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2121334322130 = 232517281558413
BaseRepresentation
bin11110110111101001011…
…000001111001111010010
321111210112102210001022200
4132313221120033033102
5234223443041302010
64302305540344030
7306155433140322
oct36675130171722
97453472701280
102121334322130
1174871aa15971
122a31666a5016
1312506c012a5a
147495d0cd282
153a2aa1a2cc0
hex1ede960f3d2

2121334322130 has 72 divisors (see below), whose sum is σ = 5858993344932. Its totient is φ = 532413313536.

The previous prime is 2121334322087. The next prime is 2121334322137. The reversal of 2121334322130 is 312234331212.

2121334322130 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 334 + 322 + 1 + 3 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1507009125609 + 614325196521 = 1227603^2 + 783789^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2121334322094 and 2121334322103.

It is not an unprimeable number, because it can be changed into a prime (2121334322137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40753197 + ... + 40805216.

Almost surely, 22121334322130 is an apocalyptic number.

2121334322130 is an abundant number, since it is smaller than the sum of its proper divisors (3737659022802).

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

2121334322130 is a wasteful number, since it uses less digits than its factorization.

2121334322130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81558460 (or 81558440 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2121334322130 its reverse (312234331212), we get a palindrome (2433568653342).

The spelling of 2121334322130 in words is "two trillion, one hundred twenty-one billion, three hundred thirty-four million, three hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 289 306 510 578 765 867 1445 1530 1734 2601 2890 4335 5202 8670 13005 26010 81558413 163116826 244675239 407792065 489350478 734025717 815584130 1223376195 1386493021 1468051434 2446752390 2772986042 3670128585 4159479063 6932465105 7340257170 8318958126 12478437189 13864930210 20797395315 23570381357 24956874378 41594790630 47140762714 62392185945 70711144071 117851906785 124784371890 141422288142 212133432213 235703813570 353555720355 424266864426 707111440710 1060667161065 2121334322130