Search a number
-
+
100041020232321 = 3723173595980081
BaseRepresentation
bin10110101111110010011101…
…011110010101001010000001
3111010012211100201010020102110
4112233302131132111022001
5101103033002134413241
6552434113224405533
730033503512311300
oct2657623536251201
9433184321106373
10100041020232321
1129970181947923
12b2787533168a9
1343a8a9b69a76c
141a9c022ab6437
15b8746ab32816
hex5afc9d795281

100041020232321 has 48 divisors (see below), whose sum is σ = 156088751518080. Its totient is φ = 56827217180160.

The previous prime is 100041020232311. The next prime is 100041020232407. The reversal of 100041020232321 is 123232020140001.

It is not a de Polignac number, because 100041020232321 - 222 = 100041016038017 is a prime.

It is a super-3 number, since 3×1000410202323213 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (100041020232311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13739001 + ... + 19719081.

It is an arithmetic number, because the mean of its divisors is an integer number (3251848989960).

Almost surely, 2100041020232321 is an apocalyptic number.

It is an amenable number.

100041020232321 is a deficient number, since it is larger than the sum of its proper divisors (56047731285759).

100041020232321 is a wasteful number, since it uses less digits than its factorization.

100041020232321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5980774 (or 5980767 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 100041020232321 its reverse (123232020140001), we get a palindrome (223273040372322).

The spelling of 100041020232321 in words is "one hundred trillion, forty-one billion, twenty million, two hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 7 21 49 147 317 359 951 1077 2219 2513 6657 7539 15533 17591 46599 52773 113803 341409 796621 2389863 5576347 5980081 16729041 17940243 41860567 125581701 293023969 879071907 1895685677 2146849079 5687057031 6440547237 13269799739 15027943553 39809399217 45083830659 92888598173 105195604871 278665794519 315586814613 680551158043 2041653474129 4763858106301 14291574318903 33347006744107 100041020232321