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1310001330 = 2351113928559
BaseRepresentation
bin100111000010101…
…0000100010110010
310101021222221222210
41032011100202302
510140330020310
6333553512550
744314553601
oct11605204262
93337887883
101310001330
11612509430
12306872756
1317b52a321
14c5da5a38
157a018820
hex4e1508b2

1310001330 has 64 divisors (see below), whose sum is σ = 3454617600. Its totient is φ = 315280320.

The previous prime is 1310001289. The next prime is 1310001347. The reversal of 1310001330 is 331000131.

It is a super-2 number, since 2×13100013302 = 3432206969203537800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31591 + ... + 60149.

It is an arithmetic number, because the mean of its divisors is an integer number (53978400).

Almost surely, 21310001330 is an apocalyptic number.

1310001330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727308800).

1310001330 is an abundant number, since it is smaller than the sum of its proper divisors (2144616270).

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

1310001330 is a wasteful number, since it uses less digits than its factorization.

1310001330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28719.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1310001330 is about 36193.9405149536. The cubic root of 1310001330 is about 1094.1845516598.

Adding to 1310001330 its reverse (331000131), we get a palindrome (1641001461).

The spelling of 1310001330 in words is "one billion, three hundred ten million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 139 165 278 330 417 695 834 1390 1529 2085 3058 4170 4587 7645 9174 15290 22935 28559 45870 57118 85677 142795 171354 285590 314149 428385 628298 856770 942447 1570745 1884894 3141490 3969701 4712235 7939402 9424470 11909103 19848505 23818206 39697010 43666711 59545515 87333422 119091030 131000133 218333555 262000266 436667110 655000665 1310001330