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100041020232405 = 35725730712075839
BaseRepresentation
bin10110101111110010011101…
…011110010101001011010101
3111010012211100201010020112120
4112233302131132111023111
5101103033002134414110
6552434113224410153
730033503512311450
oct2657623536251325
9433184321106476
10100041020232405
112997018194799a
12b278753316959
1343a8a9b69a805
141a9c022ab6497
15b8746ab32870
hex5afc9d7952d5

100041020232405 has 64 divisors (see below), whose sum is σ = 184242153553920. Its totient is φ = 45406696587264.

The previous prime is 100041020232311. The next prime is 100041020232407. The reversal of 100041020232405 is 504232020140001.

It is not a de Polignac number, because 100041020232405 - 224 = 100041003455189 is a prime.

It is a super-3 number, since 3×1000410202324053 (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100041020232407) 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, 2246476 + ... + 14322314.

It is an arithmetic number, because the mean of its divisors is an integer number (2878783649280).

Almost surely, 2100041020232405 is an apocalyptic number.

100041020232405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100041020232405 is a deficient number, since it is larger than the sum of its proper divisors (84201133321515).

100041020232405 is a wasteful number, since it uses less digits than its factorization.

100041020232405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12076418.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 100041020232405 its reverse (504232020140001), we get a palindrome (604273040372406).

The spelling of 100041020232405 in words is "one hundred trillion, forty-one billion, twenty million, two hundred thirty-two thousand, four hundred five".

Divisors: 1 3 5 7 15 21 35 105 257 307 771 921 1285 1535 1799 2149 3855 4605 5397 6447 8995 10745 26985 32235 78899 236697 394495 552293 1183485 1656879 2761465 8284395 12075839 36227517 60379195 84530873 181137585 253592619 422654365 1267963095 3103490623 3707282573 9310471869 11121847719 15517453115 18536412865 21724434361 25950978011 46552359345 55609238595 65173303083 77852934033 108622171805 129754890055 325866515415 389264670165 952771621261 2858314863783 4763858106305 6669401348827 14291574318915 20008204046481 33347006744135 100041020232405