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101334203130 = 2354190790833
BaseRepresentation
bin101111001011111111…
…1010011101011111010
3100200120011011212212110
41132113333103223322
53130013024000010
6114315143353150
710215104341356
oct1362777235372
9320504155773
10101334203130
1139a80574716
12177807527b6
13972c061854
144c94326466
152981434120
hex1797fd3afa

101334203130 has 64 divisors (see below), whose sum is σ = 249411270528. Its totient is φ = 26334013440.

The previous prime is 101334203077. The next prime is 101334203197. The reversal of 101334203130 is 31302433101.

It is a junction number, because it is equal to n+sod(n) for n = 101334203097 and 101334203106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1070194 + ... + 1161026.

It is an arithmetic number, because the mean of its divisors is an integer number (3897051102).

Almost surely, 2101334203130 is an apocalyptic number.

101334203130 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 101334203130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124705635264).

101334203130 is an abundant number, since it is smaller than the sum of its proper divisors (148077067398).

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

101334203130 is a wasteful number, since it uses less digits than its factorization.

101334203130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91791.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 101334203130 its reverse (31302433101), we get a palindrome (132636636231).

The spelling of 101334203130 in words is "one hundred one billion, three hundred thirty-four million, two hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 907 1230 1814 2721 4535 5442 9070 13605 27210 37187 74374 90833 111561 181666 185935 223122 272499 371870 454165 544998 557805 908330 1115610 1362495 2724990 3724153 7448306 11172459 18620765 22344918 37241530 55862295 82385531 111724590 164771062 247156593 411927655 494313186 823855310 1235782965 2471565930 3377806771 6755613542 10133420313 16889033855 20266840626 33778067710 50667101565 101334203130