Search a number
-
+
100161006010001 = 3119350393322273
BaseRepresentation
bin10110110001100010001101…
…001011101111111010010001
3111010122022001201112021120022
4112301202031023233322101
5101112014220014310001
6553005155252153225
730045252046510226
oct2661421513577221
9433568051467508
10100161006010001
1129a07053778562
12b297a5a308815
1343b71b0945451
141aa3b6619994d
15b8a63e72911b
hex5b188d2efe91

100161006010001 has 16 divisors (see below), whose sum is σ = 103948372039680. Its totient is φ = 96408612495360.

The previous prime is 100161006009979. The next prime is 100161006010057. The reversal of 100161006010001 is 100010600161001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100161006010001 is a prime.

It is a super-2 number, since 2×1001610060100012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100161006010061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28487201 + ... + 31809473.

It is an arithmetic number, because the mean of its divisors is an integer number (6496773252480).

Almost surely, 2100161006010001 is an apocalyptic number.

It is an amenable number.

100161006010001 is a deficient number, since it is larger than the sum of its proper divisors (3787366029679).

100161006010001 is a wasteful number, since it uses less digits than its factorization.

100161006010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327536.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 100161006010001 its reverse (100010600161001), we get a palindrome (200171606171002).

The spelling of 100161006010001 in words is "one hundred trillion, one hundred sixty-one billion, six million, ten thousand, one".

Divisors: 1 31 193 5039 5983 156209 972527 3322273 30148337 102990463 641198689 16740933647 19877159359 518968943057 3231000193871 100161006010001