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101204131710 = 235113155717761
BaseRepresentation
bin101111001000000111…
…1000111111101111110
3100200020002102120102110
41132100033013331332
53124231224203320
6114254215434450
710211634632403
oct1362017077576
9320202376373
10101204131710
1139a14104080
1217745085a26
13970b11c706
144c80d482aa
152974cde5e0
hex17903c7f7e

101204131710 has 128 divisors (see below), whose sum is σ = 274024747008. Its totient is φ = 23698944000.

The previous prime is 101204131681. The next prime is 101204131727. The reversal of 101204131710 is 17131402101.

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 63 ways as a sum of consecutive naturals, for example, 5689230 + ... + 5706990.

It is an arithmetic number, because the mean of its divisors is an integer number (2140818336).

Almost surely, 2101204131710 is an apocalyptic number.

101204131710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101204131710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137012373504).

101204131710 is an abundant number, since it is smaller than the sum of its proper divisors (172820615298).

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

101204131710 is a wasteful number, since it uses less digits than its factorization.

101204131710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18370.

The product of its (nonzero) digits is 168, while the sum is 21.

Adding to 101204131710 its reverse (17131402101), we get a palindrome (118335533811).

The spelling of 101204131710 in words is "one hundred one billion, two hundred four million, one hundred thirty-one thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 557 682 930 1023 1114 1671 1705 2046 2785 3342 3410 5115 5570 6127 8355 10230 12254 16710 17267 17761 18381 30635 34534 35522 36762 51801 53283 61270 86335 88805 91905 103602 106566 172670 177610 183810 189937 195371 259005 266415 379874 390742 518010 532830 550591 569811 586113 949685 976855 1101182 1139622 1172226 1651773 1899370 1953710 2752955 2849055 2930565 3303546 5505910 5698110 5861130 6056501 8258865 9892877 12113002 16517730 18169503 19785754 29678631 30282505 36339006 49464385 59357262 60565010 90847515 98928770 108821647 148393155 181695030 217643294 296786310 306679187 326464941 544108235 613358374 652929882 920037561 1088216470 1533395935 1632324705 1840075122 3066791870 3264649410 3373471057 4600187805 6746942114 9200375610 10120413171 16867355285 20240826342 33734710570 50602065855 101204131710