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104012510420 = 225713313182587
BaseRepresentation
bin110000011011110100…
…0001111010011010100
3100221110210212222202202
41200313220033103110
53201004200313140
6115441021024032
710341345515420
oct1406750172324
9327423788682
10104012510420
1140125394615
12181a96b5018
139a67bc1570
145069d0db80
152a8b631915
hex1837a0f4d4

104012510420 has 96 divisors (see below), whose sum is σ = 269692700928. Its totient is φ = 32812895232.

The previous prime is 104012510417. The next prime is 104012510431. The reversal of 104012510420 is 24015210401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 104012510392 and 104012510401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478367 + ... + 660953.

It is an arithmetic number, because the mean of its divisors is an integer number (2809298968).

Almost surely, 2104012510420 is an apocalyptic number.

104012510420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104012510420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134846350464).

104012510420 is an abundant number, since it is smaller than the sum of its proper divisors (165680190508).

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

104012510420 is a wasteful number, since it uses less digits than its factorization.

104012510420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182929 (or 182927 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 104012510420 its reverse (24015210401), we get a palindrome (128027720821).

The spelling of 104012510420 in words is "one hundred four billion, twelve million, five hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 313 364 455 626 910 1252 1565 1820 2191 3130 4069 4382 6260 8138 8764 10955 16276 20345 21910 28483 40690 43820 56966 81380 113932 142415 182587 284830 365174 569660 730348 912935 1278109 1825870 2373631 2556218 3651740 4747262 5112436 6390545 9494524 11868155 12781090 16615417 23736310 25562180 33230834 47472620 57149731 66461668 83077085 114299462 166154170 228598924 285748655 332308340 400048117 571497310 742946503 800096234 1142994620 1485893006 1600192468 2000240585 2971786012 3714732515 4000481170 5200625521 7429465030 8000962340 10401251042 14858930060 20802502084 26003127605 52006255210 104012510420