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20231434300 = 22527116414099
BaseRepresentation
bin10010110101111000…
…110011000000111100
31221012222000100102111
4102311320303000330
5312413221344200
613143313503404
71314232232320
oct226570630074
957188010374
1020231434300
118642132040
123b07571b64
131ba56199cc
14d9cd2b980
157d62340ba
hex4b5e3303c

20231434300 has 144 divisors (see below), whose sum is σ = 54833990400. Its totient is φ = 6294528000.

The previous prime is 20231434291. The next prime is 20231434337. The reversal of 20231434300 is 343413202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4933651 + ... + 4937749.

It is an arithmetic number, because the mean of its divisors is an integer number (380791600).

Almost surely, 220231434300 is an apocalyptic number.

20231434300 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 20231434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27416995200).

20231434300 is an abundant number, since it is smaller than the sum of its proper divisors (34602556100).

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

20231434300 is a wasteful number, since it uses less digits than its factorization.

20231434300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 20231434300 its reverse (343413202), we get a palindrome (20574847502).

The spelling of 20231434300 in words is "twenty billion, two hundred thirty-one million, four hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 641 700 770 1100 1282 1540 1925 2564 3205 3850 4099 4487 6410 7051 7700 8198 8974 12820 14102 16025 16396 17948 20495 22435 28204 28693 32050 35255 40990 44870 45089 49357 57386 64100 70510 81980 89740 90178 98714 102475 112175 114772 141020 143465 176275 180356 197428 204950 224350 225445 246785 286930 315623 352550 409900 448700 450890 493570 573860 631246 705100 717325 901780 987140 1127225 1233925 1262492 1434650 1578115 2254450 2467850 2627459 2869300 3156230 4508900 4935700 5254918 6312460 7890575 10509836 13137295 15781150 18392213 26274590 28902049 31562300 36784426 52549180 57804098 65686475 73568852 91961065 115608196 131372950 144510245 183922130 202314343 262745900 289020490 367844260 404628686 459805325 578040980 722551225 809257372 919610650 1011571715 1445102450 1839221300 2023143430 2890204900 4046286860 5057858575 10115717150 20231434300