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101001012332213 = 72192916487226901
BaseRepresentation
bin10110111101110000100001…
…011101100100011010110101
3111020121121021012121202111102
4112331300201131210122311
5101214300033124112323
6554451120255015445
730163040145444200
oct2675604135443265
9436547235552442
10101001012332213
112a20031a409264
12b3b280a80a585
13444847c078c16
141ad2691896937
15ba2404d51328
hex5bdc217646b5

101001012332213 has 48 divisors (see below), whose sum is σ = 127947678019200. Its totient is φ = 79182574531200.

The previous prime is 101001012332153. The next prime is 101001012332219. The reversal of 101001012332213 is 312233210100101.

It is a happy number.

It is not a de Polignac number, because 101001012332213 - 224 = 101000995554997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001012332219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445019063 + ... + 445245963.

It is an arithmetic number, because the mean of its divisors is an integer number (2665576625400).

Almost surely, 2101001012332213 is an apocalyptic number.

It is an amenable number.

101001012332213 is a deficient number, since it is larger than the sum of its proper divisors (26946665686987).

101001012332213 is a wasteful number, since it uses less digits than its factorization.

101001012332213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243450 (or 243443 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101001012332213 its reverse (312233210100101), we get a palindrome (413234222432314).

The spelling of 101001012332213 in words is "one hundred one trillion, one billion, twelve million, three hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 7 19 29 49 133 203 551 931 1421 3857 16487 26999 115409 226901 313253 478123 807863 1588307 2192771 3346861 4311119 6580129 9084337 11118149 15349397 23428027 30177833 46060903 63590359 125022451 211244831 322426321 445132513 875157157 3740916787 6126100099 26186417509 71077418953 108486586823 183304922563 497541932671 759406107761 2061245149637 3482793528697 5315842754327 14428716047459 101001012332213