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1014121013022 = 2321352370111821
BaseRepresentation
bin11101100000111100101…
…00101001111100011110
310120221121211121012201100
432300132110221330132
5113103404434404042
62053514124453530
7133160602245135
oct16603624517436
93527554535640
101014121013022
113610a4967a97
121446630aa2a6
1374828997750
1437125a2091c
151b5a630024c
hexec1e529f1e

1014121013022 has 96 divisors (see below), whose sum is σ = 2374389684576. Its totient is φ = 310970016000.

The previous prime is 1014121012939. The next prime is 1014121013027. The reversal of 1014121013022 is 2203101214101.

1014121013022 is a `hidden beast` number, since 10 + 141 + 210 + 1 + 302 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1014121012986 and 1014121013004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014121013027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85783872 + ... + 85795692.

It is an arithmetic number, because the mean of its divisors is an integer number (24733225881).

Almost surely, 21014121013022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014121013022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187194842288).

1014121013022 is an abundant number, since it is smaller than the sum of its proper divisors (1360268671554).

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

1014121013022 is a wasteful number, since it uses less digits than its factorization.

1014121013022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13066 (or 13063 counting only the distinct ones).

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

Adding to 1014121013022 its reverse (2203101214101), we get a palindrome (3217222227123).

The spelling of 1014121013022 in words is "one trillion, fourteen billion, one hundred twenty-one million, thirteen thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 523 701 1046 1402 1569 2103 3138 4206 4707 6309 6799 9113 9414 11821 12618 13598 18226 20397 23642 27339 35463 40794 54678 61191 70926 82017 106389 122382 153673 164034 212778 307346 366623 461019 733246 922038 1099869 1383057 2199738 2766114 3299607 4766099 6182383 6599214 8286521 9532198 12364766 14298297 16573042 18547149 24859563 28596594 37094298 42894891 49719126 55641447 74578689 80370979 85789782 107724773 111282894 149157378 160741958 215449546 241112937 323174319 482225874 646348638 723338811 969522957 1446677622 1939045914 4333850483 8667700966 13001551449 26003102898 39004654347 56340056279 78009308694 112680112558 169020168837 338040337674 507060506511 1014121013022