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127342422852100 = 2252547220632
BaseRepresentation
bin11100111101000100110111…
…111000010000001000000100
3121200212211001101202012211021
4130331010313320100020010
5113142334240222231400
61130500145040320524
735552120643522421
oct3475046770201004
9550784041665737
10127342422852100
11376366889874a5
1212347993913144
135609453893741
1423635986a2d48
15eac706a8771a
hex73d137e10204

127342422852100 has 81 divisors (see below), whose sum is σ = 276973417961877. Its totient is φ = 50819202950880.

The previous prime is 127342422851971. The next prime is 127342422852137. The reversal of 127342422852100 is 1258224243721.

The square root of 127342422852100 is 11284610.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 45843272226756 + 81499150625344 = 6770766^2 + 9027688^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61726815669 + ... + 61726817731.

Almost surely, 2127342422852100 is an apocalyptic number.

127342422852100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127342422852100 is the 11284610-th square number.

It is an amenable number.

127342422852100 is an abundant number, since it is smaller than the sum of its proper divisors (149630995109777).

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

127342422852100 is an frugal number, since it uses more digits than its factorization.

127342422852100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5234 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 43.

The spelling of 127342422852100 in words is "one hundred twenty-seven trillion, three hundred forty-two billion, four hundred twenty-two million, eight hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 547 1094 2063 2188 2735 4126 5470 8252 10315 10940 13675 20630 27350 41260 51575 54700 103150 206300 299209 598418 1128461 1196836 1496045 2256922 2992090 4255969 4513844 5642305 5984180 7480225 8511938 11284610 14960450 17023876 21279845 22569220 28211525 29920900 42559690 56423050 85119380 106399225 112846100 212798450 425596900 617268167 1234536334 2328015043 2469072668 3086340835 4656030086 6172681670 9312060172 11640075215 12345363340 15431704175 23280150430 30863408350 46560300860 58200376075 61726816700 116400752150 232801504300 1273424228521 2546848457042 5093696914084 6367121142605 12734242285210 25468484570420 31835605713025 63671211426050 127342422852100