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102144332120 = 23519769174773
BaseRepresentation
bin101111100100001000…
…1101101000101011000
3100202122121120200220212
41133020101231011120
53133142422111440
6114531403310252
710244142332435
oct1371021550530
9322577520825
10102144332120
113a3568a3606
1217967b1b388
13982ab4cc0c
144d2db6ab8c
1529cc60c465
hex17c846d158

102144332120 has 64 divisors (see below), whose sum is σ = 242236764000. Its totient is φ = 38656770048.

The previous prime is 102144332119. The next prime is 102144332131. The reversal of 102144332120 is 21233441201.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 497054 + ... + 671826.

Almost surely, 2102144332120 is an apocalyptic number.

102144332120 is a gapful number since it is divisible by the number (10) 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 102144332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121118382000).

102144332120 is an abundant number, since it is smaller than the sum of its proper divisors (140092431880).

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

102144332120 is a wasteful number, since it uses less digits than its factorization.

102144332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175572 (or 175568 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 102144332120 its reverse (21233441201), we get a palindrome (123377773321).

The spelling of 102144332120 in words is "one hundred two billion, one hundred forty-four million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 769 1538 3076 3845 6152 7690 14611 15380 29222 30760 58444 73055 116888 146110 174773 292220 349546 584440 699092 873865 1398184 1747730 3320687 3495460 6641374 6990920 13282748 16603435 26565496 33206870 66413740 132827480 134400437 268800874 537601748 672002185 1075203496 1344004370 2553608303 2688008740 5107216606 5376017480 10214433212 12768041515 20428866424 25536083030 51072166060 102144332120