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12101331000 = 23353112173753
BaseRepresentation
bin10110100010100101…
…11010100000111000
31011020100210022100110
423101102322200320
5144240420043000
65320445304320
7605611421253
oct132122724070
934210708313
1012101331000
11514a982100
1224188650a0
1311ab1530b5
1482b27809a
154ac5d9850
hex2d14ba838

12101331000 has 768 divisors, whose sum is σ = 45980887680. Its totient is φ = 2635776000.

The previous prime is 12101330993. The next prime is 12101331031. The reversal of 12101331000 is 13310121.

It is a super-2 number, since 2×121013310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 228326974 + ... + 228327026.

Almost surely, 212101331000 is an apocalyptic number.

12101331000 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 12101331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22990443840).

12101331000 is an abundant number, since it is smaller than the sum of its proper divisors (33879556680).

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

12101331000 is a wasteful number, since it uses less digits than its factorization.

12101331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12101331000 its reverse (13310121), we get a palindrome (12114641121).

The spelling of 12101331000 in words is "twelve billion, one hundred one million, three hundred thirty-one thousand".