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1341020000 = 2554193529
BaseRepresentation
bin100111111101110…
…0101011101100000
310110110100212121102
41033323211131200
510221300120000
6341022413532
745142324205
oct11773453540
93413325542
101341020000
11628a751a1
123151312a8
13184a9ab78
14ca15bcac
157cae43d5
hex4fee5760

1341020000 has 120 divisors (see below), whose sum is σ = 3473731800. Its totient is φ = 508032000.

The previous prime is 1341019997. The next prime is 1341020003. The reversal of 1341020000 is 201431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1341019997) and next prime (1341020003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341020003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 378236 + ... + 381764.

It is an arithmetic number, because the mean of its divisors is an integer number (28947765).

Almost surely, 21341020000 is an apocalyptic number.

1341020000 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 1341020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736865900).

1341020000 is an abundant number, since it is smaller than the sum of its proper divisors (2132711800).

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

1341020000 is an equidigital number, since it uses as much as digits as its factorization.

1341020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 3555 counting only the distinct ones).

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

The square root of 1341020000 is about 36619.9399234898. The cubic root of 1341020000 is about 1102.7534326539.

Adding to 1341020000 its reverse (201431), we get a palindrome (1341221431).

The spelling of 1341020000 in words is "one billion, three hundred forty-one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 625 760 800 950 1000 1250 1520 1900 2000 2375 2500 3040 3529 3800 4000 4750 5000 7058 7600 9500 10000 11875 14116 15200 17645 19000 20000 23750 28232 35290 38000 47500 56464 67051 70580 76000 88225 95000 112928 134102 141160 176450 190000 268204 282320 335255 352900 380000 441125 536408 564640 670510 705800 882250 1072816 1341020 1411600 1676275 1764500 2145632 2205625 2682040 2823200 3352550 3529000 4411250 5364080 6705100 7058000 8381375 8822500 10728160 13410200 14116000 16762750 17645000 26820400 33525500 35290000 41906875 53640800 67051000 70580000 83813750 134102000 167627500 268204000 335255000 670510000 1341020000