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101021222104 = 231123293170347
BaseRepresentation
bin101111000010101010…
…1011000010011011000
3100122202100020210121121
41132011111120103120
53123342413101404
6114224123215024
710204254135265
oct1360525302330
9318670223547
10101021222104
113992a934410
12176b3977474
1396ac26a38a
144c6493426c
152963c0de54
hex17855584d8

101021222104 has 64 divisors (see below), whose sum is σ = 216355587840. Its totient is φ = 43772108160.

The previous prime is 101021222087. The next prime is 101021222147. The reversal of 101021222104 is 401222120101.

101021222104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507859 + ... + 678205.

It is an arithmetic number, because the mean of its divisors is an integer number (3380556060).

Almost surely, 2101021222104 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 101021222104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108177793920).

101021222104 is an abundant number, since it is smaller than the sum of its proper divisors (115334365736).

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

101021222104 is a wasteful number, since it uses less digits than its factorization.

101021222104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170680 (or 170676 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101021222104 its reverse (401222120101), we get a palindrome (502243342205).

The spelling of 101021222104 in words is "one hundred one billion, twenty-one million, two hundred twenty-two thousand, one hundred four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 293 506 586 1012 1172 2024 2344 3223 6446 6739 12892 13478 25784 26956 53912 74129 148258 170347 296516 340694 593032 681388 1362776 1873817 3747634 3917981 7495268 7835962 14990536 15671924 31343848 43097791 49911671 86195582 99823342 172391164 199646684 344782328 399293368 549028381 1098056762 1147968433 2196113524 2295936866 4392227048 4591873732 9183747464 12627652763 25255305526 50510611052 101021222104