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20311301100 = 223521312572011
BaseRepresentation
bin10010111010101001…
…011101101111101100
31221102112022000002010
4102322221131233230
5313044143113400
613155245401220
71316222132166
oct227251355754
957375260063
1020311301100
118683222162
123b2a269210
131bb903157c
14da979b936
157dd25d450
hex4baa5dbec

20311301100 has 144 divisors (see below), whose sum is σ = 59475943296. Its totient is φ = 5351424000.

The previous prime is 20311301099. The next prime is 20311301107. The reversal of 20311301100 is 110311302.

It is a super-2 number, since 2×203113011002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20311301107) 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, 10099095 + ... + 10101105.

It is an arithmetic number, because the mean of its divisors is an integer number (413027384).

Almost surely, 220311301100 is an apocalyptic number.

20311301100 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 20311301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29737971648).

20311301100 is an abundant number, since it is smaller than the sum of its proper divisors (39164642196).

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

20311301100 is a wasteful number, since it uses less digits than its factorization.

20311301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 20311301100 its reverse (110311302), we get a palindrome (20421612402).

The spelling of 20311301100 in words is "twenty billion, three hundred eleven million, three hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 131 150 257 262 300 393 514 524 655 771 786 1028 1285 1310 1542 1572 1965 2011 2570 2620 3084 3275 3855 3930 4022 5140 6033 6425 6550 7710 7860 8044 9825 10055 12066 12850 13100 15420 19275 19650 20110 24132 25700 30165 33667 38550 39300 40220 50275 60330 67334 77100 100550 101001 120660 134668 150825 168335 201100 202002 263441 301650 336670 404004 505005 516827 526882 603300 673340 790323 841675 1010010 1033654 1053764 1317205 1550481 1580646 1683350 2020020 2067308 2525025 2584135 2634410 3100962 3161292 3366700 3951615 5050050 5168270 5268820 6201924 6586025 7752405 7903230 10100100 10336540 12920675 13172050 15504810 15806460 19758075 25841350 26344100 31009620 38762025 39516150 51682700 67704337 77524050 79032300 135408674 155048100 203113011 270817348 338521685 406226022 677043370 812452044 1015565055 1354086740 1692608425 2031130110 3385216850 4062260220 5077825275 6770433700 10155650550 20311301100