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125487268452100 = 225211202112
BaseRepresentation
bin11100100010000101001000…
…000011110101011100000100
3121110022110120111110020012001
4130202011020003311130010
5112421440411210431400
61122520015535235044
735301104331354352
oct3442051003653404
9543273514406161
10125487268452100
1136a9094065a855
12120a8334378a84
135503524a703b9
1422db88abd07d2
15e79329dd4a6a
hex7221480f5704

125487268452100 has 27 divisors (see below), whose sum is σ = 272307615627061. Its totient is φ = 50194862572400.

The previous prime is 125487268452083. The next prime is 125487268452121. The reversal of 125487268452100 is 1254862784521.

The square root of 125487268452100 is 11202110.

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., 45175416642756 + 80311851809344 = 6721266^2 + 8961688^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 111460995 + ... + 112581205.

Almost surely, 2125487268452100 is an apocalyptic number.

125487268452100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125487268452100 is the 11202110-th square number.

It is an amenable number.

125487268452100 is an abundant number, since it is smaller than the sum of its proper divisors (146820347174961).

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

125487268452100 is an frugal number, since it uses more digits than its factorization.

125487268452100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240436 (or 1120218 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 55.

The spelling of 125487268452100 in words is "one hundred twenty-five trillion, four hundred eighty-seven billion, two hundred sixty-eight million, four hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1120211 2240422 4480844 5601055 11202110 22404220 28005275 56010550 112021100 1254872684521 2509745369042 5019490738084 6274363422605 12548726845210 25097453690420 31371817113025 62743634226050 125487268452100