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101245143636 = 2232713271114041
BaseRepresentation
bin101111001001010101…
…1100100101001010100
3100200022221121012012200
41132102223210221110
53124322224044021
6114302242444500
710212643343610
oct1362253445124
9320287535180
10101245143636
1139a35275a2a
1217756963730
13971677ba20
144c86582340
1529786e1126
hex1792ae4a54

101245143636 has 144 divisors (see below), whose sum is σ = 316149969408. Its totient is φ = 26603251200.

The previous prime is 101245143619. The next prime is 101245143647. The reversal of 101245143636 is 636341542101.

101245143636 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 4 + 5 + 14 + 3 + 636 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101245143636.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 830776 + ... + 944816.

Almost surely, 2101245143636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101245143636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158074984704).

101245143636 is an abundant number, since it is smaller than the sum of its proper divisors (214904825772).

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

101245143636 is a wasteful number, since it uses less digits than its factorization.

101245143636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114342 (or 114337 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 101245143636 its reverse (636341542101), we get a palindrome (737586685737).

The spelling of 101245143636 in words is "one hundred one billion, two hundred forty-five million, one hundred forty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 271 273 364 468 542 546 813 819 1084 1092 1626 1638 1897 2439 3252 3276 3523 3794 4878 5691 7046 7588 9756 10569 11382 14092 17073 21138 22764 24661 31707 34146 42276 49322 63414 68292 73983 98644 114041 126828 147966 221949 228082 295932 342123 443898 456164 684246 798287 887796 1026369 1368492 1482533 1596574 2052738 2394861 2965066 3193148 4105476 4447599 4789722 5930132 7184583 8895198 9579444 10377731 13342797 14369166 17790396 20755462 26685594 28738332 30905111 31133193 41510924 53371188 61810222 62266386 92715333 93399579 123620444 124532772 185430666 186799158 216335777 278145999 370861332 373598316 401766443 432671554 556291998 649007331 803532886 865343108 1112583996 1205299329 1298014662 1607065772 1947021993 2410598658 2596029324 2812365101 3615897987 3894043986 4821197316 5624730202 7231795974 7788087972 8437095303 11249460404 14463591948 16874190606 25311285909 33748381212 50622571818 101245143636