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20234335100 = 22527234432837
BaseRepresentation
bin10010110110000011…
…110111001101111100
31221020011110201120112
4102312003313031330
5312414442210400
613143500005152
71314266003420
oct226603671574
957204421515
1020234335100
1186438334a1
123b085307b8
131ba60c4165
14d9d484b80
157d6608835
hex4b60f737c

20234335100 has 144 divisors (see below), whose sum is σ = 52499639808. Its totient is φ = 6618543360.

The previous prime is 20234335091. The next prime is 20234335103. The reversal of 20234335100 is 153343202.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20234335103) 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, 7130882 + ... + 7133718.

It is an arithmetic number, because the mean of its divisors is an integer number (364580832).

Almost surely, 220234335100 is an apocalyptic number.

20234335100 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 20234335100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26249819904).

20234335100 is an abundant number, since it is smaller than the sum of its proper divisors (32265304708).

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

20234335100 is a wasteful number, since it uses less digits than its factorization.

20234335100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3324 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 20234335100 its reverse (153343202), we get a palindrome (20387678302).

The spelling of 20234335100 in words is "twenty billion, two hundred thirty-four million, three hundred thirty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 443 460 575 644 700 805 886 1150 1610 1772 2215 2300 2837 3101 3220 4025 4430 5674 6202 8050 8860 10189 11075 11348 12404 14185 15505 16100 19859 20378 22150 28370 31010 39718 40756 44300 50945 56740 62020 65251 70925 71323 77525 79436 99295 101890 130502 141850 142646 155050 198590 203780 254725 261004 283700 285292 310100 326255 356615 397180 456757 496475 509450 652510 713230 913514 992950 1018900 1256791 1305020 1426460 1631275 1783075 1827028 1985900 2283785 2513582 3262550 3566150 4567570 5027164 6283955 6525100 7132300 8797537 9135140 11418925 12567910 17595074 22837850 25135820 28906193 31419775 35190148 43987685 45675700 57812386 62839550 87975370 115624772 125679100 144530965 175950740 202343351 219938425 289061930 404686702 439876850 578123860 722654825 809373404 879753700 1011716755 1445309650 2023433510 2890619300 4046867020 5058583775 10117167550 20234335100