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20311300000 = 2555238831
BaseRepresentation
bin10010111010101001…
…011101011110100000
31221102112021221120101
4102322221131132200
5313044143100000
613155245352144
71316222126035
oct227251353640
957375257511
1020311300000
118683221352
123b2a268654
131bb9030c14
14da979b38c
157dd25ce6a
hex4baa5d7a0

20311300000 has 144 divisors (see below), whose sum is σ = 52160661504. Its totient is φ = 7770400000.

The previous prime is 20311299997. The next prime is 20311300007. The reversal of 20311300000 is 311302.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 20311300000.

It is not an unprimeable number, because it can be changed into a prime (20311300007) 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, 2295585 + ... + 2304415.

It is an arithmetic number, because the mean of its divisors is an integer number (362226816).

Almost surely, 220311300000 is an apocalyptic number.

20311300000 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 20311300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26080330752).

20311300000 is an abundant number, since it is smaller than the sum of its proper divisors (31849361504).

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

20311300000 is an frugal number, since it uses more digits than its factorization.

20311300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8889 (or 8861 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 20311300000 its reverse (311302), we get a palindrome (20311611302).

It can be divided in two parts, 2031 and 1300000, that added together give a palindrome (1302031).

The spelling of 20311300000 in words is "twenty billion, three hundred eleven million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 625 736 800 920 1000 1150 1250 1840 2000 2300 2500 2875 3125 3680 4000 4600 5000 5750 6250 8831 9200 10000 11500 12500 14375 17662 18400 20000 23000 25000 28750 35324 44155 46000 50000 57500 70648 71875 88310 92000 100000 115000 141296 143750 176620 203113 220775 230000 282592 287500 353240 406226 441550 460000 575000 706480 812452 883100 1015565 1103875 1150000 1412960 1624904 1766200 2031130 2207750 2300000 3249808 3532400 4062260 4415500 5077825 5519375 6499616 7064800 8124520 8831000 10155650 11038750 16249040 17662000 20311300 22077500 25389125 27596875 32498080 35324000 40622600 44155000 50778250 55193750 81245200 88310000 101556500 110387500 126945625 162490400 176620000 203113000 220775000 253891250 406226000 441550000 507782500 634728125 812452000 883100000 1015565000 1269456250 2031130000 2538912500 4062260000 5077825000 10155650000 20311300000