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20104152300 = 223252179124793
BaseRepresentation
bin10010101110010011…
…010000010011101100
31220220002111202100100
4102232103100103230
5312133130333200
613122525431100
71311125321631
oct225623202354
956802452310
1020104152300
1185872a7201
123a90a0b490
131b8514340b
14d8a078188
157c9e90d00
hex4ae4d04ec

20104152300 has 108 divisors (see below), whose sum is σ = 63367897320. Its totient is φ = 5331114240.

The previous prime is 20104152293. The next prime is 20104152311. The reversal of 20104152300 is 325140102.

20104152300 is a `hidden beast` number, since 20 + 1 + 0 + 415 + 230 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98704 + ... + 223496.

It is an arithmetic number, because the mean of its divisors is an integer number (586739790).

Almost surely, 220104152300 is an apocalyptic number.

20104152300 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 20104152300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31683948660).

20104152300 is an abundant number, since it is smaller than the sum of its proper divisors (43263745020).

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

20104152300 is a wasteful number, since it uses less digits than its factorization.

20104152300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124992 (or 124982 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 20104152300 its reverse (325140102), we get a palindrome (20429292402).

The spelling of 20104152300 in words is "twenty billion, one hundred four million, one hundred fifty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 179 180 225 300 358 450 537 716 895 900 1074 1611 1790 2148 2685 3222 3580 4475 5370 6444 8055 8950 10740 13425 16110 17900 26850 32220 40275 53700 80550 124793 161100 249586 374379 499172 623965 748758 1123137 1247930 1497516 1871895 2246274 2495860 3119825 3743790 4492548 5615685 6239650 7487580 9359475 11231370 12479300 18718950 22337947 22462740 28078425 37437900 44675894 56156850 67013841 89351788 111689735 112313700 134027682 201041523 223379470 268055364 335069205 402083046 446758940 558448675 670138410 804166092 1005207615 1116897350 1340276820 1675346025 2010415230 2233794700 3350692050 4020830460 5026038075 6701384100 10052076150 20104152300