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1012113110322 = 232611372967141
BaseRepresentation
bin11101011101001101010…
…01000111010100110010
310120202102220101012000200
432232212221013110302
5113040301424012242
62052543000300030
7133060051330326
oct16564651072462
93522386335020
101012113110322
11360264512a76
121441a2771616
13745989b4342
1436db50a9986
151b4d9dcb04c
hexeba6a47532

1012113110322 has 48 divisors (see below), whose sum is σ = 2229056657880. Its totient is φ = 331811251200.

The previous prime is 1012113110293. The next prime is 1012113110347. The reversal of 1012113110322 is 2230113112101.

1012113110322 is a `hidden beast` number, since 10 + 1 + 21 + 1 + 311 + 0 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 737724670281 + 274388440041 = 858909^2 + 523821^2 .

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 = 1012113110295 and 1012113110304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15040872 + ... + 15108012.

Almost surely, 21012113110322 is an apocalyptic number.

1012113110322 is an abundant number, since it is smaller than the sum of its proper divisors (1216943547558).

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

1012113110322 is a wasteful number, since it uses less digits than its factorization.

1012113110322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80939 (or 80936 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1012113110322 its reverse (2230113112101), we get a palindrome (3242226222423).

The spelling of 1012113110322 in words is "one trillion, twelve billion, one hundred thirteen million, one hundred ten thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 13729 27458 41187 67141 82374 123561 134282 201423 247122 402846 604269 837469 1208538 1674938 2512407 4095601 5024814 7537221 8191202 12286803 15074442 24573606 36860409 73720818 921778789 1843557578 2765336367 5530672734 8296009101 16592018202 56228506129 112457012258 168685518387 337371036774 506056555161 1012113110322