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20113141752 = 23341121923587
BaseRepresentation
bin10010101110110101…
…100010111111111000
31220220201102110120000
4102232311202333320
5312142431014002
613123450233000
71311264612144
oct225665427770
956821373500
1020113141752
118591387100
123a93a25760
131b86c70012
14d8b338224
157cab6961c
hex4aed62ff8

20113141752 has 480 divisors, whose sum is σ = 68131324800. Its totient is φ = 5513650560.

The previous prime is 20113141739. The next prime is 20113141781. The reversal of 20113141752 is 25714131102.

It is a super-2 number, since 2×201131417522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34264003 + ... + 34264589.

It is an arithmetic number, because the mean of its divisors is an integer number (141940260).

Almost surely, 220113141752 is an apocalyptic number.

20113141752 is a gapful number since it is divisible by the number (22) 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 20113141752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34065662400).

20113141752 is an abundant number, since it is smaller than the sum of its proper divisors (48018183048).

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

20113141752 is a wasteful number, since it uses less digits than its factorization.

20113141752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 20113141752 its reverse (25714131102), we get a palindrome (45827272854).

The spelling of 20113141752 in words is "twenty billion, one hundred thirteen million, one hundred forty-one thousand, seven hundred fifty-two".