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1212131030301 = 341131814571601
BaseRepresentation
bin10001101000111000101…
…000111011010100011101
311021212201111101022010000
4101220320220323110131
5124324421020432201
62324502330404513
7153400510521222
oct21507050732435
94255644338100
101212131030301
11428075403774
12176b04290739
138a3c3938c49
144294b6d3949
15217e4bded86
hex11a38a3b51d

1212131030301 has 80 divisors (see below), whose sum is σ = 1841999887728. Its totient is φ = 794271744000.

The previous prime is 1212131030293. The next prime is 1212131030309. The reversal of 1212131030301 is 1030301312121.

1212131030301 is a `hidden beast` number, since 1 + 2 + 1 + 21 + 310 + 30 + 301 = 666.

It is an interprime number because it is at equal distance from previous prime (1212131030293) and next prime (1212131030309).

It can be written as a sum of positive squares in 8 ways, for example, as 10693628100 + 1201437402201 = 103410^2 + 1096101^2 .

It is not a de Polignac number, because 1212131030301 - 23 = 1212131030293 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212131030309) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 757107901 + ... + 757109501.

Almost surely, 21212131030301 is an apocalyptic number.

It is an amenable number.

1212131030301 is a deficient number, since it is larger than the sum of its proper divisors (629868857427).

1212131030301 is a wasteful number, since it uses less digits than its factorization.

1212131030301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1212131030301 its reverse (1030301312121), we get a palindrome (2242432342422).

The spelling of 1212131030301 in words is "one trillion, two hundred twelve billion, one hundred thirty-one million, thirty thousand, three hundred one".

Divisors: 1 3 9 27 81 113 181 339 457 543 1017 1371 1601 1629 3051 4113 4803 4887 9153 12339 14409 14661 20453 37017 43227 51641 61359 82717 129681 154923 180913 184077 248151 289781 464769 542739 552231 731657 744453 869343 1394307 1628217 1656693 2194971 2233359 2608029 4182921 4884651 6584913 6700077 7824087 9347021 14653953 19754739 23472261 28041063 32745253 59264217 82677241 84123189 98235759 132429917 248031723 252369567 294707277 397289751 744095169 757108701 884121831 1191869253 2232285507 2652365493 3575607759 6696856521 10726823277 14964580621 44893741863 134681225589 404043676767 1212131030301