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121131000 = 23325343313
BaseRepresentation
bin1110011100001…
…00111111111000
322102221002111100
413032010333320
5222002143000
620004131400
73000411414
oct716047770
9272832440
10121131000
1162414571
1234696b60
131c131963
1412131d44
15a97aa00
hex7384ff8

121131000 has 192 divisors, whose sum is σ = 420282720. Its totient is φ = 31449600.

The previous prime is 121130983. The next prime is 121131011. The reversal of 121131000 is 131121.

It is a super-2 number, since 2×1211310002 = 29345438322000000, which 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386844 + ... + 387156.

Almost surely, 2121131000 is an apocalyptic number.

121131000 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 121131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210141360).

121131000 is an abundant number, since it is smaller than the sum of its proper divisors (299151720).

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

121131000 is a wasteful number, since it uses less digits than its factorization.

121131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 121131000 is about 11005.9529346622. The cubic root of 121131000 is about 494.7871751147.

Adding to 121131000 its reverse (131121), we get a palindrome (121262121).

The spelling of 121131000 in words is "one hundred twenty-one million, one hundred thirty-one thousand".