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1120002121110 = 235611794317933
BaseRepresentation
bin10000010011000101010…
…101000001110110010110
310222001220212120210121010
4100103011111001312112
5121322231020333420
62214304420233050
7143626460644305
oct20230525016626
93861825523533
101120002121110
113a1a98aa96a4
1216109253b786
1381800a464b2
143c2cbb8243c
151e2019da4e0
hex104c5541d96

1120002121110 has 128 divisors (see below), whose sum is σ = 2754055157760. Its totient is φ = 291415334400.

The previous prime is 1120002121109. The next prime is 1120002121181. The reversal of 1120002121110 is 111212000211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141178704 + ... + 141186636.

It is an arithmetic number, because the mean of its divisors is an integer number (21516055920).

Almost surely, 21120002121110 is an apocalyptic number.

1120002121110 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 1120002121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377027578880).

1120002121110 is an abundant number, since it is smaller than the sum of its proper divisors (1634053036650).

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

1120002121110 is a wasteful number, since it uses less digits than its factorization.

1120002121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8614.

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

Adding to 1120002121110 its reverse (111212000211), we get a palindrome (1231214121321).

The spelling of 1120002121110 in words is "one trillion, one hundred twenty billion, two million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 179 183 305 358 366 431 537 610 862 895 915 1074 1293 1790 1830 2155 2586 2685 4310 5370 6465 7933 10919 12930 15866 21838 23799 26291 32757 39665 47598 52582 54595 65514 77149 78873 79330 109190 118995 131455 154298 157746 163785 231447 237990 262910 327570 385745 394365 462894 483913 771490 788730 967826 1157235 1420007 1451739 2314470 2419565 2840014 2903478 3419123 4260021 4706089 4839130 6838246 7100035 7258695 8520042 9412178 10257369 14118267 14200070 14517390 17095615 20514738 21300105 23530445 28236534 34191230 42600210 47060890 51286845 70591335 86620427 102573690 141182670 173240854 208566503 259861281 417133006 433102135 519722562 612023017 625699509 866204270 1042832515 1224046034 1251399018 1299306405 1836069051 2085665030 2598612810 3060115085 3128497545 3672138102 6120230170 6256995090 9180345255 18360690510 37333404037 74666808074 112000212111 186667020185 224000424222 373334040370 560001060555 1120002121110