Search a number
-
+
123551054055 = 34511135234079
BaseRepresentation
bin111001100010000110…
…1110111100011100111
3102210220111002211220000
41303010031313203213
54011013032212210
6132431503512343
711632465426452
oct1630415674347
9383814084800
10123551054055
1148441392640
121bb40bb86b3
13b85cabaaa0
145da0bd4499
153331ae9ac0
hex1cc43778e7

123551054055 has 160 divisors (see below), whose sum is σ = 260757826560. Its totient is φ = 55176318720.

The previous prime is 123551054021. The next prime is 123551054069. The reversal of 123551054055 is 550450155321.

123551054055 is a `hidden beast` number, since 1 + 2 + 3 + 55 + 10 + 540 + 55 = 666.

It is not a de Polignac number, because 123551054055 - 214 = 123551037671 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30287506 + ... + 30291584.

It is an arithmetic number, because the mean of its divisors is an integer number (1629736416).

Almost surely, 2123551054055 is an apocalyptic number.

123551054055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

123551054055 is an abundant number, since it is smaller than the sum of its proper divisors (137206772505).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123551054055 is a wasteful number, since it uses less digits than its factorization.

123551054055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643 (or 4634 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 123551054055 in words is "one hundred twenty-three billion, five hundred fifty-one million, fifty-four thousand, fifty-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 81 99 117 135 143 165 195 297 351 405 429 495 523 585 715 891 1053 1287 1485 1569 1755 2145 2615 3861 4079 4455 4707 5265 5753 6435 6799 7845 11583 12237 14121 17259 19305 20395 20397 23535 28765 33995 36711 42363 44869 51777 53027 57915 61185 61191 70605 74789 86295 101985 110133 134607 155331 159081 183555 183573 211815 224345 224367 258885 265135 305955 330399 373945 403821 465993 477243 550665 550719 583297 673035 673101 776655 795405 917865 1121835 1211463 1431729 1651995 1749891 2019105 2019303 2133317 2329965 2386215 2753595 2916485 3365505 3634389 4295187 5249673 6057315 6057909 6399951 7158645 8749455 10096515 10666585 15749019 18171945 19199853 21475935 23466487 26248365 27733121 30289545 31999755 47247057 57599559 70399461 78745095 83199363 95999265 117332435 138665605 172798677 211198383 236235285 249598089 287997795 305064331 351997305 415996815 633595149 748794267 863993385 915192993 1055991915 1247990445 1525321655 1900785447 2246382801 2745578979 3167975745 3743971335 4575964965 8236736937 9503927235 11231914005 13727894895 24710210811 41183684685 123551054055