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1012312012032 = 2832439371533
BaseRepresentation
bin11101011101100100111…
…11110111010100000000
310120202221202122102212200
432232302133313110000
5113041203333341112
62053014423353200
7133065015061566
oct16566237672400
93522852572780
101012312012032
11360356815852
121442392b2800
13745cac75769
1436dd3683a36
151b4ec5b9cdc
hexebb27f7500

1012312012032 has 54 divisors (see below), whose sum is σ = 2918745100362. Its totient is φ = 337437336576.

The previous prime is 1012312012003. The next prime is 1012312012037. The reversal of 1012312012032 is 2302102132101.

It can be written as a sum of positive squares in only one way, i.e., 662491812096 + 349820199936 = 813936^2 + 591456^2 .

It is a super-2 number, since 2×10123120120322 (a number of 25 digits) contains 22 as substring.

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 = 1012312011996 and 1012312012014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012312012037) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 219683463 + ... + 219688070.

Almost surely, 21012312012032 is an apocalyptic number.

1012312012032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012312012032 is an abundant number, since it is smaller than the sum of its proper divisors (1906433088330).

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

1012312012032 is an equidigital number, since it uses as much as digits as its factorization.

1012312012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439371555 (or 439371538 counting only the distinct ones).

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

Adding to 1012312012032 its reverse (2302102132101), we get a palindrome (3314414144133).

The spelling of 1012312012032 in words is "one trillion, twelve billion, three hundred twelve million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 439371533 878743066 1318114599 1757486132 2636229198 3514972264 3954343797 5272458396 7029944528 7908687594 10544916792 14059889056 15817375188 21089833584 28119778112 31634750376 42179667168 56239556224 63269500752 84359334336 112479112448 126539001504 168718668672 253078003008 337437337344 506156006016 1012312012032