Search a number
-
+
1021202000010 = 2325127287931033
BaseRepresentation
bin11101101110001000110…
…00011110100010001010
310121121220022201121202200
432313010120132202022
5113212410203000020
62101044514541030
7133531223531103
oct16670430364212
93547808647680
101021202000010
113640a89a7355
12145aba597776
13753b69b808a
14375d821d3aa
151b86ccb5590
hexedc461e88a

1021202000010 has 96 divisors (see below), whose sum is σ = 2677047459840. Its totient is φ = 270073730304.

The previous prime is 1021202000009. The next prime is 1021202000041. The reversal of 1021202000010 is 100002021201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1021201999956 and 1021202000001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32891454 + ... + 32922486.

It is an arithmetic number, because the mean of its divisors is an integer number (27885911040).

Almost surely, 21021202000010 is an apocalyptic number.

1021202000010 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 1021202000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338523729920).

1021202000010 is an abundant number, since it is smaller than the sum of its proper divisors (1655845459830).

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

1021202000010 is a wasteful number, since it uses less digits than its factorization.

1021202000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34052 (or 34049 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1021202000010 its reverse (100002021201), we get a palindrome (1121204021211).

The spelling of 1021202000010 in words is "one trillion, twenty-one billion, two hundred two million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1270 1905 2286 2879 3810 5715 5758 8637 11430 14395 17274 25911 28790 31033 43185 51822 62066 86370 93099 129555 155165 186198 259110 279297 310330 365633 465495 558594 731266 930990 1096899 1396485 1828165 2193798 2792970 3290697 3656330 3941191 5484495 6581394 7882382 10968990 11823573 16453485 19705955 23647146 32906970 35470719 39411910 59117865 70941438 89344007 118235730 177353595 178688014 268032021 354707190 446720035 536064042 804096063 893440070 1340160105 1608192126 2680320210 4020480315 8040960630 11346688889 22693377778 34040066667 56733444445 68080133334 102120200001 113466888890 170200333335 204240400002 340400666670 510601000005 1021202000010