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101131302330 = 23354159154841
BaseRepresentation
bin101111000101111100…
…1010011010110111010
3100200001000101110022000
41132023321103112322
53124104103133310
6114243054441430
710210061613012
oct1361371232672
9320030343260
10101131302330
1139986a90303
1217724803276
1396c90000c6
144c753cac42
15296d7054c0
hex178be535ba

101131302330 has 128 divisors (see below), whose sum is σ = 280945324800. Its totient is φ = 25864473600.

The previous prime is 101131302319. The next prime is 101131302331. The reversal of 101131302330 is 33203131101.

It is a happy number.

101131302330 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 31 + 302 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101131302331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 575710 + ... + 730550.

It is an arithmetic number, because the mean of its divisors is an integer number (2194885350).

Almost surely, 2101131302330 is an apocalyptic number.

101131302330 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 101131302330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140472662400).

101131302330 is an abundant number, since it is smaller than the sum of its proper divisors (179814022470).

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

101131302330 is a wasteful number, since it uses less digits than its factorization.

101131302330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154957 (or 154951 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101131302330 its reverse (33203131101), we get a palindrome (134334433431).

The spelling of 101131302330 in words is "one hundred one billion, one hundred thirty-one million, three hundred two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 59 82 90 118 123 135 177 205 246 270 295 354 369 410 531 590 615 738 885 1062 1107 1230 1593 1770 1845 2214 2419 2655 3186 3690 4838 5310 5535 7257 7965 11070 12095 14514 15930 21771 24190 36285 43542 65313 72570 108855 130626 154841 217710 309682 326565 464523 653130 774205 929046 1393569 1548410 2322615 2787138 4180707 4645230 6348481 6967845 8361414 9135619 12696962 13935690 18271238 19045443 20903535 27406857 31742405 38090886 41807070 45678095 54813714 57136329 63484810 82220571 91356190 95227215 114272658 137034285 164441142 171408987 190454430 246661713 274068570 285681645 342817974 374560379 411102855 493323426 571363290 749120758 822205710 857044935 1123681137 1233308565 1714089870 1872801895 2247362274 2466617130 3371043411 3745603790 5618405685 6742086822 10113130233 11236811370 16855217055 20226260466 33710434110 50565651165 101131302330