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1012120002102 = 2311611181212867
BaseRepresentation
bin11101011101001110000…
…11011001111000110110
310120202110101100022202210
432232213003121320312
5113040310210031402
62052543404114250
7133060164033066
oct16564703317066
93522411308683
101012120002102
1136026839a960
121441a4b35986
137459a258211
1436db5d813a6
151b4da7dd06c
hexeba70d9e36

1012120002102 has 64 divisors (see below), whose sum is σ = 2246373865728. Its totient is φ = 301418256000.

The previous prime is 1012120002079. The next prime is 1012120002139. The reversal of 1012120002102 is 2012000212101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4648273 + ... + 4861139.

It is an arithmetic number, because the mean of its divisors is an integer number (35099591652).

Almost surely, 21012120002102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012120002102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123186932864).

1012120002102 is an abundant number, since it is smaller than the sum of its proper divisors (1234253863626).

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

1012120002102 is a wasteful number, since it uses less digits than its factorization.

1012120002102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214125.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1012120002102 its reverse (2012000212101), we get a palindrome (3024120214203).

The spelling of 1012120002102 in words is "one trillion, twelve billion, one hundred twenty million, two thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 366 671 1181 1342 2013 2362 3543 4026 7086 12991 25982 38973 72041 77946 144082 212867 216123 425734 432246 638601 792451 1277202 1584902 2341537 2377353 4683074 4754706 7024611 12984887 14049222 25969774 38954661 77909322 142833757 251395927 285667514 428501271 502791854 754187781 857002542 1508375562 2765355197 5530710394 8296065591 15335151547 16592131182 30670303094 46005454641 92010909282 168686667017 337373334034 506060001051 1012120002102