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1002131412 = 22383510951
BaseRepresentation
bin111011101110110…
…100111111010100
32120211200112212020
4323232310333110
54023021201122
6243235053140
733555655632
oct7356647724
92524615766
101002131412
1147474a187
1223b7411b0
1312c805389
1497144352
155cea2c5c
hex3bbb4fd4

1002131412 has 12 divisors (see below), whose sum is σ = 2338306656. Its totient is φ = 334043800.

The previous prime is 1002131407. The next prime is 1002131423. The reversal of 1002131412 is 2141312001.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×10021314122 = 2008534733834227488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002131391 and 1002131400.

It is a congruent number.

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, 41755464 + ... + 41755487.

It is an arithmetic number, because the mean of its divisors is an integer number (194858888).

Almost surely, 21002131412 is an apocalyptic number.

1002131412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002131412 is an abundant number, since it is smaller than the sum of its proper divisors (1336175244).

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

1002131412 is a wasteful number, since it uses less digits than its factorization.

1002131412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83510958 (or 83510956 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1002131412 is about 31656.4592461002. The cubic root of 1002131412 is about 1000.7099664950.

Adding to 1002131412 its reverse (2141312001), we get a palindrome (3143443413).

The spelling of 1002131412 in words is "one billion, two million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 83510951 167021902 250532853 334043804 501065706 1002131412