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20232302033100 = 22352229631466723
BaseRepresentation
bin1001001100110101100110…
…01011001111100011001100
32122122012002220201111021110
410212122303023033203030
510122441223310024400
6111010331412532020
74155510206514333
oct446326313174314
978565086644243
1020232302033100
1164a0520051863
1223291a5021010
13b39b898a2661
144dd36a3c4d1a
1525144e0a7e50
hex1266b32cf8cc

20232302033100 has 144 divisors (see below), whose sum is σ = 58887724555520. Its totient is φ = 5363195846400.

The previous prime is 20232302033071. The next prime is 20232302033149. The reversal of 20232302033100 is 133020323202.

It is a super-2 number, since 2×202323020331002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43116339 + ... + 43583061.

Almost surely, 220232302033100 is an apocalyptic number.

20232302033100 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 20232302033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29443862277760).

20232302033100 is an abundant number, since it is smaller than the sum of its proper divisors (38655422522420).

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

20232302033100 is a wasteful number, since it uses less digits than its factorization.

20232302033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467600 (or 467593 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 20232302033100 its reverse (133020323202), we get a palindrome (20365322356302).

The spelling of 20232302033100 in words is "twenty trillion, two hundred thirty-two billion, three hundred two million, thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 229 300 458 631 687 916 1145 1262 1374 1893 2290 2524 2748 3155 3435 3786 4580 5725 6310 6870 7572 9465 11450 12620 13740 15775 17175 18930 22900 31550 34350 37860 47325 63100 68700 94650 144499 189300 288998 433497 466723 577996 722495 866994 933446 1400169 1444990 1733988 1866892 2167485 2333615 2800338 2889980 3612475 4334970 4667230 5600676 7000845 7224950 8669940 9334460 10837425 11668075 14001690 14449900 21674850 23336150 28003380 35004225 43349700 46672300 70008450 106879567 140016900 213759134 294502213 320638701 427518268 534397835 589004426 641277402 883506639 1068795670 1178008852 1282554804 1472511065 1603193505 1767013278 2137591340 2671989175 2945022130 3206387010 3534026556 4417533195 5343978350 5890044260 6412774020 7362555325 8015967525 8835066390 10687956700 14725110650 16031935050 17670132780 22087665975 29450221300 32063870100 44175331950 67441006777 88350663900 134882013554 202323020331 269764027108 337205033885 404646040662 674410067770 809292081324 1011615101655 1348820135540 1686025169425 2023230203310 3372050338850 4046460406620 5058075508275 6744100677700 10116151016550 20232302033100