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134322010400 = 2552167902513
BaseRepresentation
bin111110100011000110…
…1110011100100100000
3110211201010120010022002
41331012031303210200
54200042413313100
6141412350503132
712463424151524
oct1750615634440
9424633503262
10134322010400
1151a69300556
1222048204aa8
13c88842c536
1467034c1d84
1537624e42d5
hex1f46373920

134322010400 has 36 divisors (see below), whose sum is σ = 327913609842. Its totient is φ = 53728803840.

The previous prime is 134322010379. The next prime is 134322010421. The reversal of 134322010400 is 4010223431.

It is an interprime number because it is at equal distance from previous prime (134322010379) and next prime (134322010421).

It can be written as a sum of positive squares in 3 ways, for example, as 60187790224 + 74134220176 = 245332^2 + 272276^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83950457 + ... + 83952056.

Almost surely, 2134322010400 is an apocalyptic number.

134322010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134322010400 is an abundant number, since it is smaller than the sum of its proper divisors (193591599442).

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

134322010400 is a wasteful number, since it uses less digits than its factorization.

134322010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167902533 (or 167902520 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 134322010400 its reverse (4010223431), we get a palindrome (138332233831).

The spelling of 134322010400 in words is "one hundred thirty-four billion, three hundred twenty-two million, ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 167902513 335805026 671610052 839512565 1343220104 1679025130 2686440208 3358050260 4197562825 5372880416 6716100520 8395125650 13432201040 16790251300 26864402080 33580502600 67161005200 134322010400