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1012012012110 = 2351119134746271
BaseRepresentation
bin11101011101000001001…
…11011101001001001110
310120202011212010212100110
432232200213131021032
5113040100033341420
62052524545340450
7133054413112341
oct16564047351116
93522155125313
101012012012110
11360212441430
12144174937726
1374580a77a08
1436da58b0458
151b4d10aaee0
hexeba09dd24e

1012012012110 has 128 divisors (see below), whose sum is σ = 2671237398528. Its totient is φ = 243343184000.

The previous prime is 1012012012073. The next prime is 1012012012129. The reversal of 1012012012110 is 112102102101.

It is a super-4 number, since 4×10120120121104 (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21848275 + ... + 21894545.

It is an arithmetic number, because the mean of its divisors is an integer number (20869042176).

Almost surely, 21012012012110 is an apocalyptic number.

1012012012110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012012012110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335618699264).

1012012012110 is an abundant number, since it is smaller than the sum of its proper divisors (1659225386418).

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

1012012012110 is a wasteful number, since it uses less digits than its factorization.

1012012012110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46830.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012012012110 its reverse (112102102101), we get a palindrome (1124114114211).

The spelling of 1012012012110 in words is "one trillion, twelve billion, twelve million, twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 191 330 347 382 573 694 955 1041 1146 1735 1910 2082 2101 2865 3470 3817 4202 5205 5730 6303 7634 10410 10505 11451 12606 19085 21010 22902 31515 38170 46271 57255 63030 66277 92542 114510 132554 138813 198831 231355 277626 331385 397662 462710 508981 662770 694065 729047 994155 1017962 1388130 1458094 1526943 1988310 2187141 2544905 3053886 3645235 4374282 5089810 7290470 7634715 8837761 10935705 15269430 16056037 17675522 21871410 26513283 32112074 44188805 48168111 53026566 80280185 88377610 96336222 97215371 132566415 160560370 176616407 194430742 240840555 265132830 291646113 353232814 481681110 486076855 529849221 583292226 883082035 972153710 1059698442 1458230565 1766164070 2649246105 2916461130 3066703067 5298492210 6133406134 9200109201 15333515335 18400218402 30667030670 33733733737 46000546005 67467467474 92001092010 101201201211 168668668685 202402402422 337337337370 506006006055 1012012012110