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1010564113107 = 3291031273132837
BaseRepresentation
bin11101011010010100101…
…00001010001011010011
310120121102221122222022110
432231022110022023103
5113024113403104412
62052125144040403
7133003502142423
oct16551224121323
93517387588273
101010564113107
1135a63a10748a
12143a2ba63103
13743acac8243
1436ca9490483
151b448e03d3c
hexeb4a50a2d3

1010564113107 has 64 divisors (see below), whose sum is σ = 1423529902080. Its totient is φ = 636824208384.

The previous prime is 1010564113063. The next prime is 1010564113109. The reversal of 1010564113107 is 7013114650101.

It is not a de Polignac number, because 1010564113107 - 27 = 1010564112979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010564113109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 356207293 + ... + 356210129.

It is an arithmetic number, because the mean of its divisors is an integer number (22242654720).

Almost surely, 21010564113107 is an apocalyptic number.

1010564113107 is a deficient number, since it is larger than the sum of its proper divisors (412965788973).

1010564113107 is a wasteful number, since it uses less digits than its factorization.

1010564113107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412.

The product of its (nonzero) digits is 2520, while the sum is 30.

Adding to 1010564113107 its reverse (7013114650101), we get a palindrome (8023678763208).

The spelling of 1010564113107 in words is "one trillion, ten billion, five hundred sixty-four million, one hundred thirteen thousand, one hundred seven".

Divisors: 1 3 29 87 103 127 309 313 381 939 2837 2987 3683 8511 8961 9077 11049 13081 27231 32239 39243 39751 82273 96717 119253 246819 292211 360299 379349 876633 887981 934931 1080897 1138047 1152779 2663943 2804793 3458337 4094353 8474119 10448671 12283059 25422357 25751449 31346013 37110797 77254347 91462043 111332391 112773587 118736237 274386129 338320761 356208711 1076213113 2652399247 3228639339 3270434023 7957197741 9811302069 11615679461 34847038383 336854704369 1010564113107