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20315251100 = 225229431011613
BaseRepresentation
bin10010111010111000…
…100010000110011100
31221102210201200110102
4102322320202012130
5313101201013400
613155510200232
71316300533214
oct227270420634
957383650412
1020315251100
11868547a921
123b2b653078
131bb9ab5451
14daa109244
157dd78d9d5
hex4bae2219c

20315251100 has 144 divisors (see below), whose sum is σ = 47156044320. Its totient is φ = 7582848000.

The previous prime is 20315251097. The next prime is 20315251133. The reversal of 20315251100 is 115251302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12593894 + ... + 12595506.

It is an arithmetic number, because the mean of its divisors is an integer number (327472530).

Almost surely, 220315251100 is an apocalyptic number.

20315251100 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 20315251100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23578022160).

20315251100 is an abundant number, since it is smaller than the sum of its proper divisors (26840793220).

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

20315251100 is a wasteful number, since it uses less digits than its factorization.

20315251100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 20315251100 in words is "twenty billion, three hundred fifteen million, two hundred fifty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 43 50 58 86 100 101 116 145 172 202 215 290 404 430 505 580 725 860 1010 1075 1247 1450 1613 2020 2150 2494 2525 2900 2929 3226 4300 4343 4988 5050 5858 6235 6452 8065 8686 10100 11716 12470 14645 16130 17372 21715 24940 29290 31175 32260 40325 43430 46777 58580 62350 69359 73225 80650 86860 93554 108575 124700 125947 138718 146450 161300 162913 187108 217150 233885 251894 277436 292900 325826 346795 434300 467770 503788 629735 651652 693590 814565 935540 1169425 1259470 1387180 1629130 1733975 2011411 2338850 2518940 3148675 3258260 3467950 4022822 4072825 4677700 4724477 6297350 6935900 7005259 8045644 8145650 9448954 10057055 12594700 14010518 16291300 18897908 20114110 23622385 28021036 35026295 40228220 47244770 50285275 70052590 94489540 100570550 118111925 140105180 175131475 201141100 203152511 236223850 350262950 406305022 472447700 700525900 812610044 1015762555 2031525110 4063050220 5078812775 10157625550 20315251100