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1323003001014 = 23217101397107827
BaseRepresentation
bin10011010000001001000…
…111111011100010110110
311200110220100112222102200
4103100021013323202312
5133134002232013024
62451440145445330
7164404150650312
oct23201107734266
94613810488380
101323003001014
1147009a781332
121944a7040846
13979b2997546
1448068618b42
15246336292c9
hex134091fb8b6

1323003001014 has 96 divisors (see below), whose sum is σ = 3072924612576. Its totient is φ = 409911321600.

The previous prime is 1323003000989. The next prime is 1323003001027. The reversal of 1323003001014 is 4101003003231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12215769 + ... + 12323595.

It is an arithmetic number, because the mean of its divisors is an integer number (32009631381).

Almost surely, 21323003001014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323003001014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536462306288).

1323003001014 is an abundant number, since it is smaller than the sum of its proper divisors (1749921611562).

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

1323003001014 is a wasteful number, since it uses less digits than its factorization.

1323003001014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108350 (or 108347 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1323003001014 its reverse (4101003003231), we get a palindrome (5424006004245).

The spelling of 1323003001014 in words is "one trillion, three hundred twenty-three billion, three million, one thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 153 202 303 306 397 606 794 909 1191 1717 1818 2382 3434 3573 5151 6749 7146 10302 13498 15453 20247 30906 40097 40494 60741 80194 107827 120291 121482 215654 240582 323481 360873 646962 681649 721746 970443 1363298 1833059 1940886 2044947 3666118 4089894 5499177 6134841 10890527 10998354 12269682 16497531 21781054 32671581 32995062 42807319 65343162 85614638 98014743 128421957 185138959 196029486 256843914 370277918 385265871 555416877 727724423 770531742 1110833754 1455448846 1666250631 2183173269 3332501262 4323539219 4366346538 6549519807 8647078438 12970617657 13099039614 25941235314 38911852971 73500166723 77823705942 147000333446 220500500169 441001000338 661501500507 1323003001014