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134233142100 = 22352479520081
BaseRepresentation
bin111110100000011101…
…0110011001101010100
3110211110221100010220120
41331000322303031110
54144402141021400
6141355454031540
712461264611341
oct1750072631524
9424427303816
10134233142100
1151a23122482
12220224a85b0
13c872bb5745
1466d578b7c8
1537597dcca0
hex1f40eb3354

134233142100 has 72 divisors (see below), whose sum is σ = 396644696448. Its totient is φ = 35033894400.

The previous prime is 134233142089. The next prime is 134233142143. The reversal of 134233142100 is 1241332431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 4745941 + ... + 4774140.

Almost surely, 2134233142100 is an apocalyptic number.

134233142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134233142100 is an abundant number, since it is smaller than the sum of its proper divisors (262411554348).

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

134233142100 is a wasteful number, since it uses less digits than its factorization.

134233142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9520145 (or 9520138 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 134233142100 its reverse (1241332431), we get a palindrome (135474474531).

The spelling of 134233142100 in words is "one hundred thirty-four billion, two hundred thirty-three million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 7050 14100 9520081 19040162 28560243 38080324 47600405 57120486 95200810 114240972 142801215 190401620 238002025 285602430 447443807 476004050 571204860 714006075 894887614 952008100 1342331421 1428012150 1789775228 2237219035 2684662842 2856024300 4474438070 5369325684 6711657105 8948876140 11186095175 13423314210 22372190350 26846628420 33558285525 44744380700 67116571050 134233142100