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100341341232 = 243111171162289
BaseRepresentation
bin101110101110011001…
…1110101110000110000
3100120222221221021101120
41131130303311300300
53120444340404412
6114032435102240
710151360220306
oct1353463656060
9316887837346
10100341341232
11396110868a0
1217544141980
1396014536c2
144bdc516276
1529241b2b8c
hex175ccf5c30

100341341232 has 80 divisors (see below), whose sum is σ = 283023373440. Its totient is φ = 30380313600.

The previous prime is 100341341203. The next prime is 100341341239. The reversal of 100341341232 is 232143143001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100341341239) 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, 537144 + ... + 699432.

It is an arithmetic number, because the mean of its divisors is an integer number (3537792168).

Almost surely, 2100341341232 is an apocalyptic number.

100341341232 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 100341341232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141511686720).

100341341232 is an abundant number, since it is smaller than the sum of its proper divisors (182682032208).

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

100341341232 is a wasteful number, since it uses less digits than its factorization.

100341341232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163482 (or 163476 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100341341232 its reverse (232143143001), we get a palindrome (332484484233).

The spelling of 100341341232 in words is "one hundred billion, three hundred forty-one million, three hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1171 2342 3513 4684 7026 9368 12881 14052 18736 25762 28104 38643 51524 56208 77286 103048 154572 162289 206096 309144 324578 486867 618288 649156 973734 1298312 1785179 1947468 2596624 3570358 3894936 5355537 7140716 7789872 10711074 14281432 21422148 28562864 42844296 85688592 190040419 380080838 570121257 760161676 1140242514 1520323352 2090444609 2280485028 3040646704 4180889218 4560970056 6271333827 8361778436 9121940112 12542667654 16723556872 25085335308 33447113744 50170670616 100341341232