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1301201382 = 2313101331499
BaseRepresentation
bin100110110001110…
…1100000111100110
310100200102212201210
41031203230013212
510131101421012
6333041132250
744150013015
oct11543540746
93320385653
101301201382
11608548948
1230392a086
13179768a60
14c4b54a7c
157937b23c
hex4d8ec1e6

1301201382 has 64 divisors (see below), whose sum is σ = 2844576000. Its totient is φ = 394416000.

The previous prime is 1301201353. The next prime is 1301201383. The reversal of 1301201382 is 2831021031.

1301201382 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301201383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2607369 + ... + 2607867.

It is an arithmetic number, because the mean of its divisors is an integer number (44446500).

Almost surely, 21301201382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301201382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422288000).

1301201382 is an abundant number, since it is smaller than the sum of its proper divisors (1543374618).

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

1301201382 is a wasteful number, since it uses less digits than its factorization.

1301201382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1301201382 is about 36072.1690781134. The cubic root of 1301201382 is about 1091.7289794886.

The spelling of 1301201382 in words is "one billion, three hundred one million, two hundred one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 13 26 39 78 101 202 303 331 499 606 662 993 998 1313 1497 1986 2626 2994 3939 4303 6487 7878 8606 12909 12974 19461 25818 33431 38922 50399 66862 100293 100798 151197 165169 200586 302394 330338 434603 495507 655187 869206 991014 1303809 1310374 1965561 2147197 2607618 3931122 4294394 6441591 12883182 16682069 33364138 50046207 100092414 216866897 433733794 650600691 1301201382