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101770570225 = 52638032
BaseRepresentation
bin101111011000111111…
…1111010100111110001
3100201200120021121222201
41132301333322213301
53131411231221400
6114430332303201
710231653400552
oct1366177724761
9321616247881
10101770570225
113a184919785
1217882911b01
13979b59722c
144cd6276329
1529a98cd06a
hex17b1ffa9f1

101770570225 has 9 divisors (see below), whose sum is σ = 126197485003. Its totient is φ = 81415180120.

The previous prime is 101770570199. The next prime is 101770570229. The reversal of 101770570225 is 522075077101.

The square root of 101770570225 is 319015.

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., 36637405281 + 65133164944 = 191409^2 + 255212^2 .

It is not a de Polignac number, because 101770570225 - 227 = 101636352497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101770570229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1563174 + ... + 1626976.

Almost surely, 2101770570225 is an apocalyptic number.

101770570225 is the 319015-th square number.

101770570225 is the 159508-th centered octagonal number.

It is an amenable number.

101770570225 is a deficient number, since it is larger than the sum of its proper divisors (24426914778).

101770570225 is an frugal number, since it uses more digits than its factorization.

101770570225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127616 (or 63808 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 37.

The spelling of 101770570225 in words is "one hundred one billion, seven hundred seventy million, five hundred seventy thousand, two hundred twenty-five".

Divisors: 1 5 25 63803 319015 1595075 4070822809 20354114045 101770570225