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10200210331212 = 2232115910710933733
BaseRepresentation
bin1001010001101110101111…
…1010011101011001001100
31100010010112012021212111200
42110123223322131121030
52314110012321044322
633405524551145500
72101640502154656
oct224335372353114
940103465255450
1010200210331212
1132829808a4170
121188a51975290
1358cb4cc0b225
1427399b1216d6
1512a4e6ab28ac
hex946ebe9d64c

10200210331212 has 288 divisors, whose sum is σ = 28906085295360. Its totient is φ = 3006625789440.

The previous prime is 10200210331189. The next prime is 10200210331277. The reversal of 10200210331212 is 21213301200201.

10200210331212 is a `hidden beast` number, since 10 + 200 + 210 + 3 + 31 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2732441298 + ... + 2732445030.

It is an arithmetic number, because the mean of its divisors is an integer number (100368351720).

Almost surely, 210200210331212 is an apocalyptic number.

10200210331212 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 10200210331212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14453042647680).

10200210331212 is an abundant number, since it is smaller than the sum of its proper divisors (18705874964148).

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

10200210331212 is a wasteful number, since it uses less digits than its factorization.

10200210331212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5013 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10200210331212 its reverse (21213301200201), we get a palindrome (31413511531413).

The spelling of 10200210331212 in words is "ten trillion, two hundred billion, two hundred ten million, three hundred thirty-one thousand, two hundred twelve".