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11162070620127 = 3279715725146351
BaseRepresentation
bin1010001001101101111101…
…0000010001011111011111
31110112002020220010020010200
42202123133100101133133
52430334410034321002
635423441235234543
72231301341550030
oct242333720213737
943462226106120
1011162070620127
113613897963679
12130334aa48a53
1362c76a662b8b
142a8366088a87
1514553ed08b1c
hexa26df4117df

11162070620127 has 96 divisors (see below), whose sum is σ = 18809858156544. Its totient is φ = 6247238400000.

The previous prime is 11162070620093. The next prime is 11162070620131. The reversal of 11162070620127 is 72102607026111.

11162070620127 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 2 + 0 + 7 + 0 + 620 + 1 + 27 = 666.

It is a de Polignac number, because none of the positive numbers 2k-11162070620127 is a prime.

It is a super-2 number, since 2×111620706201272 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11162070620091 and 11162070620100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11162070620137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240793002 + ... + 240839352.

It is an arithmetic number, because the mean of its divisors is an integer number (195936022464).

Almost surely, 211162070620127 is an apocalyptic number.

11162070620127 is a deficient number, since it is larger than the sum of its proper divisors (7647787536417).

11162070620127 is a wasteful number, since it uses less digits than its factorization.

11162070620127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46869 (or 46866 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Adding to 11162070620127 its reverse (72102607026111), we get a palindrome (83264677646238).

The spelling of 11162070620127 in words is "eleven trillion, one hundred sixty-two billion, seventy million, six hundred twenty thousand, one hundred twenty-seven".

Divisors: 1 3 7 9 21 63 97 157 251 291 471 679 753 873 1099 1413 1757 2037 2259 3297 5271 6111 9891 15229 15813 24347 39407 45687 46351 73041 106603 118221 137061 139053 170429 219123 275849 319809 324457 354663 417159 511287 827547 959427 973371 1533861 2482641 2920113 3822479 4496047 7277107 11467437 11634101 13488141 21831321 26757353 31472329 34402311 34902303 40464423 50939749 65493963 80272059 81438707 94416987 104706909 152819247 240816177 244316121 283250961 458457741 705879379 732948363 1128507797 1826553857 2117638137 3385523391 4941155653 5479661571 6352914411 7899554579 10156570173 12785876999 14823466959 16438984713 23698663737 38357630997 44470400877 71095991211 115072892991 177175724129 531527172387 1240230068903 1594581517161 3720690206709 11162070620127