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2210023042100 = 2252437128325579
BaseRepresentation
bin100000001010001111101…
…000110110110000110100
321211021110022020211101222
4200022033220312300310
5242202111344321400
64411134235405512
7315445300623116
oct40121750666064
97737408224358
102210023042100
117822a1434955
122b83982b3898
1313053427a993
1478d73bb13b6
153c74b362185
hex2028fa36c34

2210023042100 has 144 divisors (see below), whose sum is σ = 4994175352320. Its totient is φ = 848248329600.

The previous prime is 2210023042081. The next prime is 2210023042121. The reversal of 2210023042100 is 12403200122.

It is a super-2 number, since 2×22100230421002 (a number of 25 digits) contains 22 as substring.

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, 86387111 + ... + 86412689.

It is an arithmetic number, because the mean of its divisors is an integer number (34681773280).

Almost surely, 22210023042100 is an apocalyptic number.

2210023042100 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 2210023042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497087676160).

2210023042100 is an abundant number, since it is smaller than the sum of its proper divisors (2784152310220).

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

2210023042100 is a wasteful number, since it uses less digits than its factorization.

2210023042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25990 (or 25983 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 2210023042100 its reverse (12403200122), we get a palindrome (2222426242222).

The spelling of 2210023042100 in words is "two trillion, two hundred ten billion, twenty-three million, forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 71 86 100 142 172 215 283 284 355 430 566 710 860 1075 1132 1415 1420 1775 2150 2830 3053 3550 4300 5660 6106 7075 7100 12169 12212 14150 15265 20093 24338 25579 28300 30530 40186 48676 51158 60845 61060 76325 80372 100465 102316 121690 127895 152650 200930 243380 255790 304225 305300 401860 502325 511580 608450 639475 863999 1004650 1099897 1216900 1278950 1727998 1816109 2009300 2199794 2557900 3455996 3632218 4319995 4399588 5499485 7238857 7264436 8639990 9080545 10998970 14477714 17279980 18161090 21599975 21997940 27497425 28955428 36194285 36322180 43199950 45402725 54994850 72388570 78092687 86399900 90805450 109989700 144777140 156185374 180971425 181610900 311270851 312370748 361942850 390463435 513958847 622541702 723885700 780926870 1027917694 1245083404 1556354255 1561853740 1952317175 2055835388 2569794235 3112708510 3904634350 5139588470 6225417020 7781771275 7809268700 10279176940 12848971175 15563542550 22100230421 25697942350 31127085100 44200460842 51395884700 88400921684 110501152105 221002304210 442004608420 552505760525 1105011521050 2210023042100