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10120341400 = 235213171012267
BaseRepresentation
bin10010110110011100…
…00010011110011000
3222010022012121111021
421123032002132120
5131211301411100
64352122012224
7505535324341
oct113316023630
928108177437
1010120341400
11432373a314
121b65347074
13c539038c0
146c012b0c8
153e372ea1a
hex25b382798

10120341400 has 192 divisors, whose sum is σ = 27107952480. Its totient is φ = 3480576000.

The previous prime is 10120341397. The next prime is 10120341401. The reversal of 10120341400 is 414302101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120341401) 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, 4463067 + ... + 4465333.

Almost surely, 210120341400 is an apocalyptic number.

10120341400 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 10120341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13553976240).

10120341400 is an abundant number, since it is smaller than the sum of its proper divisors (16987611080).

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

10120341400 is a wasteful number, since it uses less digits than its factorization.

10120341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10120341400 its reverse (414302101), we get a palindrome (10534643501).

The spelling of 10120341400 in words is "ten billion, one hundred twenty million, three hundred forty-one thousand, four hundred".