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1201002132 = 2231123735419
BaseRepresentation
bin100011110010101…
…1101011010010100
310002200220020012110
41013211131122110
54424424032012
6315101351020
741522230641
oct10745353224
93080806173
101201002132
11566a30750
12296268470
13161a85665
14b5710dc8
157068773c
hex4795d694

1201002132 has 96 divisors (see below), whose sum is σ = 3234309120. Its totient is φ = 343284480.

The previous prime is 1201002107. The next prime is 1201002163. The reversal of 1201002132 is 2312001021.

It is a super-2 number, since 2×12010021322 = 2884812242137090848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218919 + ... + 224337.

It is an arithmetic number, because the mean of its divisors is an integer number (33690720).

Almost surely, 21201002132 is an apocalyptic number.

1201002132 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 1201002132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617154560).

1201002132 is an abundant number, since it is smaller than the sum of its proper divisors (2033306988).

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

1201002132 is a wasteful number, since it uses less digits than its factorization.

1201002132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1201002132 is about 34655.4776622686. The cubic root of 1201002132 is about 1062.9542991414.

Adding to 1201002132 its reverse (2312001021), we get a palindrome (3513003153).

The spelling of 1201002132 in words is "one billion, two hundred one million, two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 73 92 132 138 146 219 253 276 292 438 506 759 803 876 1012 1518 1606 1679 2409 3036 3212 3358 4818 5037 5419 6716 9636 10074 10838 16257 18469 20148 21676 32514 36938 55407 59609 65028 73876 110814 119218 124637 178827 221628 238436 249274 357654 373911 395587 498548 715308 747822 791174 1186761 1371007 1495644 1582348 2373522 2742014 4113021 4351457 4747044 5484028 8226042 8702914 9098501 13054371 16452084 17405828 18197002 26108742 27295503 36394004 52217484 54591006 100083511 109182012 200167022 300250533 400334044 600501066 1201002132