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102045429312 = 26337118112163
BaseRepresentation
bin101111100001001100…
…0011010111001000000
3100202101201110220202220
41133002120122321000
53132442112214222
6114513511411040
710241531560161
oct1370230327100
9322351426686
10102045429312
113a305a91452
121793a983a80
139813501948
144d20983768
1529c3ac2b5c
hex17c261ae40

102045429312 has 112 divisors (see below), whose sum is σ = 277549977792. Its totient is φ = 33065072640.

The previous prime is 102045429301. The next prime is 102045429319. The reversal of 102045429312 is 213924540201.

It is not an unprimeable number, because it can be changed into a prime (102045429319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8383743 + ... + 8395905.

Almost surely, 2102045429312 is an apocalyptic number.

102045429312 is a gapful number since it is divisible by the number (12) 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 102045429312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138774988896).

102045429312 is an abundant number, since it is smaller than the sum of its proper divisors (175504548480).

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

102045429312 is a wasteful number, since it uses less digits than its factorization.

102045429312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13396 (or 13386 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 102045429312 its reverse (213924540201), we get a palindrome (315969969513).

The spelling of 102045429312 in words is "one hundred two billion, forty-five million, four hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1181 1184 1776 2362 2368 3543 3552 4724 7086 7104 9448 12163 14172 18896 24326 28344 36489 37792 43697 48652 56688 72978 75584 87394 97304 113376 131091 145956 174788 194608 226752 262182 291912 349576 389216 450031 524364 583824 699152 778432 900062 1048728 1167648 1350093 1398304 1800124 2097456 2335296 2700186 2796608 3600248 4194912 5400372 7200496 8389824 10800744 14364503 14400992 21601488 28729006 28801984 43093509 43202976 57458012 86187018 86405952 114916024 172374036 229832048 344748072 459664096 531486611 689496144 919328192 1062973222 1378992288 1594459833 2125946444 2757984576 3188919666 4251892888 6377839332 8503785776 12755678664 17007571552 25511357328 34015143104 51022714656 102045429312