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10200000231000 = 2332533373363007
BaseRepresentation
bin1001010001101101111101…
…1000111111011001011000
31100010002222112221200012100
42110123133120333121120
52314104100024343000
633405452044043400
72101632341302626
oct224333730773130
940102875850170
1010200000231000
113282883242828
1211889b3533560
1358cb18528888
1427397b270516
1512a4d3410a00
hex946df63f658

10200000231000 has 192 divisors, whose sum is σ = 34578313735680. Its totient is φ = 2711928038400.

The previous prime is 10200000230993. The next prime is 10200000231007. The reversal of 10200000231000 is 13200000201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10200000230993) and next prime (10200000231007).

It is a super-2 number, since 2×102000002310002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200000231007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1351497 + ... + 4714503.

It is an arithmetic number, because the mean of its divisors is an integer number (180095384040).

Almost surely, 210200000231000 is an apocalyptic number.

10200000231000 is a gapful number since it is divisible by the number (10) 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 10200000231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17289156867840).

10200000231000 is an abundant number, since it is smaller than the sum of its proper divisors (24378313504680).

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

10200000231000 is a wasteful number, since it uses less digits than its factorization.

10200000231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363371 (or 3363354 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10200000231000 its reverse (13200000201), we get a palindrome (10213200231201).

The spelling of 10200000231000 in words is "ten trillion, two hundred billion, two hundred thirty-one thousand".