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104312102421033 = 3413863422927143
BaseRepresentation
bin10111101101111100001101…
…110011111000001000101001
3111200100010202202202221120000
4113231330031303320020221
5102133022141204433113
61005504152430453213
730654205066022253
oct2755741563701051
9450303682687500
10104312102421033
11302675724510a1
12b848474064209
1346287871b5550
141ba8a38732cd3
15c0d5e568b373
hex5edf0dcf8229

104312102421033 has 80 divisors (see below), whose sum is σ = 168051101137920. Its totient is φ = 64100157480576.

The previous prime is 104312102421017. The next prime is 104312102421049. The reversal of 104312102421033 is 330124201213401.

104312102421033 is a `hidden beast` number, since 1 + 0 + 4 + 312 + 1 + 0 + 242 + 103 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (104312102421017) and next prime (104312102421049).

It is not a de Polignac number, because 104312102421033 - 24 = 104312102421017 is a prime.

It is a super-2 number, since 2×1043121024210332 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 104312102420988 and 104312102421006.

It is not an unprimeable number, because it can be changed into a prime (104312102421133) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3843043660 + ... + 3843070802.

It is an arithmetic number, because the mean of its divisors is an integer number (2100638764224).

Almost surely, 2104312102421033 is an apocalyptic number.

104312102421033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

104312102421033 is a deficient number, since it is larger than the sum of its proper divisors (63738998716887).

104312102421033 is a wasteful number, since it uses less digits than its factorization.

104312102421033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32260 (or 32251 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 104312102421033 its reverse (330124201213401), we get a palindrome (434436303634434).

The spelling of 104312102421033 in words is "one hundred four trillion, three hundred twelve billion, one hundred two million, four hundred twenty-one thousand, thirty-three".

Divisors: 1 3 9 13 27 39 81 117 351 863 1053 2589 4229 7767 11219 12687 23301 27143 33657 38061 54977 69903 81429 100971 114183 164931 244287 302913 342549 352859 494793 732861 908739 1058577 1484379 2198583 3175731 3649627 4453137 9527193 10948881 23424409 28581579 32846643 47445151 70273227 98539929 114787747 142335453 210819681 295619787 304517317 344363241 427006359 632459043 913551951 1033089723 1281019077 1492240711 1897377129 2740655853 3099269169 3843057231 4476722133 8221967559 9297807507 13430166399 24665902677 40290499197 99061825661 120871497591 297185476983 891556430949 1287803733593 2674669292847 3863411200779 8024007878541 11590233602337 34770700807011 104312102421033