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101640315213546 = 23531931632926153
BaseRepresentation
bin10111000111000011111010…
…111000100001011011101010
3111022212201102022210001110020
4113013003322320201123222
5101310233331143313141
61000100525522301310
730260161522332114
oct2707037270413352
9438781368701406
10101640315213546
112a4274631a926a
12b4966a7ab7836
134493843517c15
141b155bb8c03b4
15bb3d703a2266
hex5c70fae216ea

101640315213546 has 64 divisors (see below), whose sum is σ = 207264039131520. Its totient is φ = 33217123896320.

The previous prime is 101640315213509. The next prime is 101640315213559. The reversal of 101640315213546 is 645312513046101.

101640315213546 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101640315213498 and 101640315213507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3886360006 + ... + 3886386158.

It is an arithmetic number, because the mean of its divisors is an integer number (3238500611430).

Almost surely, 2101640315213546 is an apocalyptic number.

101640315213546 is an abundant number, since it is smaller than the sum of its proper divisors (105623723917974).

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

101640315213546 is a wasteful number, since it uses less digits than its factorization.

101640315213546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34471.

The product of its (nonzero) digits is 259200, while the sum is 42.

Adding to 101640315213546 its reverse (645312513046101), we get a palindrome (746952828259647).

The spelling of 101640315213546 in words is "one hundred one trillion, six hundred forty billion, three hundred fifteen million, two hundred thirteen thousand, five hundred forty-six".

Divisors: 1 2 3 6 53 106 159 318 1931 3862 5793 6329 11586 12658 18987 26153 37974 52306 78459 102343 156918 204686 307029 335437 614058 670874 1006311 1386109 2012622 2772218 4158327 8316654 12221299 24442598 36663897 50501443 73327794 101002886 151504329 165522337 303008658 331044674 496567011 647728847 993134022 1295457694 1943186541 2676576479 3886373082 5353152958 8029729437 8772683861 16059458874 17545367722 26318051583 52636103166 319623632747 639247265494 958870898241 1917741796482 16940052535591 33880105071182 50820157606773 101640315213546