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1371201186289 = 1121064532
BaseRepresentation
bin10011111101000001111…
…101011010100111110001
311212002022100221110220211
4103331001331122213301
5134431210000430124
62525530544104121
7201031433530024
oct23750175324761
94762270843824
101371201186289
11489583360300
121a18b8605041
139c3c43601bc
144a51b91d1bb
1525a04c07e94
hex13f41f5a9f1

1371201186289 has 9 divisors (see below), whose sum is σ = 1507202239179. Its totient is φ = 1246534823160.

The previous prime is 1371201186247. The next prime is 1371201186337. The reversal of 1371201186289 is 9826811021731.

The square root of 1371201186289 is 1170983.

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., 1110378525025 + 260822661264 = 1053745^2 + 510708^2 .

It is not a de Polignac number, because 1371201186289 - 27 = 1371201186161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1371201196289) 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, 12827587 + ... + 12934039.

Almost surely, 21371201186289 is an apocalyptic number.

1371201186289 is the 1170983-rd square number.

1371201186289 is the 585492-nd centered octagonal number.

It is an amenable number.

1371201186289 is a deficient number, since it is larger than the sum of its proper divisors (136001052890).

1371201186289 is an frugal number, since it uses more digits than its factorization.

1371201186289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212928 (or 106464 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 49.

Multiplying 1371201186289 by its sum of digits (49), we get a square (67188858128161 = 81968812).

The spelling of 1371201186289 in words is "one trillion, three hundred seventy-one billion, two hundred one million, one hundred eighty-six thousand, two hundred eighty-nine".

Divisors: 1 11 121 106453 1170983 12880813 11332241209 124654653299 1371201186289