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1220153244135 = 35722131779011
BaseRepresentation
bin10001110000010110110…
…011001111100111100111
311022122102120120222122220
4101300112303033213213
5124442333212303020
62332310342323423
7154103351310600
oct21602663174747
94278376528586
101220153244135
11430511773761
12178582a29573
138b0a1959037
14430acd00da7
1521b14127240
hex11c16ccf9e7

1220153244135 has 48 divisors (see below), whose sum is σ = 2272047702912. Its totient is φ = 557521876800.

The previous prime is 1220153244109. The next prime is 1220153244137. The reversal of 1220153244135 is 5314423510221.

It is not a de Polignac number, because 1220153244135 - 28 = 1220153243879 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1220153244096 and 1220153244105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220153244137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1176780 + ... + 1955790.

It is an arithmetic number, because the mean of its divisors is an integer number (47334327144).

Almost surely, 21220153244135 is an apocalyptic number.

1220153244135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1220153244135 is a deficient number, since it is larger than the sum of its proper divisors (1051894458777).

1220153244135 is a wasteful number, since it uses less digits than its factorization.

1220153244135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781164 (or 781157 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 1220153244135 its reverse (5314423510221), we get a palindrome (6534576754356).

The spelling of 1220153244135 in words is "one trillion, two hundred twenty billion, one hundred fifty-three million, two hundred forty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 735 2131 6393 10655 14917 31965 44751 74585 104419 223755 313257 522095 779011 1566285 2337033 3895055 5453077 11685165 16359231 27265385 38171539 81796155 114514617 190857695 572573085 1660072441 4980217323 8300362205 11620507087 24901086615 34861521261 58102535435 81343549609 174307606305 244030648827 406717748045 1220153244135