Search a number
-
+
1010021312032 = 25731373156001
BaseRepresentation
bin11101011001010011111…
…01100010011000100000
310120120001010021211012221
432230221331202120200
5113022010423441112
62051555234000424
7132654161333125
oct16545175423040
93516033254187
101010021312032
1135a390776a57
121438ba116114
1374324508685
1436c5735674c
151b416433e07
hexeb29f62620

1010021312032 has 48 divisors (see below), whose sum is σ = 2030432822712. Its totient is φ = 494456832000.

The previous prime is 1010021311997. The next prime is 1010021312039. The reversal of 1010021312032 is 2302131200101.

It can be written as a sum of positive squares in 4 ways, for example, as 1001528583696 + 8492728336 = 1000764^2 + 92156^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1010021311997 and 1010021312015.

It is not an unprimeable number, because it can be changed into a prime (1010021312039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1257969 + ... + 1898032.

Almost surely, 21010021312032 is an apocalyptic number.

It is an amenable number.

1010021312032 is an abundant number, since it is smaller than the sum of its proper divisors (1020411510680).

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

1010021312032 is a wasteful number, since it uses less digits than its factorization.

1010021312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156221 (or 3156213 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1010021312032 its reverse (2302131200101), we get a palindrome (3312152512133).

The spelling of 1010021312032 in words is "one trillion, ten billion, twenty-one million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 73 137 146 274 292 548 584 1096 1168 2192 2336 4384 10001 20002 40004 80008 160016 320032 3156001 6312002 12624004 25248008 50496016 100992032 230388073 432372137 460776146 864744274 921552292 1729488548 1843104584 3458977096 3686209168 6917954192 7372418336 13835908384 31563166001 63126332002 126252664004 252505328008 505010656016 1010021312032