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134022443001300 = 223252799312142121
BaseRepresentation
bin11110011110010010001000…
…000110110110010111010100
3122120112102100111011120201100
4132132102020012312113110
5120031310430402020200
61153013021011230100
740141542035113350
oct3636221006662724
9576472314146640
10134022443001300
1139781665130957
1213046544ba8330
1359a2353c1bb39
142514a14038460
1510763709dbd00
hex79e4881b65d4

134022443001300 has 216 divisors, whose sum is σ = 480146741127872. Its totient is φ = 30630602304000.

The previous prime is 134022443001289. The next prime is 134022443001371. The reversal of 134022443001300 is 3100344220431.

134022443001300 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 224 + 4 + 300 + 130 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61494240 + ... + 63636360.

Almost surely, 2134022443001300 is an apocalyptic number.

134022443001300 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 134022443001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240073370563936).

134022443001300 is an abundant number, since it is smaller than the sum of its proper divisors (346124298126572).

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

134022443001300 is a wasteful number, since it uses less digits than its factorization.

134022443001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152079 (or 2152069 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 134022443001300 its reverse (3100344220431), we get a palindrome (137122787221731).

The spelling of 134022443001300 in words is "one hundred thirty-four trillion, twenty-two billion, four hundred forty-three million, one thousand, three hundred".