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1012031212032 = 2932219624829
BaseRepresentation
bin11101011101000011100…
…00101100101000000000
310120202020012021022200200
432232201300230220000
5113040114442241112
62052530513045200
7133055035236651
oct16564160545000
93522205238620
101012031212032
11360222265635
1214417b256800
1374584a3ac09
1436da826b528
151b4d2aeecdc
hexeba1c2ca00

1012031212032 has 60 divisors (see below), whose sum is σ = 2920790614170. Its totient is φ = 337343735808.

The previous prime is 1012031212019. The next prime is 1012031212109. The reversal of 1012031212032 is 2302121302101.

It can be written as a sum of positive squares in only one way, i.e., 555466127616 + 456565084416 = 745296^2 + 675696^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1012031211996 and 1012031212014.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 109807807 + ... + 109817022.

Almost surely, 21012031212032 is an apocalyptic number.

1012031212032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012031212032 is an abundant number, since it is smaller than the sum of its proper divisors (1908759402138).

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

1012031212032 is an equidigital number, since it uses as much as digits as its factorization.

1012031212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219624853 (or 219624834 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1012031212032 its reverse (2302121302101), we get a palindrome (3314152514133).

The spelling of 1012031212032 in words is "one trillion, twelve billion, thirty-one million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 219624829 439249658 658874487 878499316 1317748974 1756998632 1976623461 2635497948 3513997264 3953246922 5270995896 7027994528 7906493844 10541991792 14055989056 15812987688 21083983584 28111978112 31625975376 42167967168 56223956224 63251950752 84335934336 112447912448 126503901504 168671868672 253007803008 337343737344 506015606016 1012031212032