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1332131010 = 235773113769
BaseRepresentation
bin100111101100110…
…1011010011000010
310102211122021012120
41033121223103002
510212011143020
6340104105110
745003632610
oct11731532302
93384567176
101332131010
11623a53821
12312165196
13182ca7c02
14c8cc66b0
157be3a740
hex4f66b4c2

1332131010 has 128 divisors (see below), whose sum is σ = 3741534720. Its totient is φ = 297271296.

The previous prime is 1332130981. The next prime is 1332131057. The reversal of 1332131010 is 101312331.

1332131010 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1731906 + ... + 1732674.

It is an arithmetic number, because the mean of its divisors is an integer number (29230740).

Almost surely, 21332131010 is an apocalyptic number.

1332131010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332131010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870767360).

1332131010 is an abundant number, since it is smaller than the sum of its proper divisors (2409403710).

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

1332131010 is a wasteful number, since it uses less digits than its factorization.

1332131010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1332131010 is about 36498.3699636025. The cubic root of 1332131010 is about 1100.3114847919.

Adding to 1332131010 its reverse (101312331), we get a palindrome (1433443341).

The spelling of 1332131010 in words is "one billion, three hundred thirty-two million, one hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 73 105 113 146 210 219 226 339 365 438 511 565 678 730 769 791 1022 1095 1130 1533 1538 1582 1695 2190 2307 2373 2555 3066 3390 3845 3955 4614 4746 5110 5383 7665 7690 7910 8249 10766 11535 11865 15330 16149 16498 23070 23730 24747 26915 32298 41245 49494 53830 56137 57743 80745 82490 86897 112274 115486 123735 161490 168411 173229 173794 247470 260691 280685 288715 336822 346458 392959 434485 521382 561370 577430 608279 785918 842055 866145 868970 1178877 1216558 1303455 1684110 1732290 1824837 1964795 2357754 2606910 3041395 3649674 3929590 5894385 6082790 6343481 9124185 11788770 12686962 18248370 19030443 31717405 38060886 44404367 63434810 88808734 95152215 133213101 190304430 222021835 266426202 444043670 666065505 1332131010