Search a number
-
+
122453135145 = 32511617875153
BaseRepresentation
bin111001000001011000…
…1101000111100101001
3102201001222011210021200
41302002301220330221
54001241000311040
6132130523354413
711563334321625
oct1620261507451
9381058153250
10122453135145
1147a28669940
121b895382a09
13b7164b8423
145cd9078185
1532ba525630
hex1c82c68f29

122453135145 has 96 divisors (see below), whose sum is σ = 235688379264. Its totient is φ = 58312396800.

The previous prime is 122453135143. The next prime is 122453135171. The reversal of 122453135145 is 541531354221.

122453135145 is a `hidden beast` number, since 12 + 24 + 531 + 3 + 51 + 45 = 666.

It is not a de Polignac number, because 122453135145 - 21 = 122453135143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122453135143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23760889 + ... + 23766041.

It is an arithmetic number, because the mean of its divisors is an integer number (2455087284).

Almost surely, 2122453135145 is an apocalyptic number.

122453135145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122453135145 is a deficient number, since it is larger than the sum of its proper divisors (113235244119).

122453135145 is a wasteful number, since it uses less digits than its factorization.

122453135145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6023 (or 6020 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

Adding to 122453135145 its reverse (541531354221), we get a palindrome (663984489366).

The spelling of 122453135145 in words is "one hundred twenty-two billion, four hundred fifty-three million, one hundred thirty-five thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 61 99 165 183 305 495 549 671 787 915 2013 2361 2745 3355 3935 5153 6039 7083 8657 10065 11805 15459 25765 25971 30195 35415 43285 46377 48007 56683 77295 77913 129855 144021 170049 231885 240035 283415 314333 389565 432063 510147 528077 720105 850245 942999 1571665 1584231 2160315 2550735 2640385 2828997 3457663 4055411 4714995 4752693 7921155 10372989 12166233 14144985 17288315 20277055 23763465 31118967 36498699 44609521 51864945 60831165 133828563 155594835 182493495 223047605 247380071 401485689 669142815 742140213 1236900355 2007428445 2226420639 2721180781 3710701065 8163542343 11132103195 13605903905 24490627029 40817711715 122453135145