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1351145601 = 321317679309
BaseRepresentation
bin101000010001000…
…1101100010000001
310111011102022022200
41100202031202001
510231343124401
6342023423413
745324356001
oct12042154201
93434368280
101351145601
11633760763
123185b4b69
13186c04950
14cb636001
157d944686
hex5088d881

1351145601 has 24 divisors (see below), whose sum is σ = 2225419560. Its totient is φ = 782562816.

The previous prime is 1351145599. The next prime is 1351145623. The reversal of 1351145601 is 1065411531.

1351145601 is a `hidden beast` number, since 1 + 3 + 5 + 11 + 45 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 288320400 + 1062825201 = 16980^2 + 32601^2 .

It is not a de Polignac number, because 1351145601 - 21 = 1351145599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1351145701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337666 + ... + 341643.

It is an arithmetic number, because the mean of its divisors is an integer number (92725815).

Almost surely, 21351145601 is an apocalyptic number.

It is an amenable number.

1351145601 is a deficient number, since it is larger than the sum of its proper divisors (874273959).

1351145601 is a wasteful number, since it uses less digits than its factorization.

1351145601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679345 (or 679342 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1351145601 is about 36757.9324908243. The cubic root of 1351145601 is about 1105.5219856604.

It can be divided in two parts, 135114 and 5601, that added together give a triangular number (140715 = T530).

The spelling of 1351145601 in words is "one billion, three hundred fifty-one million, one hundred forty-five thousand, six hundred one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 679309 2037927 6113781 8831017 11548253 26493051 34644759 79479153 103934277 150127289 450381867 1351145601