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101123221212 = 2232132910173771
BaseRepresentation
bin101111000101101101…
…0011110011011011100
3100200000110011220002100
41132023122132123130
53124100021034322
6114242205325100
710206633124626
oct1361332363334
9320013156070
10101123221212
11399824708a2
1217721b66790
1396c7430a90
144c742c5c16
15296cb5adac
hex178b69e6dc

101123221212 has 144 divisors (see below), whose sum is σ = 287595715680. Its totient is φ = 29744064000.

The previous prime is 101123221187. The next prime is 101123221237. The reversal of 101123221212 is 212122321101.

It is an interprime number because it is at equal distance from previous prime (101123221187) and next prime (101123221237).

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, 1333887 + ... + 1407657.

It is an arithmetic number, because the mean of its divisors is an integer number (1997192470).

Almost surely, 2101123221212 is an apocalyptic number.

101123221212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101123221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143797857840).

101123221212 is an abundant number, since it is smaller than the sum of its proper divisors (186472494468).

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

101123221212 is a wasteful number, since it uses less digits than its factorization.

101123221212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73924 (or 73919 counting only the distinct ones).

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

Adding to 101123221212 its reverse (212122321101), we get a palindrome (313245542313).

The spelling of 101123221212 in words is "one hundred one billion, one hundred twenty-three million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 101 116 117 156 174 202 234 261 303 348 377 404 468 522 606 754 909 1044 1131 1212 1313 1508 1818 2262 2626 2929 3393 3636 3939 4524 5252 5858 6786 7878 8787 11716 11817 13572 15756 17574 23634 26361 35148 38077 47268 52722 73771 76154 105444 114231 147542 152308 221313 228462 295084 342693 442626 456924 663939 685386 885252 959023 1327878 1370772 1918046 2139359 2655756 2877069 3836092 4278718 5754138 6418077 7450871 8557436 8631207 11508276 12836154 14901742 17262414 19254231 22352613 25672308 27811667 29803484 34524828 38508462 44705226 55623334 67057839 77016924 83435001 89410452 96861323 111246668 134115678 166870002 193722646 216075259 250305003 268231356 290583969 333740004 387445292 432150518 500610006 581167938 648225777 864301036 871751907 1001220012 1162335876 1296451554 1743503814 1944677331 2592903108 2808978367 3487007628 3889354662 5617956734 7778709324 8426935101 11235913468 16853870202 25280805303 33707740404 50561610606 101123221212