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1002111210112 = 2741190951069
BaseRepresentation
bin11101001010100100111…
…10111001001010000000
310112210121212001000022011
432211102132321022000
5112404310432210422
62044210305022304
7132254151512365
oct16452236711200
93483555030264
101002111210112
11356aa1720341
12142271024994
13736637accac
14367069b046c
151b101c95077
hexe9527b9280

1002111210112 has 32 divisors (see below), whose sum is σ = 2045085959700. Its totient is φ = 488834734080.

The previous prime is 1002111209947. The next prime is 1002111210137. The reversal of 1002111210112 is 2110121112001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 995317494336 + 6793715776 = 997656^2 + 82424^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10021112101122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002111210092 and 1002111210101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95470287 + ... + 95480782.

Almost surely, 21002111210112 is an apocalyptic number.

It is an amenable number.

1002111210112 is an abundant number, since it is smaller than the sum of its proper divisors (1042974749588).

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

1002111210112 is an equidigital number, since it uses as much as digits as its factorization.

1002111210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190951124 (or 190951112 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1002111210112 its reverse (2110121112001), we get a palindrome (3112232322113).

The spelling of 1002111210112 in words is "one trillion, two billion, one hundred eleven million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 190951069 381902138 763804276 1527608552 3055217104 6110434208 7828993829 12220868416 15657987658 24441736832 31315975316 62631950632 125263901264 250527802528 501055605056 1002111210112