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1131034141212 = 2232347831576691
BaseRepresentation
bin10000011101010110111…
…000110110001000011100
311000010101201021111011020
4100131112320312020130
5122012324220004322
62223331230524140
7144500036401233
oct20352670661034
94003351244136
101131034141212
113a673a317688
12163251066650
138286b4a2441
143ca56dc9b1a
151e64a2a205c
hex10756e3621c

1131034141212 has 192 divisors, whose sum is σ = 2864856121344. Its totient is φ = 346421687040.

The previous prime is 1131034141121. The next prime is 1131034141213. The reversal of 1131034141212 is 2121414301311.

It is a super-3 number, since 3×11310341412123 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131034141213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169034787 + ... + 169041477.

It is an arithmetic number, because the mean of its divisors is an integer number (14921125632).

Almost surely, 21131034141212 is an apocalyptic number.

1131034141212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131034141212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432428060672).

1131034141212 is an abundant number, since it is smaller than the sum of its proper divisors (1733821980132).

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

1131034141212 is a wasteful number, since it uses less digits than its factorization.

1131034141212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7008 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 1131034141212 its reverse (2121414301311), we get a palindrome (3252448442523).

The spelling of 1131034141212 in words is "one trillion, one hundred thirty-one billion, thirty-four million, one hundred forty-one thousand, two hundred twelve".