Search a number
-
+
101134801333345 = 51317418592598731
BaseRepresentation
bin10110111111101101000111…
…111010000110110001100001
3111021002101121012020012112111
4112333231013322012301201
5101223443033120131340
6555032404125355321
730205514441261113
oct2677550772066141
9437071535205474
10101134801333345
112a252034856a8a
12b414728408b41
134457c80c36750
141ad8d4426d3b3
15ba5b3565baea
hex5bfb47e86c61

101134801333345 has 64 divisors (see below), whose sum is σ = 141925694158080. Its totient is φ = 68496701644800.

The previous prime is 101134801333219. The next prime is 101134801333393. The reversal of 101134801333345 is 543333108431101.

It is not a de Polignac number, because 101134801333345 - 29 = 101134801332833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101134801333298 and 101134801333307.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37617630 + ... + 40216360.

It is an arithmetic number, because the mean of its divisors is an integer number (2217588971220).

Almost surely, 2101134801333345 is an apocalyptic number.

It is an amenable number.

101134801333345 is a deficient number, since it is larger than the sum of its proper divisors (40790892824735).

101134801333345 is a wasteful number, since it uses less digits than its factorization.

101134801333345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599666.

The product of its (nonzero) digits is 155520, while the sum is 40.

Adding to 101134801333345 its reverse (543333108431101), we get a palindrome (644467909764446).

The spelling of 101134801333345 in words is "one hundred one trillion, one hundred thirty-four billion, eight hundred one million, three hundred thirty-three thousand, three hundred forty-five".

Divisors: 1 5 13 17 41 65 85 205 221 533 697 859 1105 2665 3485 4295 9061 11167 14603 35219 45305 55835 73015 176095 189839 457847 598723 949195 2289235 2598731 2993615 7783399 12993655 33783503 38916995 44178427 106547971 168917515 220892135 532739855 574319551 1385123623 1811315507 2232309929 2871597755 6925618115 9056577535 11161549645 23547101591 29020029077 37949268793 91524707089 117735507955 145100145385 189746343965 457623535445 493340494309 1189821192157 1555920020513 2466702471545 5949105960785 7779600102565 20226960266669 101134801333345