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101222131014 = 232234710614903
BaseRepresentation
bin101111001000101001…
…1110010010101000110
3100200021100022000211100
41132101103302111012
53124300331143024
6114300101320530
710212243626454
oct1362123622506
9320240260740
10101222131014
1139a23288234
121774b106146
139711a822a4
144c834b19d4
1529766977c9
hex17914f2546

101222131014 has 96 divisors (see below), whose sum is σ = 233987180544. Its totient is φ = 31550840640.

The previous prime is 101222130959. The next prime is 101222131091. The reversal of 101222131014 is 410131222101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20642487 + ... + 20647389.

It is an arithmetic number, because the mean of its divisors is an integer number (2437366464).

Almost surely, 2101222131014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101222131014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116993590272).

101222131014 is an abundant number, since it is smaller than the sum of its proper divisors (132765049530).

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

101222131014 is a wasteful number, since it uses less digits than its factorization.

101222131014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6042 (or 6039 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101222131014 its reverse (410131222101), we get a palindrome (511353353115).

The spelling of 101222131014 in words is "one hundred one billion, two hundred twenty-two million, one hundred thirty-one thousand, fourteen".

Divisors: 1 2 3 6 9 18 23 46 47 69 94 138 141 207 282 414 423 846 1061 1081 2122 2162 3183 3243 4903 6366 6486 9549 9729 9806 14709 19098 19458 24403 29418 44127 48806 49867 73209 88254 99734 112769 146418 149601 219627 225538 230441 299202 338307 439254 448803 460882 676614 691323 897606 1014921 1146941 1382646 2029842 2073969 2293882 3440823 4147938 5202083 5300143 6881646 10322469 10404166 10600286 15606249 15900429 20644938 31212498 31800858 46818747 47701287 93637494 95402574 119647909 239295818 244497901 358943727 488995802 717887454 733493703 1076831181 1466987406 2153662362 2200481109 4400962218 5623451723 11246903446 16870355169 33740710338 50611065507 101222131014