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1311100032330 = 2325113142720757
BaseRepresentation
bin10011000101000011101…
…001101101010101001010
311122100011211000112000200
4103011003221231111022
5132440113102013310
62442151103513030
7163503165252564
oct23050351552512
94570154015020
101311100032330
11466041873830
121921248b8776
13968369771ca
1447659858334
15241886739c0
hex13143a6d54a

1311100032330 has 96 divisors (see below), whose sum is σ = 3838716430848. Its totient is φ = 307589443200.

The previous prime is 1311100032311. The next prime is 1311100032349. The reversal of 1311100032330 is 332300011131.

It is a happy number.

1311100032330 is a `hidden beast` number, since 1 + 311 + 1 + 0 + 0 + 0 + 323 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (1311100032311) and next prime (1311100032349).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21329689 + ... + 21391068.

It is an arithmetic number, because the mean of its divisors is an integer number (39986629488).

Almost surely, 21311100032330 is an apocalyptic number.

1311100032330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311100032330 is an abundant number, since it is smaller than the sum of its proper divisors (2527616398518).

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

1311100032330 is a wasteful number, since it uses less digits than its factorization.

1311100032330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42720812 (or 42720809 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1311100032330 its reverse (332300011131), we get a palindrome (1643400043461).

The spelling of 1311100032330 in words is "one trillion, three hundred eleven billion, one hundred million, thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 31 33 45 55 62 66 90 93 99 110 155 165 186 198 279 310 330 341 465 495 558 682 930 990 1023 1395 1705 2046 2790 3069 3410 5115 6138 10230 15345 30690 42720757 85441514 128162271 213603785 256324542 384486813 427207570 469928327 640811355 768973626 939856654 1281622710 1324343467 1409784981 1922434065 2349641635 2648686934 2819569962 3844868130 3973030401 4229354943 4699283270 6621717335 7048924905 7946060802 8458709886 11919091203 13243434670 14097849810 14567778137 19865152005 21146774715 23838182406 29135556274 39730304010 42293549430 43703334411 59595456015 72838890685 87406668822 119190912030 131110003233 145677781370 218516672055 262220006466 437033344110 655550016165 1311100032330