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20300114142 = 23271115196997
BaseRepresentation
bin10010111001111110…
…110010100011011110
31221101202020122110100
4102321332302203132
5313033312123032
613154205521530
71316025060150
oct227176624336
957352218410
1020300114142
118677981240
123b265732a6
131bb6915679
14da80c8ad0
157dc29d97c
hex4b9fb28de

20300114142 has 96 divisors (see below), whose sum is σ = 55200397824. Its totient is φ = 5237784000.

The previous prime is 20300114141. The next prime is 20300114201. The reversal of 20300114142 is 24141100302.

It is a super-3 number, since 3×203001141423 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20300114141) 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, 160788 + ... + 257784.

It is an arithmetic number, because the mean of its divisors is an integer number (575004144).

Almost surely, 220300114142 is an apocalyptic number.

20300114142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20300114142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27600198912).

20300114142 is an abundant number, since it is smaller than the sum of its proper divisors (34900283682).

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

20300114142 is a wasteful number, since it uses less digits than its factorization.

20300114142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97174 (or 97171 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20300114142 its reverse (24141100302), we get a palindrome (44441214444).

The spelling of 20300114142 in words is "twenty billion, three hundred million, one hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 151 154 198 231 302 453 462 693 906 1057 1359 1386 1661 2114 2718 3171 3322 4983 6342 9513 9966 11627 14949 19026 23254 29898 34881 69762 96997 104643 193994 209286 290991 581982 678979 872973 1066967 1357958 1745946 2036937 2133934 3200901 4073874 6110811 6401802 7468769 9602703 12221622 14646547 14937538 19205406 22406307 29293094 43939641 44812614 67218921 87879282 102525829 131818923 134437842 161112017 205051658 263637846 307577487 322224034 483336051 615154974 922732461 966672102 1127784119 1450008153 1845464922 2255568238 2900016306 3383352357 6766704714 10150057071 20300114142