Search a number
-
+
271012000210172 = 2213731372572027723
BaseRepresentation
bin111101100111101111100110…
…000000001001110011111100
31022112120111100021012002111122
4331213233212000021303330
5241010230034023211142
62400221105533410112
7111040654002660224
oct7547574600116374
91275514307162448
10271012000210172
11793975a8939931
122648bb36639938
13b82b42546a7a0
144acd09d567084
15214e99daae1d2
hexf67be6009cfc

271012000210172 has 96 divisors (see below), whose sum is σ = 523558758566592. Its totient is φ = 121991908294656.

The previous prime is 271012000210157. The next prime is 271012000210271.

271012000210172 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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, 132639503 + ... + 134667225.

It is an arithmetic number, because the mean of its divisors is an integer number (5453737068402).

Almost surely, 2271012000210172 is an apocalyptic number.

It is an amenable number.

271012000210172 is a deficient number, since it is larger than the sum of its proper divisors (252546758356420).

271012000210172 is a wasteful number, since it uses less digits than its factorization.

271012000210172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028207 (or 2028205 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 26.

It can be divided in two parts, 271012000 and 210172, that added together give a palindrome (271222172).

The spelling of 271012000210172 in words is "two hundred seventy-one trillion, twelve billion, two hundred ten thousand, one hundred seventy-two".

Divisors: 1 2 4 13 26 52 73 137 146 257 274 292 514 548 949 1028 1781 1898 3341 3562 3796 6682 7124 10001 13364 18761 20002 35209 37522 40004 70418 75044 130013 140836 243893 260026 457717 487786 520052 915434 975572 1830868 2027723 2570257 4055446 5140514 8110892 10281028 26360399 33413341 52720798 66826682 105441596 133653364 148023779 277798051 296047558 521124811 555596102 592095116 1042249622 1111192204 1924309127 2084499244 3611374663 3848618254 6774622543 7222749326 7697236508 13549245086 14445498652 20279257723 27098490172 38042111203 40558515446 71394099107 76084222406 81117030892 142788198214 152168444812 263630350399 285576396428 494547445639 527260700798 928123288391 989094891278 1054521401596 1856246576782 1978189782556 3712493153564 5211769234811 10423538469622 20847076939244 67753000052543 135506000105086 271012000210172