Search a number
-
+
1311423324162 = 237378315536547
BaseRepresentation
bin10011000101010110111…
…010111110000000000010
311122101000100100110001020
4103011112322332000002
5132441243332333122
62442243133050310
7163514202221430
oct23052672760002
94571010313036
101311423324162
11466198306766
121921b5026996
139688893b853
144768a771d50
15241a6c33c5c
hex13156ebe002

1311423324162 has 128 divisors (see below), whose sum is σ = 3118127007744. Its totient is φ = 359886302208.

The previous prime is 1311423324137. The next prime is 1311423324209. The reversal of 1311423324162 is 2614233241131.

It is a super-2 number, since 2×13114233241622 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200305773 + ... + 200312319.

It is an arithmetic number, because the mean of its divisors is an integer number (24360367248).

Almost surely, 21311423324162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311423324162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559063503872).

1311423324162 is an abundant number, since it is smaller than the sum of its proper divisors (1806703683582).

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

1311423324162 is a wasteful number, since it uses less digits than its factorization.

1311423324162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8232.

The product of its digits is 20736, while the sum is 33.

Adding to 1311423324162 its reverse (2614233241131), we get a palindrome (3925656565293).

The spelling of 1311423324162 in words is "one trillion, three hundred eleven billion, four hundred twenty-three million, three hundred twenty-four thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 83 111 166 222 249 259 498 518 581 777 1162 1553 1554 1743 3071 3106 3486 4659 6142 6547 9213 9318 10871 13094 18426 19641 21497 21742 32613 39282 42994 45829 57461 64491 65226 91658 114922 128899 128982 137487 172383 242239 257798 274974 344766 386697 402227 484478 543401 726717 773394 804454 902293 1086802 1206681 1453434 1630203 1695673 1804586 2413362 2706879 3260406 3391346 3803807 4769263 5087019 5413758 7607614 9538526 10167491 10174038 11411421 14307789 20105837 20334982 22822842 28615578 30502473 33384841 40211674 60317511 61004946 66769682 71172437 100154523 120635022 140740859 142344874 200309046 213517311 281481718 376197167 422222577 427034622 752394334 843901753 844445154 1128591501 1687803506 2257183002 2531705259 2633380169 5063410518 5266760338 5907312271 7900140507 11814624542 15800281014 17721936813 31224364861 35443873626 62448729722 93673094583 187346189166 218570554027 437141108054 655711662081 1311423324162