Search a number
-
+
111012002021082 = 231719831016833083
BaseRepresentation
bin11001001111011011111110…
…111100100011111011011010
3112120001122101021220001100110
4121033123332330203323122
5104022310040004133312
61032034113143145150
732245231620000651
oct3117337674437332
9476048337801313
10111012002021082
113240aa20078178
121054aa52a451b6
1349c3504c5b706
141d5b01c370198
15cc7a2499843c
hex64f6fef23eda

111012002021082 has 128 divisors (see below), whose sum is σ = 252918131235840. Its totient is φ = 32274012902400.

The previous prime is 111012002021009. The next prime is 111012002021083. The reversal of 111012002021082 is 280120200210111.

It is not an unprimeable number, because it can be changed into a prime (111012002021083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12829713 + ... + 19662795.

It is an arithmetic number, because the mean of its divisors is an integer number (1975922900280).

Almost surely, 2111012002021082 is an apocalyptic number.

111012002021082 is an abundant number, since it is smaller than the sum of its proper divisors (141906129214758).

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

111012002021082 is a wasteful number, since it uses less digits than its factorization.

111012002021082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6833308.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 111012002021082 its reverse (280120200210111), we get a palindrome (391132202231193).

The spelling of 111012002021082 in words is "one hundred eleven trillion, twelve billion, two million, twenty-one thousand, eighty-two".

Divisors: 1 2 3 6 17 19 34 38 51 57 83 101 102 114 166 202 249 303 323 498 606 646 969 1411 1577 1717 1919 1938 2822 3154 3434 3838 4233 4731 5151 5757 8383 8466 9462 10302 11514 16766 25149 26809 32623 50298 53618 65246 80427 97869 142511 159277 160854 195738 285022 318554 427533 477831 855066 955662 2707709 5415418 6833083 8123127 13666166 16246254 20499249 40998498 116162411 129828577 232324822 259657154 348487233 389485731 567145889 690141383 696974466 778971462 1134291778 1380282766 1701437667 2070424149 2207085809 3402875334 4140848298 4414171618 6621257427 9641480113 10775771891 11732403511 13112686277 13242514854 19282960226 21551543782 23464807022 26225372554 28924440339 32327315673 35197210533 39338058831 57281734789 57848880678 64654631346 70394421066 78676117662 114563469578 171845204367 183188122147 222915666709 343690408734 366376244294 445831333418 549564366441 668747000127 973789491413 1088352960991 1099128732882 1337494000254 1947578982826 2176705921982 2921368474239 3265058882973 5842736948478 6530117765946 18502000336847 37004000673694 55506001010541 111012002021082