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4102022023100 = 2252671815995647
BaseRepresentation
bin111011101100010011100…
…100001100011110111100
3112112011000222010110102022
4323230103210030132330
51014201420114214400
612420235400015312
7602234633616521
oct73542344143674
915464028113368
104102022023100
111341726546641
12562bbaa61538
13239a854c3741
14102778b4d148
1571a829a7b85
hex3bb1390c7bc

4102022023100 has 144 divisors (see below), whose sum is σ = 9100934169600. Its totient is φ = 1604421561600.

The previous prime is 4102022023097. The next prime is 4102022023111. The reversal of 4102022023100 is 13202202014.

It is a super-2 number, since 2×41020220231002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 726404477 + ... + 726410123.

Almost surely, 24102022023100 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 4102022023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550467084800).

4102022023100 is an abundant number, since it is smaller than the sum of its proper divisors (4998912146500).

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

4102022023100 is a wasteful number, since it uses less digits than its factorization.

4102022023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6508 (or 6501 counting only the distinct ones).

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

Adding to 4102022023100 its reverse (13202202014), we get a palindrome (4115224225114).

The spelling of 4102022023100 in words is "four trillion, one hundred two billion, twenty-two million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 181 268 335 362 599 670 724 905 1198 1340 1675 1810 2396 2995 3350 3620 4525 5647 5990 6700 9050 11294 11980 12127 14975 18100 22588 24254 28235 29950 40133 48508 56470 59900 60635 80266 108419 112940 121270 141175 160532 200665 216838 242540 282350 303175 378349 401330 433676 542095 564700 606350 756698 802660 1003325 1022107 1084190 1212700 1513396 1891745 2006650 2044214 2168380 2710475 3382553 3783490 4013300 4088428 5110535 5420950 6765106 7264073 7566980 9458725 10221070 10841900 13530212 14528146 16912765 18917450 20442140 25552675 29056292 33825530 36320365 37834900 51105350 67651060 68481169 72640730 84563825 102210700 136962338 145281460 169127650 181601825 226631051 273924676 338255300 342405845 363203650 453262102 612242093 684811690 726407300 906524204 1133155255 1224484186 1369623380 1712029225 2266310510 2448968372 3061210465 3424058450 4532621020 5665776275 6122420930 6848116900 11331552550 12244841860 15306052325 22663105100 30612104650 41020220231 61224209300 82040440462 164080880924 205101101155 410202202310 820404404620 1025505505775 2051011011550 4102022023100