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101023445432 = 23721353374039
BaseRepresentation
bin101111000010101110…
…1110111000110111000
3100122202111102202110002
41132011131313012320
53123344000223212
6114224243012132
710204312055300
oct1360535670670
9318674382402
10101023445432
1139931112878
12176b466a048
1396ac868360
144c64d52600
152963eecac2
hex17857771b8

101023445432 has 96 divisors (see below), whose sum is σ = 241771975200. Its totient is φ = 39211151616.

The previous prime is 101023445429. The next prime is 101023445447. The reversal of 101023445432 is 234544320101.

101023445432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101023445395 and 101023445404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83069 + ... + 457107.

It is an arithmetic number, because the mean of its divisors is an integer number (2518458075).

Almost surely, 2101023445432 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 101023445432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120885987600).

101023445432 is an abundant number, since it is smaller than the sum of its proper divisors (140748529768).

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

101023445432 is a wasteful number, since it uses less digits than its factorization.

101023445432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374125 (or 374114 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 101023445432 its reverse (234544320101), we get a palindrome (335567765533).

The spelling of 101023445432 in words is "one hundred one billion, twenty-three million, four hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 53 56 91 98 104 106 182 196 212 364 371 392 424 637 689 728 742 1274 1378 1484 2548 2597 2756 2968 4823 5096 5194 5512 9646 10388 19292 20776 33761 38584 67522 135044 270088 374039 748078 1496156 2618273 2992312 4862507 5236546 9725014 10473092 18327911 19450028 19824067 20946184 34037549 36655822 38900056 39648134 68075098 73311644 79296268 136150196 138768469 146623288 158592536 238262843 257712871 272300392 277536938 476525686 515425742 555073876 953051372 971379283 1030851484 1110147752 1803990097 1906102744 1942758566 2061702968 3607980194 3885517132 7215960388 7771034264 12627930679 14431920776 25255861358 50511722716 101023445432