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104223311334 = 23343163509541
BaseRepresentation
bin110000100010000110…
…0011000010111100110
3100222000111112210021000
41201010030120113212
53201422131430314
6115513551134130
710346515346352
oct1410414302746
9328014483230
10104223311334
114022338444a
1218248214346
139a9c78ab2c
145089d04462
152a9edc1209
hex18443185e6

104223311334 has 128 divisors (see below), whose sum is σ = 239357606400. Its totient is φ = 33596519040.

The previous prime is 104223311333. The next prime is 104223311351. The reversal of 104223311334 is 433113322401.

It is a happy number.

104223311334 is a `hidden beast` number, since 10 + 4 + 2 + 2 + 3 + 311 + 334 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 104223311298 and 104223311307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104223311333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192649104 + ... + 192649644.

It is an arithmetic number, because the mean of its divisors is an integer number (1869981300).

Almost surely, 2104223311334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104223311334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119678803200).

104223311334 is an abundant number, since it is smaller than the sum of its proper divisors (135134295066).

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

104223311334 is a wasteful number, since it uses less digits than its factorization.

104223311334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 104223311334 its reverse (433113322401), we get a palindrome (537336633735).

The spelling of 104223311334 in words is "one hundred four billion, two hundred twenty-three million, three hundred eleven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 163 258 326 387 489 509 541 774 978 1018 1082 1161 1467 1527 1623 2322 2934 3054 3246 4401 4581 4869 7009 8802 9162 9738 13743 14018 14607 21027 21887 23263 27486 29214 42054 43774 46526 63081 65661 69789 82967 88183 126162 131322 139578 165934 176366 189243 196983 209367 248901 264549 275369 378486 393966 418734 497802 529098 550738 590949 628101 746703 793647 826107 1181898 1256202 1493406 1587294 1652214 2240109 2380941 2478321 3567581 3791869 4480218 4761882 4956642 7135162 7434963 7583738 10702743 11375607 11840867 14869926 21405486 22751214 23681734 32108229 34126821 35522601 44885147 64216458 68253642 71045202 89770294 96324687 102380463 106567803 134655441 192649374 204760926 213135606 269310882 319703409 403966323 639406818 807932646 1211898969 1930061321 2423797938 3860122642 5790183963 11580367926 17370551889 34741103778 52111655667 104223311334