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34232403142100 = 22523144491248201
BaseRepresentation
bin1111100100010010110100…
…01110101010010111010100
311111012120211000220022111202
413302021122032222113110
513441330430201021400
6200450052055052032
710132131601456352
oct762113216522724
9144176730808452
1034232403142100
11a9a89761560a9
123a0a576671018
131614142767ac7
14864c000527d2
153e56e3cc94d5
hex1f225a3aa5d4

34232403142100 has 72 divisors (see below), whose sum is σ = 76682615498496. Its totient is φ = 13250901600000.

The previous prime is 34232403142061. The next prime is 34232403142109. The reversal of 34232403142100 is 124130423243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34232403142109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 137798000 + ... + 138046200.

It is an arithmetic number, because the mean of its divisors is an integer number (1065036326368).

Almost surely, 234232403142100 is an apocalyptic number.

It is an amenable number.

34232403142100 is an abundant number, since it is smaller than the sum of its proper divisors (42450212356396).

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

34232403142100 is a wasteful number, since it uses less digits than its factorization.

34232403142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292737 (or 292730 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 34232403142100 its reverse (124130423243), we get a palindrome (34356533565343).

The spelling of 34232403142100 in words is "thirty-four trillion, two hundred thirty-two billion, four hundred three million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 44491 88982 177964 222455 248201 444910 496402 889820 992804 1112275 1241005 1379221 2224550 2482010 2758442 4449100 4964020 5516884 6205025 6896105 7694231 12410050 13792210 15388462 24820100 27584420 30776924 34480525 38471155 68961050 76942310 137922100 153884620 192355775 384711550 769423100 11042710691 22085421382 44170842764 55213553455 110427106910 220854213820 276067767275 342324031421 552135534550 684648062842 1104271069100 1369296125684 1711620157105 3423240314210 6846480628420 8558100785525 17116201571050 34232403142100