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104134100432 = 24192234631693
BaseRepresentation
bin110000011111011100…
…0000100010111010000
3100221210021200101220112
41200332320010113100
53201231312203212
6115501043100452
710344353151305
oct1407670042720
9327707611815
10104134100432
1140187a91a2a
1218222371728
139a8715410b
14507c1210ac
152a9714d422
hex183ee045d0

104134100432 has 120 divisors (see below), whose sum is σ = 222807239424. Its totient is φ = 47052327168.

The previous prime is 104134100393. The next prime is 104134100437. The reversal of 104134100432 is 234001431401.

104134100432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 104134100398 and 104134100407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104134100437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61507778 + ... + 61509470.

Almost surely, 2104134100432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104134100432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111403619712).

104134100432 is an abundant number, since it is smaller than the sum of its proper divisors (118673138992).

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

104134100432 is a wasteful number, since it uses less digits than its factorization.

104134100432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 104134100432 its reverse (234001431401), we get a palindrome (338135531833).

The spelling of 104134100432 in words is "one hundred four billion, one hundred thirty-four million, one hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 361 368 437 463 722 874 926 1444 1693 1748 1852 2888 3386 3496 3704 5776 6772 6992 7408 8303 8797 10649 13544 16606 17594 21298 27088 32167 33212 35188 38939 42596 64334 66424 70376 77878 85192 128668 132848 140752 155756 167143 170384 202331 257336 311512 334286 404662 514672 611173 623024 668572 739841 783859 809324 1222346 1337144 1479682 1567718 1618648 2444692 2674288 2959364 3135436 3237296 3844289 4889384 5918728 6270872 7688578 9778768 11837456 12541744 14056979 14893321 15377156 18028757 28113958 29786642 30754312 36057514 56227916 59573284 61508624 72115028 112455832 119146568 144230056 224911664 238293136 282973099 288460112 342546383 565946198 685092766 1131892396 1370185532 2263784792 2740371064 4527569584 5480742128 6508381277 13016762554 26033525108 52067050216 104134100432