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35123412000 = 25353103157181
BaseRepresentation
bin100000101101100001…
…001011110000100000
310100122210220012101010
4200231201023300200
51033413043141000
624045132340520
72352251035035
oct405541136040
9110583805333
1035123412000
1113994283326
126982914740
133409973931
1419b2a7338c
15da880bd50
hex82d84bc20

35123412000 has 384 divisors, whose sum is σ = 117567410688. Its totient is φ = 9165312000.

The previous prime is 35123411993. The next prime is 35123412029. The reversal of 35123412000 is 21432153.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194051910 + ... + 194052090.

It is an arithmetic number, because the mean of its divisors is an integer number (306165132).

Almost surely, 235123412000 is an apocalyptic number.

35123412000 is a gapful number since it is divisible by the number (30) 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 35123412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58783705344).

35123412000 is an abundant number, since it is smaller than the sum of its proper divisors (82443998688).

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

35123412000 is a wasteful number, since it uses less digits than its factorization.

35123412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 35123412000 its reverse (21432153), we get a palindrome (35144844153).

The spelling of 35123412000 in words is "thirty-five billion, one hundred twenty-three million, four hundred twelve thousand".