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42320131100 = 225213232515639
BaseRepresentation
bin100111011010011110…
…011111010000011100
311001020100210102000222
4213122132133100130
51143132423143400
631235215140512
73025506115262
oct473236372034
9131210712028
1042320131100
1116a47679965
128250b14738
133cb59556c0
14209679a432
15117a533185
hex9da79f41c

42320131100 has 144 divisors (see below), whose sum is σ = 103628367360. Its totient is φ = 14884320000.

The previous prime is 42320131081. The next prime is 42320131193. The reversal of 42320131100 is 113102324.

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, 7502081 + ... + 7507719.

It is an arithmetic number, because the mean of its divisors is an integer number (719641440).

Almost surely, 242320131100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42320131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51814183680).

42320131100 is an abundant number, since it is smaller than the sum of its proper divisors (61308236260).

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

42320131100 is a wasteful number, since it uses less digits than its factorization.

42320131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5940 (or 5933 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 42320131100 its reverse (113102324), we get a palindrome (42433233424).

The spelling of 42320131100 in words is "forty-two billion, three hundred twenty million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 251 260 299 325 460 502 575 598 650 1004 1150 1196 1255 1300 1495 2300 2510 2990 3263 5020 5639 5773 5980 6275 6526 7475 11278 11546 12550 13052 14950 16315 22556 23092 25100 28195 28865 29900 32630 56390 57730 65260 73307 75049 81575 112780 115460 129697 140975 144325 146614 150098 163150 259394 281950 288650 293228 300196 326300 366535 375245 518788 563900 577300 648485 733070 750490 1296970 1415389 1466140 1500980 1686061 1832675 1876225 2593940 2830778 3242425 3372122 3665350 3752450 5661556 6484850 6744244 7076945 7330700 7504900 8430305 12969700 14153890 16860610 18400057 28307780 32553947 33721220 35384725 36800114 42151525 65107894 70769450 73600228 84303050 92000285 130215788 141538900 162769735 168606100 184000570 325539470 368001140 423201311 460001425 651078940 813848675 846402622 920002850 1627697350 1692805244 1840005700 2116006555 3255394700 4232013110 8464026220 10580032775 21160065550 42320131100