207 17161 27248 28414 34322 54496 56828 68644 113656 137288 184691 223093 227312 274576 369382 446186 454624 549152 738764 892372 1477528 1784744 1861117 2955056 3569488 3722234 5910112 7138976 7444468 14888936 24194521 29777872 48389042 59555744 96778084 193556168 243806327 387112336 487612654 774224672 975225308 1950450616 3169482251 3900901232 6338964502 7801802464 12677929004 25355858008 50711716016 101423432032