Search a number
-
+
10402111131101 = 31617659877941
BaseRepresentation
bin1001011101011110111000…
…1000111000110111011101
31100211102200000021012020222
42113113232020320313131
52330412010422143401
634042355222051125
72122346003512424
oct227275610706735
940742600235228
1010402111131101
113350568607468
1211bbbb9b79aa5
135a5bb7c81061
1427d6718382bb
151308b1d51c1b
hex975ee238ddd

10402111131101 has 32 divisors (see below), whose sum is σ = 10795128284160. Its totient is φ = 10012898649600.

The previous prime is 10402111130989. The next prime is 10402111131107. The reversal of 10402111131101 is 10113111120401.

It is a cyclic number.

It is not a de Polignac number, because 10402111131101 - 234 = 10384931261917 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10402111131101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10402111131107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11054315291 + ... + 11054316231.

It is an arithmetic number, because the mean of its divisors is an integer number (337347758880).

Almost surely, 210402111131101 is an apocalyptic number.

It is an amenable number.

10402111131101 is a deficient number, since it is larger than the sum of its proper divisors (393017153059).

10402111131101 is an equidigital number, since it uses as much as digits as its factorization.

10402111131101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 10402111131101 its reverse (10113111120401), we get a palindrome (20515222251502).

The spelling of 10402111131101 in words is "ten trillion, four hundred two billion, one hundred eleven million, one hundred thirty-one thousand, one hundred one".

Divisors: 1 31 617 659 877 941 19127 20429 27187 29171 406603 541109 577943 580597 620119 825257 12604693 16774379 17916233 17998507 19223689 25582967 356590831 382613423 509183569 543844363 11054315761 11861016113 15784690639 16859175253 335551971971 10402111131101