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1001012221110 = 2351117315755921
BaseRepresentation
bin11101001000100001111…
…10100101010010110110
310112200210021002120210210
432210100332211102312
5112400033112033420
62043505245530250
7132215005326666
oct16442076452266
93480707076723
101001012221110
11356588336670
12142004b73986
1373519bc4545
1436640a561a6
151b08a55d9e0
hexe910fa54b6

1001012221110 has 128 divisors (see below), whose sum is σ = 2864515166208. Its totient is φ = 221027328000.

The previous prime is 1001012221073. The next prime is 1001012221123. The reversal of 1001012221110 is 111222101001.

1001012221110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2704051 + ... + 3051870.

It is an arithmetic number, because the mean of its divisors is an integer number (22379024736).

Almost surely, 21001012221110 is an apocalyptic number.

1001012221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001012221110 is an abundant number, since it is smaller than the sum of its proper divisors (1863502945098).

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

1001012221110 is a wasteful number, since it uses less digits than its factorization.

1001012221110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5755990.

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

Adding to 1001012221110 its reverse (111222101001), we get a palindrome (1112234322111).

The spelling of 1001012221110 in words is "one trillion, one billion, twelve million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 31 33 34 51 55 62 66 85 93 102 110 155 165 170 186 187 255 310 330 341 374 465 510 527 561 682 930 935 1023 1054 1122 1581 1705 1870 2046 2635 2805 3162 3410 5115 5270 5610 5797 7905 10230 11594 15810 17391 28985 34782 57970 86955 173910 5755921 11511842 17267763 28779605 34535526 57559210 63315131 86338815 97850657 126630262 172677630 178433551 189945393 195701314 293551971 316575655 356867102 379890786 489253285 535300653 587103942 633151310 892167755 949726965 978506570 1070601306 1076357227 1467759855 1784335510 1899453930 1962769061 2152714454 2676503265 2935519710 3033370367 3229071681 3925538122 5353006530 5381786135 5888307183 6066740734 6458143362 9100111101 9813845305 10763572270 11776614366 15166851835 16145358405 18200222202 19627690610 29441535915 30333703670 32290716810 33367074037 45500555505 58883071830 66734148074 91001111010 100101222111 166835370185 200202444222 333670740370 500506110555 1001012221110