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1341020100 = 223527638581
BaseRepresentation
bin100111111101110…
…0101011111000100
310110110100212202010
41033323211133010
510221300120400
6341022414220
745142324410
oct11773453704
93413325663
101341020100
11628a75282
12315131370
13184a9ac24
14ca15bd40
157cae4450
hex4fee57c4

1341020100 has 72 divisors (see below), whose sum is σ = 4434313408. Its totient is φ = 306518400.

The previous prime is 1341020099. The next prime is 1341020101. The reversal of 1341020100 is 10201431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1341020099) and next prime (1341020101).

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

It is not an unprimeable number, because it can be changed into a prime (1341020101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317191 + ... + 321390.

Almost surely, 21341020100 is an apocalyptic number.

1341020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1341020100 is an abundant number, since it is smaller than the sum of its proper divisors (3093293308).

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

1341020100 is a wasteful number, since it uses less digits than its factorization.

1341020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638605 (or 638598 counting only the distinct ones).

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

The square root of 1341020100 is about 36619.9412888661. The cubic root of 1341020100 is about 1102.7534600647.

Adding to 1341020100 its reverse (10201431), we get a palindrome (1351221531).

The spelling of 1341020100 in words is "one billion, three hundred forty-one million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 638581 1277162 1915743 2554324 3192905 3831486 4470067 6385810 7662972 8940134 9578715 12771620 13410201 15964525 17880268 19157430 22350335 26820402 31929050 38314860 44700670 47893575 53640804 63858100 67051005 89401340 95787150 111751675 134102010 191574300 223503350 268204020 335255025 447006700 670510050 1341020100