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1002122000110 = 257211613047909
BaseRepresentation
bin11101001010100110010…
…00000011011011101110
310112210122121100012101201
432211103020003123232
5112404321213000420
62044211332200114
7132254342312200
oct16452310033356
93483577305351
101002122000110
11356aa781aaa0
1214227476903a
1373665aba2ca
14367081bc770
151b102bc710a
hexe9532036ee

1002122000110 has 96 divisors (see below), whose sum is σ = 2326603811040. Its totient is φ = 307229126400.

The previous prime is 1002122000107. The next prime is 1002122000137. The reversal of 1002122000110 is 110002212001.

1002122000110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1195165 + ... + 1852744.

It is an arithmetic number, because the mean of its divisors is an integer number (24235456365).

Almost surely, 21002122000110 is an apocalyptic number.

1002122000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002122000110 is an abundant number, since it is smaller than the sum of its proper divisors (1324481810930).

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

1002122000110 is a wasteful number, since it uses less digits than its factorization.

1002122000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048002 (or 3047995 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1002122000110 its reverse (110002212001), we get a palindrome (1112124212111).

The spelling of 1002122000110 in words is "one trillion, two billion, one hundred twenty-two million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 11 14 22 35 49 55 61 70 77 98 110 122 154 245 305 385 427 490 539 610 671 770 854 1078 1342 2135 2695 2989 3355 4270 4697 5390 5978 6710 9394 14945 23485 29890 32879 46970 65758 164395 328790 3047909 6095818 15239545 21335363 30479090 33526999 42670726 67053998 106676815 149347541 167634995 185922449 213353630 234688993 298695082 335269990 371844898 469377986 746737705 929612245 1173444965 1301457143 1493475410 1642822951 1859224490 2045146939 2346889930 2602914286 3285645902 4090293878 6507285715 8214114755 9110200001 10225734695 13014571430 14316028573 16428229510 18220400002 20451469390 28632057146 45551000005 71580142865 91102000010 100212200011 143160285730 200424400022 501061000055 1002122000110