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10202000302212 = 2231729413126199
BaseRepresentation
bin1001010001110101011010…
…0110101010000010000100
31100010022010221102211002220
42110131112212222002010
52314122144034132322
633410422332332340
72102033035522215
oct224352646520204
940108127384086
1010202000302212
11328370a228944
1211892713140b0
135900769c9474
14273acab4740c
1512a59dcd955c
hex947569aa084

10202000302212 has 72 divisors (see below), whose sum is σ = 25314191918400. Its totient is φ = 3197225218560.

The previous prime is 10202000302157. The next prime is 10202000302237. The reversal of 10202000302212 is 21220300020201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10202000302191 and 10202000302200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1700289 + ... + 4826487.

Almost surely, 210202000302212 is an apocalyptic number.

10202000302212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202000302212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12657095959200).

10202000302212 is an abundant number, since it is smaller than the sum of its proper divisors (15112191616188).

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

10202000302212 is a wasteful number, since it uses less digits than its factorization.

10202000302212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127181 (or 3127162 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10202000302212 its reverse (21220300020201), we get a palindrome (31422300322413).

The spelling of 10202000302212 in words is "ten trillion, two hundred two billion, three hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 289 578 867 941 1156 1734 1882 2823 3468 3764 5646 11292 15997 31994 47991 63988 95982 191964 271949 543898 815847 1087796 1631694 3126199 3263388 6252398 9378597 12504796 18757194 37514388 53145383 106290766 159436149 212581532 318872298 637744596 903471511 1806943022 2710414533 2941753259 3613886044 5420829066 5883506518 8825259777 10841658132 11767013036 17650519554 35301039108 50009805403 100019610806 150029416209 200039221612 300058832418 600117664836 850166691851 1700333383702 2550500075553 3400666767404 5101000151106 10202000302212