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213142201040 = 2452664277513
BaseRepresentation
bin1100011010000001000…
…0111110001011010000
3202101011020122200010002
43012200100332023100
511443003400413130
6241525521025132
721253601546636
oct3064020761320
9671136580102
10213142201040
118243624137a
1235384a851a8
1317139cbbcb2
14a45d6a5356
155827114b45
hex31a043e2d0

213142201040 has 20 divisors (see below), whose sum is σ = 495555617604. Its totient is φ = 85256880384.

The previous prime is 213142201031. The next prime is 213142201109. The reversal of 213142201040 is 40102241312.

It can be written as a sum of positive squares in 2 ways, for example, as 55142310976 + 157999890064 = 234824^2 + 397492^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1332138677 + ... + 1332138836.

Almost surely, 2213142201040 is an apocalyptic number.

213142201040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213142201040 is an abundant number, since it is smaller than the sum of its proper divisors (282413416564).

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

213142201040 is a wasteful number, since it uses less digits than its factorization.

213142201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664277526 (or 2664277520 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 213142201040 its reverse (40102241312), we get a palindrome (253244442352).

The spelling of 213142201040 in words is "two hundred thirteen billion, one hundred forty-two million, two hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2664277513 5328555026 10657110052 13321387565 21314220104 26642775130 42628440208 53285550260 106571100520 213142201040