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100221133130124 = 22379439240816617
BaseRepresentation
bin10110110010011010001101…
…000010100000100110001100
3111010212001021002022110100020
4112302122031002200212030
5101114010340040130444
6553052541501102140
730052511051552436
oct2662321502404614
9433761232273306
10100221133130124
1129a2a5a898a876
12b2a763a857950
1343bca73820336
141aa6a2b89d656
15b8bead1dc119
hex5b268d0a098c

100221133130124 has 48 divisors (see below), whose sum is σ = 237348858700800. Its totient is φ = 32909035476096.

The previous prime is 100221133130099. The next prime is 100221133130189. The reversal of 100221133130124 is 421031331122001.

It is a junction number, because it is equal to n+sod(n) for n = 100221133130094 and 100221133130103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119992137 + ... + 120824480.

It is an arithmetic number, because the mean of its divisors is an integer number (4944767889600).

Almost surely, 2100221133130124 is an apocalyptic number.

It is an amenable number.

100221133130124 is an abundant number, since it is smaller than the sum of its proper divisors (137127725570676).

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

100221133130124 is a wasteful number, since it uses less digits than its factorization.

100221133130124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240817142 (or 240817140 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 100221133130124 its reverse (421031331122001), we get a palindrome (521252464252125).

The spelling of 100221133130124 in words is "one hundred trillion, two hundred twenty-one billion, one hundred thirty-three million, one hundred thirty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 79 158 237 316 439 474 878 948 1317 1756 2634 5268 34681 69362 104043 138724 208086 416172 240816617 481633234 722449851 963266468 1444899702 2889799404 19024512743 38049025486 57073538229 76098050972 105718494863 114147076458 211436989726 228294152916 317155484589 422873979452 634310969178 1268621938356 8351761094177 16703522188354 25055283282531 33407044376708 50110566565062 100221133130124