Search a number
-
+
101212200011104 = 2571367518760251
BaseRepresentation
bin10111000000110101001101…
…001110101000010101100000
3111021100210101020111102021021
4113000311031032220111200
5101231230041200323404
6555132124235535224
730214224445213630
oct2700651516502540
9437323336442237
10101212200011104
112a281942345176
12b427728bba514
134462367154820
141adc9a77406c0
15ba7b65588454
hex5c0d4d3a8560

101212200011104 has 96 divisors (see below), whose sum is σ = 248905318991616. Its totient is φ = 39442379328000.

The previous prime is 101212200011101. The next prime is 101212200011147. The reversal of 101212200011104 is 401110002212101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212200011101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259185022 + ... + 259575229.

It is an arithmetic number, because the mean of its divisors is an integer number (2592763739496).

Almost surely, 2101212200011104 is an apocalyptic number.

101212200011104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101212200011104 is an abundant number, since it is smaller than the sum of its proper divisors (147693118980512).

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

101212200011104 is a wasteful number, since it uses less digits than its factorization.

101212200011104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518760348 (or 518760340 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101212200011104 its reverse (401110002212101), we get a palindrome (502322202223205).

The spelling of 101212200011104 in words is "one hundred one trillion, two hundred twelve billion, two hundred million, eleven thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 67 91 104 112 134 182 208 224 268 364 416 469 536 728 871 938 1072 1456 1742 1876 2144 2912 3484 3752 6097 6968 7504 12194 13936 15008 24388 27872 48776 97552 195104 518760251 1037520502 2075041004 3631321757 4150082008 6743883263 7262643514 8300164016 13487766526 14525287028 16600328032 26975533052 29050574056 34756936817 47207182841 53951066104 58101148112 69513873634 94414365682 107902132208 116202296224 139027747268 188828731364 215804264416 243298557719 278055494536 377657462728 451840178621 486597115438 556110989072 755314925456 903680357242 973194230876 1112221978144 1510629850912 1807360714484 1946388461752 3162881250347 3614721428968 3892776923504 6325762500694 7229442857936 7785553847008 12651525001388 14458885715872 25303050002776 50606100005552 101212200011104