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12941901700 = 22527132313529
BaseRepresentation
bin11000000110110010…
…11011111110000100
31020101221110201120121
430003121123332010
5203001111323300
65540113511324
7635466230560
oct140331337604
936357421517
1012941901700
115541403332
122612272544
1312b333c500
148aab646a0
1550b2c781a
hex30365bf84

12941901700 has 216 divisors, whose sum is σ = 35886036480. Its totient is φ = 3962649600.

The previous prime is 12941901689. The next prime is 12941901701. The reversal of 12941901700 is 710914921.

12941901700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×129419017002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12941901701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3665536 + ... + 3669064.

Almost surely, 212941901700 is an apocalyptic number.

12941901700 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 12941901700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17943018240).

12941901700 is an abundant number, since it is smaller than the sum of its proper divisors (22944134780).

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

12941901700 is a wasteful number, since it uses less digits than its factorization.

12941901700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 34.

The spelling of 12941901700 in words is "twelve billion, nine hundred forty-one million, nine hundred one thousand, seven hundred".