Search a number
-
+
132033545103124 = 227193492003355031
BaseRepresentation
bin11110000001010101110100…
…100011011110011100010100
3122022111021122202212221100201
4132001111310203132130110
5114301214200021244444
61144451212342550244
736545052221656150
oct3601256443363424
9568437582787321
10132033545103124
1139085126115535
1212984b9b138384
13588992c7b04b2
142486659c36060
15103e76751add4
hex7815748de714

132033545103124 has 96 divisors (see below), whose sum is σ = 278901778176000. Its totient is φ = 53427163870080.

The previous prime is 132033545103101. The next prime is 132033545103193. The reversal of 132033545103124 is 421301545330231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 371715489 + ... + 372070519.

It is an arithmetic number, because the mean of its divisors is an integer number (2905226856000).

Almost surely, 2132033545103124 is an apocalyptic number.

132033545103124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132033545103124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139450889088000).

132033545103124 is an abundant number, since it is smaller than the sum of its proper divisors (146868233072876).

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

132033545103124 is a wasteful number, since it uses less digits than its factorization.

132033545103124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357413 (or 357411 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 132033545103124 in words is "one hundred thirty-two trillion, thirty-three billion, five hundred forty-five million, one hundred three thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 349 532 698 1396 2003 2443 4006 4886 6631 8012 9772 13262 14021 26524 28042 38057 46417 56084 76114 92834 152228 185668 266399 355031 532798 699047 710062 1065596 1398094 1420124 2485217 2796188 4893329 4970434 6745589 9786658 9940868 13281893 13491178 19573316 26563786 26982356 47219123 53127572 92973251 94438246 123905819 185946502 188876492 247811638 371893004 495623276 711127093 867340733 1422254186 1734681466 2354210561 2844508372 3469362932 4708421122 4977889651 9416842244 9955779302 13511414767 16479473927 19911558604 27022829534 32958947854 54045659068 65917895708 94579903369 189159806738 248183355457 378319613476 496366710914 992733421828 1737283488199 3474566976398 4715483753683 6949133952796 9430967507366 18861935014732 33008386275781 66016772551562 132033545103124