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104013340431 = 371113371376833
BaseRepresentation
bin110000011011110101…
…1011001111100001111
3100221110212110011022220
41200313223121330033
53201004403343211
6115441050510423
710341355543320
oct1406753317417
9327425404286
10104013340431
1140125901180
12181a9a35413
139a681222b0
14506a088447
152a8b747806
hex1837ad9f0f

104013340431 has 128 divisors (see below), whose sum is σ = 192662378496. Its totient is φ = 48167239680.

The previous prime is 104013340411. The next prime is 104013340493. The reversal of 104013340431 is 134043310401.

It is not a de Polignac number, because 104013340431 - 210 = 104013339407 is a prime.

It is a super-2 number, since 2×1040133404312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104013340411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15218791 + ... + 15225623.

It is an arithmetic number, because the mean of its divisors is an integer number (1505174832).

Almost surely, 2104013340431 is an apocalyptic number.

104013340431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

104013340431 is a deficient number, since it is larger than the sum of its proper divisors (88649038065).

104013340431 is a wasteful number, since it uses less digits than its factorization.

104013340431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7041.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 104013340431 its reverse (134043310401), we get a palindrome (238056650832).

It can be divided in two parts, 104013 and 340431, that added together give a palindrome (444444).

The spelling of 104013340431 in words is "one hundred four billion, thirteen million, three hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 137 143 231 259 273 407 411 429 481 777 959 1001 1221 1443 1507 1781 2849 2877 3003 3367 4521 5069 5291 5343 6833 8547 10101 10549 12467 15207 15873 19591 20499 31647 35483 37037 37401 47831 55759 58773 65897 75163 88829 106449 111111 137137 143493 167277 197691 225489 252821 266487 390313 411411 461279 526141 621803 724867 758463 936121 977119 1170939 1383837 1578423 1769747 1865409 2174601 2781031 2808363 2931357 3286673 5074069 5309241 6552847 6839833 8343093 9860019 10297331 12169573 15222207 19467217 19658541 20519499 23006711 30891993 34636477 36153403 36508719 58401651 69020133 72081317 85187011 103909431 108460209 133865303 216243951 242455339 253073821 255561033 381001247 401595909 450274201 727366017 759221463 937057121 1143003741 1350822603 2667008729 2811171363 3151919407 4953016211 8001026187 9455758221 14859048633 34671113477 104013340431