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1332131000 = 23534132491
BaseRepresentation
bin100111101100110…
…1011010010111000
310102211122021012012
41033121223102320
510212011143000
6340104105052
745003632564
oct11731532270
93384567165
101332131000
11623a53812
12312165188
13182ca7bc5
14c8cc66a4
157be3a735
hex4f66b4b8

1332131000 has 64 divisors (see below), whose sum is σ = 3193313760. Its totient is φ = 519840000.

The previous prime is 1332130981. The next prime is 1332131057. The reversal of 1332131000 is 1312331.

It is a super-2 number, since 2×13321310002 = 3549146002322000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24755 + ... + 57245.

Almost surely, 21332131000 is an apocalyptic number.

1332131000 is a gapful number since it is divisible by the number (10) 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 1332131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596656880).

1332131000 is an abundant number, since it is smaller than the sum of its proper divisors (1861182760).

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

1332131000 is a wasteful number, since it uses less digits than its factorization.

1332131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32553 (or 32539 counting only the distinct ones).

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

The square root of 1332131000 is about 36498.3698266101. The cubic root of 1332131000 is about 1100.3114820386.

Adding to 1332131000 its reverse (1312331), we get a palindrome (1333443331).

The spelling of 1332131000 in words is "one billion, three hundred thirty-two million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1640 2050 4100 5125 8200 10250 20500 32491 41000 64982 129964 162455 259928 324910 649820 812275 1299640 1332131 1624550 2664262 3249100 4061375 5328524 6498200 6660655 8122750 10657048 13321310 16245500 26642620 32491000 33303275 53285240 66606550 133213100 166516375 266426200 333032750 666065500 1332131000