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1331000132 = 2272111274861
BaseRepresentation
bin100111101010101…
…0111001101000100
310102202111210221012
41033111113031010
510211214001012
6340023541352
744661212600
oct11725271504
93382453835
101331000132
11623351110
123118ba858
131829a0257
14c8ab0500
157bcb5622
hex4f557344

1331000132 has 72 divisors (see below), whose sum is σ = 2979744768. Its totient is φ = 514382400.

The previous prime is 1331000107. The next prime is 1331000189. The reversal of 1331000132 is 2310001331.

It is a super-2 number, since 2×13310001322 = 3543122702768034848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271382 + ... + 276242.

It is an arithmetic number, because the mean of its divisors is an integer number (41385344).

Almost surely, 21331000132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489872384).

1331000132 is an abundant number, since it is smaller than the sum of its proper divisors (1648744636).

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

1331000132 is a wasteful number, since it uses less digits than its factorization.

1331000132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5017 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1331000132 is about 36482.8745029774. The cubic root of 1331000132 is about 1100.0000363636. Note that the first 4 decimals are identical.

Adding to 1331000132 its reverse (2310001331), we get a palindrome (3641001463).

It can be divided in two parts, 1 and 331000132, that added together give a palindrome (331000133).

The spelling of 1331000132 in words is "one billion, three hundred thirty-one million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 127 154 196 254 308 508 539 889 1078 1397 1778 2156 2794 3556 4861 5588 6223 9722 9779 12446 19444 19558 24892 34027 39116 53471 68054 68453 106942 136108 136906 213884 238189 273812 374297 476378 617347 748594 952756 1234694 1497188 2469388 2620079 4321429 5240158 6790817 8642858 10480316 13581634 17285716 27163268 30250003 47535719 60500006 95071438 121000012 190142876 332750033 665500066 1331000132