Search a number
-
+
1012122413211 = 37132337846247
BaseRepresentation
bin11101011101001110011…
…00100110100010011011
310120202110112212211012010
432232213030212202123
5113040311314210321
62052543531521003
7133060223364420
oct16564714464233
93522415784163
101012122413211
11360269797408
121441a58b9163
137459a8c0800
1436db640bd47
151b4dab17676
hexeba732689b

1012122413211 has 48 divisors (see below), whose sum is σ = 1675002361344. Its totient is φ = 532281964032.

The previous prime is 1012122413161. The next prime is 1012122413219. The reversal of 1012122413211 is 1123142212101.

It is not a de Polignac number, because 1012122413211 - 26 = 1012122413147 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1012122413219) 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, 772890 + ... + 1619136.

It is an arithmetic number, because the mean of its divisors is an integer number (34895882528).

Almost surely, 21012122413211 is an apocalyptic number.

1012122413211 is a deficient number, since it is larger than the sum of its proper divisors (662879948133).

1012122413211 is a wasteful number, since it uses less digits than its factorization.

1012122413211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846620 (or 846607 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 1012122413211 its reverse (1123142212101), we get a palindrome (2135264625312).

The spelling of 1012122413211 in words is "one trillion, twelve billion, one hundred twenty-two million, four hundred thirteen thousand, two hundred eleven".

Divisors: 1 3 7 13 21 39 91 169 273 337 507 1011 1183 2359 3549 4381 7077 13143 30667 56953 92001 170859 398671 846247 1196013 2538741 5923729 11001211 17771187 33003633 77008477 143015743 231025431 285185239 429047229 855555717 1001110201 1996296673 3003330603 3707408107 5988890019 11122224321 25951856749 48196305391 77855570247 144588916173 337374137737 1012122413211