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103082652024 = 23311235839907
BaseRepresentation
bin110000000000000110…
…1000111000101111000
3100212002000012021211220
41200000031013011320
53142103124331044
6115204442552040
710306325041122
oct1400015070570
9325060167756
10103082652024
113a798519200
1217b8a208620
13994a3724b1
144dbc620212
152a34ba8019
hex1800347178

103082652024 has 96 divisors (see below), whose sum is σ = 283371970560. Its totient is φ = 31225296960.

The previous prime is 103082652019. The next prime is 103082652073. The reversal of 103082652024 is 420256280301.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10400079 + ... + 10409985.

It is an arithmetic number, because the mean of its divisors is an integer number (2951791360).

Almost surely, 2103082652024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103082652024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141685985280).

103082652024 is an abundant number, since it is smaller than the sum of its proper divisors (180289318536).

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

103082652024 is a wasteful number, since it uses less digits than its factorization.

103082652024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13521 (or 13506 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 103082652024 in words is "one hundred three billion, eighty-two million, six hundred fifty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 3583 7166 9907 10749 14332 19814 21498 28664 29721 39413 39628 42996 59442 78826 79256 85992 108977 118239 118884 157652 217954 236478 237768 315304 326931 433543 435908 472956 653862 867086 871816 945912 1198747 1300629 1307724 1734172 2397494 2601258 2615448 3468344 3596241 4794988 5202516 7192482 9589976 10405032 14384964 28769928 35496781 70993562 106490343 141987124 212980686 283974248 390464591 425961372 780929182 851922744 1171393773 1561858364 2342787546 3123716728 4295110501 4685575092 8590221002 9371150184 12885331503 17180442004 25770663006 34360884008 51541326012 103082652024