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1332331020 = 22325311132113
BaseRepresentation
bin100111101101001…
…1100001000001100
310102212000102120100
41033122130020030
510212034043040
6340112251100
745005424666
oct11732341014
93385012510
101332331020
11624080019
12312240a90
13183047c67
14c8d39536
157be79b30
hex4f69c20c

1332331020 has 144 divisors (see below), whose sum is σ = 4210682112. Its totient is φ = 340623360.

The previous prime is 1332331003. The next prime is 1332331027. The reversal of 1332331020 is 201332331.

1332331020 is a `hidden beast` number, since 1 + 332 + 3 + 310 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1332330984 and 1332331002.

It is not an unprimeable number, because it can be changed into a prime (1332331027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629484 + ... + 631596.

It is an arithmetic number, because the mean of its divisors is an integer number (29240848).

Almost surely, 21332331020 is an apocalyptic number.

1332331020 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 1332331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105341056).

1332331020 is an abundant number, since it is smaller than the sum of its proper divisors (2878351092).

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

1332331020 is a wasteful number, since it uses less digits than its factorization.

1332331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1332331020 is about 36501.1098461403. The cubic root of 1332331020 is about 1100.3665500183.

Adding to 1332331020 its reverse (201332331), we get a palindrome (1533663351).

The spelling of 1332331020 in words is "one billion, three hundred thirty-two million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 113 124 155 180 186 226 279 310 339 372 452 465 558 565 620 678 930 1017 1116 1130 1356 1395 1695 1860 2034 2113 2260 2790 3390 3503 4068 4226 5085 5580 6339 6780 7006 8452 10170 10509 10565 12678 14012 17515 19017 20340 21018 21130 25356 31527 31695 35030 38034 42036 42260 52545 63054 63390 65503 70060 76068 95085 105090 126108 126780 131006 157635 190170 196509 210180 238769 262012 315270 327515 380340 393018 477538 589527 630540 655030 716307 786036 955076 982545 1179054 1193845 1310060 1432614 1965090 2148921 2358108 2387690 2865228 2947635 3581535 3930180 4297842 4775380 5895270 7163070 7401839 8595684 10744605 11790540 14326140 14803678 21489210 22205517 29607356 37009195 42978420 44411034 66616551 74018390 88822068 111027585 133233102 148036780 222055170 266466204 333082755 444110340 666165510 1332331020