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1011121212132 = 2232173162350869
BaseRepresentation
bin11101011011010111000…
…01010100101011100100
310120122212202221112111200
432231223201110223210
5113031234012242012
62052300324402500
7133023345332013
oct16555341245344
93518782845450
101011121212132
1135a8a56231a9
12143b66546430
137446b352a35
1436d1d46aa7a
151b47cc9a3dc
hexeb6b854ae4

1011121212132 has 36 divisors (see below), whose sum is σ = 2570663675580. Its totient is φ = 335092191552.

The previous prime is 1011121212109. The next prime is 1011121212133. The reversal of 1011121212132 is 2312121211101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 901709773056 + 109411439076 = 949584^2 + 330774^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10111212121322 (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 not an unprimeable number, because it can be changed into a prime (1011121212133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81169207 + ... + 81181662.

Almost surely, 21011121212132 is an apocalyptic number.

1011121212132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011121212132 is an abundant number, since it is smaller than the sum of its proper divisors (1559542463448).

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

1011121212132 is a wasteful number, since it uses less digits than its factorization.

1011121212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162351052 (or 162351047 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1011121212132 its reverse (2312121211101), we get a palindrome (3323242423233).

The spelling of 1011121212132 in words is "one trillion, eleven billion, one hundred twenty-one million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 6228 162350869 324701738 487052607 649403476 974105214 1461157821 1948210428 2922315642 5844631284 28086700337 56173400674 84260101011 112346801348 168520202022 252780303033 337040404044 505560606066 1011121212132