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242036303630242 = 211273137100005001
BaseRepresentation
bin110111000010000101110111…
…111001101000111110100010
31011201222110000011002102021211
4313002011313321220332202
5223211010322212131432
62214433535355340334
7101660355143553112
oct6702056771507642
91151873004072254
10242036303630242
1170136024586a00
12231903104516aa
13a508c0541ab04
1443aa896283042
151ceadbdec4d47
hexdc2177e68fa2

242036303630242 has 48 divisors (see below), whose sum is σ = 407479181089176. Its totient is φ = 107717385600000.

The previous prime is 242036303630221. The next prime is 242036303630291.

242036303630242 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 241536637019601 + 499666610641 = 15541449^2 + 706871^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242036303630195 and 242036303630204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47582259 + ... + 52422742.

Almost surely, 2242036303630242 is an apocalyptic number.

242036303630242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242036303630242 is a deficient number, since it is larger than the sum of its proper divisors (165442877458934).

242036303630242 is a wasteful number, since it uses less digits than its factorization.

242036303630242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100005235 (or 100005224 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 40.

It can be divided in two parts, 24203630 and 3630242, that added together give a palindrome (27833872).

The spelling of 242036303630242 in words is "two hundred forty-two trillion, thirty-six billion, three hundred three million, six hundred thirty thousand, two hundred forty-two".

Divisors: 1 2 11 22 73 121 137 146 242 274 803 1507 1606 3014 8833 10001 16577 17666 20002 33154 110011 220022 1210121 2420242 100005001 200010002 1100055011 2200110022 7300365073 12100605121 13700685137 14600730146 24201210242 27401370274 80304015803 150707536507 160608031606 301415073014 883344173833 1000150015001 1657782901577 1766688347666 2000300030002 3315565803154 11001650165011 22003300330022 121018151815121 242036303630242