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1036144135 = 513172359691
BaseRepresentation
bin111101110000100…
…100111000000111
32200012200120112201
4331300210320013
54110223103020
6250452055331
734451036245
oct7560447007
92605616481
101036144135
11491970474
1224b004547
13136883950
149b879795
1560e70a0a
hex3dc24e07

1036144135 has 64 divisors (see below), whose sum is σ = 1506677760. Its totient is φ = 676177920.

The previous prime is 1036144133. The next prime is 1036144177. The reversal of 1036144135 is 5314416301.

1036144135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1036144135 - 21 = 1036144133 is a prime.

It is a super-3 number, since 3×10361441353 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036144133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1499140 + ... + 1499830.

It is an arithmetic number, because the mean of its divisors is an integer number (23541840).

Almost surely, 21036144135 is an apocalyptic number.

1036144135 is a deficient number, since it is larger than the sum of its proper divisors (470533625).

1036144135 is a wasteful number, since it uses less digits than its factorization.

1036144135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 1036144135 is about 32189.1928292711. The cubic root of 1036144135 is about 1011.9057359199.

The spelling of 1036144135 in words is "one billion, thirty-six million, one hundred forty-four thousand, one hundred thirty-five".

Divisors: 1 5 13 17 23 59 65 85 115 221 295 299 391 691 767 1003 1105 1357 1495 1955 3455 3835 5015 5083 6785 8983 11747 13039 15893 17641 23069 25415 40769 44915 58735 65195 79465 88205 115345 152711 203845 206609 270181 299897 529997 693073 763555 937687 1033045 1350905 1499485 2649985 3465365 3512353 4688435 9009949 12189931 15940679 17561765 45049745 60949655 79703395 207228827 1036144135