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1341002000 = 24531351577
BaseRepresentation
bin100111111101110…
…0001000100010000
310110110022221220202
41033323201010100
510221244031000
6341022154332
745142220552
oct11773410420
93413287822
101341002000
11628a62718
123151229a8
13184a92910
14ca1554d2
157cadddd5
hex4fee1110

1341002000 has 80 divisors (see below), whose sum is σ = 3492036912. Its totient is φ = 495129600.

The previous prime is 1341001957. The next prime is 1341002059. The reversal of 1341002000 is 2001431.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 672676096 + 668325904 = 25936^2 + 25852^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212 + ... + 51788.

Almost surely, 21341002000 is an apocalyptic number.

1341002000 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 1341002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746018456).

1341002000 is an abundant number, since it is smaller than the sum of its proper divisors (2151034912).

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

1341002000 is a wasteful number, since it uses less digits than its factorization.

1341002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51613 (or 51597 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1341002000 is about 36619.6941549216. The cubic root of 1341002000 is about 1102.7484986856.

Adding to 1341002000 its reverse (2001431), we get a palindrome (1343003431).

The spelling of 1341002000 in words is "one billion, three hundred forty-one million, two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 51577 103154 206308 257885 412616 515770 670501 825232 1031540 1289425 1341002 2063080 2578850 2682004 3352505 4126160 5157700 5364008 6447125 6705010 10315400 10728016 12894250 13410020 16762525 20630800 25788500 26820040 33525050 51577000 53640080 67050100 83812625 103154000 134100200 167625250 268200400 335250500 670501000 1341002000