Search a number
-
+
20311171800 = 2335234996997
BaseRepresentation
bin10010111010101000…
…111110001011011000
31221102112001102201020
4102322220332023120
5313044124444200
613155242522440
71316221053213
oct227250761330
957375042636
1020311171800
118683143aa7
123b2a206420
131bb8cb776a
14da976677a
157dd234ea0
hex4baa3e2d8

20311171800 has 96 divisors (see below), whose sum is σ = 63145698000. Its totient is φ = 5400737280.

The previous prime is 20311171799. The next prime is 20311171807. The reversal of 20311171800 is 817111302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20311171807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160902 + ... + 257898.

Almost surely, 220311171800 is an apocalyptic number.

20311171800 is a gapful number since it is divisible by the number (20) 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 20311171800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31572849000).

20311171800 is an abundant number, since it is smaller than the sum of its proper divisors (42834526200).

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

20311171800 is a wasteful number, since it uses less digits than its factorization.

20311171800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97365 (or 97356 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

It can be divided in two parts, 203111 and 71800, that added together give a triangular number (274911 = T741).

The spelling of 20311171800 in words is "twenty billion, three hundred eleven million, one hundred seventy-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 349 600 698 1047 1396 1745 2094 2792 3490 4188 5235 6980 8376 8725 10470 13960 17450 20940 26175 34900 41880 52350 69800 96997 104700 193994 209400 290991 387988 484985 581982 775976 969970 1163964 1454955 1939940 2327928 2424925 2909910 3879880 4849850 5819820 7274775 9699700 11639640 14549550 19399400 29099100 33851953 58198200 67703906 101555859 135407812 169259765 203111718 270815624 338519530 406223436 507779295 677039060 812446872 846298825 1015558590 1354078120 1692597650 2031117180 2538896475 3385195300 4062234360 5077792950 6770390600 10155585900 20311171800