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213100535000 = 2354671733677
BaseRepresentation
bin1100011001110111001…
…0000001110011011000
3202101001100020211001102
43012131302001303120
511442412214110000
6241521432010532
721252554442413
oct3063562016330
9671040224042
10213100535000
1182414773031
1235372b30a48
1317131491032
14a457d3ab7a
1558236343d5
hex319dc81cd8

213100535000 has 160 divisors (see below), whose sum is σ = 509814494640. Its totient is φ = 83459904000.

The previous prime is 213100534993. The next prime is 213100535029. The reversal of 213100535000 is 535001312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57953162 + ... + 57956838.

Almost surely, 2213100535000 is an apocalyptic number.

213100535000 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 213100535000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254907247320).

213100535000 is an abundant number, since it is smaller than the sum of its proper divisors (296713959640).

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

213100535000 is a wasteful number, since it uses less digits than its factorization.

213100535000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

Adding to 213100535000 its reverse (535001312), we get a palindrome (213635536312).

The spelling of 213100535000 in words is "two hundred thirteen billion, one hundred million, five hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 173 200 250 268 335 346 500 536 625 670 692 865 1000 1250 1340 1384 1675 1730 2500 2680 3350 3460 3677 4325 5000 6700 6920 7354 8375 8650 11591 13400 14708 16750 17300 18385 21625 23182 29416 33500 34600 36770 41875 43250 46364 57955 67000 73540 83750 86500 91925 92728 108125 115910 147080 167500 173000 183850 216250 231820 246359 289775 335000 367700 432500 459625 463640 492718 579550 636121 735400 865000 919250 985436 1159100 1231795 1272242 1448875 1838500 1970872 2298125 2318200 2463590 2544484 2897750 3180605 3677000 4596250 4927180 5088968 5795500 6158975 6361210 7244375 9192500 9854360 11591000 12317950 12722420 14488750 15903025 18385000 24635900 25444840 28977500 30794875 31806050 42620107 49271800 57955000 61589750 63612100 79515125 85240214 123179500 127224200 153974375 159030250 170480428 213100535 246359000 307948750 318060500 340960856 397575625 426201070 615897500 636121000 795151250 852402140 1065502675 1231795000 1590302500 1704804280 2131005350 3180605000 4262010700 5327513375 8524021400 10655026750 21310053500 26637566875 42620107000 53275133750 106550267500 213100535000