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101022202112 = 2813123124659
BaseRepresentation
bin101111000010101100…
…1000111100100000000
3100122202102002120221012
41132011121013210000
53123343140431422
6114224200220052
710204265356406
oct1360531074400
9318672076835
10101022202112
1139930443737
12176b416a628
1396ac521470
144c64b0b476
152963d544e2
hex1785647900

101022202112 has 72 divisors (see below), whose sum is σ = 217346532480. Its totient is φ = 46585866240.

The previous prime is 101022202081. The next prime is 101022202121. The reversal of 101022202112 is 211202220101.

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, 4084439 + ... + 4109097.

It is an arithmetic number, because the mean of its divisors is an integer number (3018701840).

Almost surely, 2101022202112 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 101022202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108673266240).

101022202112 is an abundant number, since it is smaller than the sum of its proper divisors (116324330368).

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

101022202112 is a wasteful number, since it uses less digits than its factorization.

101022202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25919 (or 25905 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101022202112 its reverse (211202220101), we get a palindrome (312224422213).

The spelling of 101022202112 in words is "one hundred one billion, twenty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1231 1664 2462 3328 4924 9848 16003 19696 24659 32006 39392 49318 64012 78784 98636 128024 157568 197272 256048 315136 320567 394544 512096 641134 789088 1024192 1282268 1578176 2048384 2564536 3156352 4096768 5129072 6312704 10258144 20516288 30355229 41032576 60710458 82065152 121420916 242841832 394617977 485683664 789235954 971367328 1578471908 1942734656 3156943816 3885469312 6313887632 7770938624 12627775264 25255550528 50511101056 101022202112