Search a number
-
+
2023322132100 = 2235219939785369
BaseRepresentation
bin11101011100010111011…
…001011001111010000100
321011102112210112220201110
4131130113121121322010
5231122230431211400
64145300143125020
7266115544233213
oct35342731317204
97142483486643
102023322132100
117100a4660925
122881725a3770
13118a4c2a0039
146dd0207307a
153797071de50
hex1d717659e84

2023322132100 has 144 divisors (see below), whose sum is σ = 5898452336000. Its totient is φ = 535482731520.

The previous prime is 2023322132093. The next prime is 2023322132173. The reversal of 2023322132100 is 12312233202.

It is a happy 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, 23658216 + ... + 23743584.

Almost surely, 22023322132100 is an apocalyptic number.

2023322132100 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 2023322132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949226168000).

2023322132100 is an abundant number, since it is smaller than the sum of its proper divisors (3875130203900).

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

2023322132100 is a wasteful number, since it uses less digits than its factorization.

2023322132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85982 (or 85975 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2023322132100 its reverse (12312233202), we get a palindrome (2035634365302).

The spelling of 2023322132100 in words is "two trillion, twenty-three billion, three hundred twenty-two million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 199 300 397 398 597 794 796 995 1191 1194 1588 1985 1990 2382 2388 2985 3970 3980 4764 4975 5955 5970 7940 9925 9950 11910 11940 14925 19850 19900 23820 29775 29850 39700 59550 59700 79003 85369 119100 158006 170738 237009 256107 316012 341476 395015 426845 474018 512214 790030 853690 948036 1024428 1185045 1280535 1580060 1707380 1975075 2134225 2370090 2561070 3950150 4268450 4740180 5122140 5925225 6402675 7900300 8536900 11850450 12805350 16988431 23700900 25610700 33891493 33976862 50965293 67782986 67953724 84942155 101674479 101930586 135565972 169457465 169884310 203348958 203861172 254826465 338914930 339768620 406697916 424710775 508372395 509652930 677829860 847287325 849421550 1016744790 1019305860 1274132325 1694574650 1698843100 2033489580 2541861975 2548264650 3389149300 5083723950 5096529300 6744407107 10167447900 13488814214 20233221321 26977628428 33722035535 40466442642 67444071070 80932885284 101166106605 134888142140 168610177675 202332213210 337220355350 404664426420 505830533025 674440710700 1011661066050 2023322132100