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122734071135 = 32513316767801
BaseRepresentation
bin111001001001110000…
…1010100110101011111
3102201210112210211000100
41302103201110311133
54002324410234020
6132214441032143
711603315251164
oct1622341246537
9381715724010
10122734071135
1148062202245
121b953485653
13b75c76cb40
145d244c806b
1532d501aa90
hex1c93854d5f

122734071135 has 48 divisors (see below), whose sum is σ = 236494073088. Its totient is φ = 58473792000.

The previous prime is 122734071077. The next prime is 122734071137. The reversal of 122734071135 is 531170437221.

It is not a de Polignac number, because 122734071135 - 225 = 122700516703 is a prime.

It is a super-3 number, since 3×1227340711353 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122734071135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122734071137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3365766 + ... + 3402035.

It is an arithmetic number, because the mean of its divisors is an integer number (4926959856).

Almost surely, 2122734071135 is an apocalyptic number.

122734071135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122734071135 is a deficient number, since it is larger than the sum of its proper divisors (113760001953).

122734071135 is a wasteful number, since it uses less digits than its factorization.

122734071135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6767856 (or 6767853 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 122734071135 in words is "one hundred twenty-two billion, seven hundred thirty-four million, seventy-one thousand, one hundred thirty-five".

Divisors: 1 3 5 9 13 15 31 39 45 65 93 117 155 195 279 403 465 585 1209 1395 2015 3627 6045 18135 6767801 20303403 33839005 60910209 87981413 101517015 209801831 263944239 304551045 439907065 629405493 791832717 1049009155 1319721195 1888216479 2727423803 3147027465 3959163585 8182271409 9441082395 13637119015 24546814227 40911357045 122734071135