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11002003241400 = 23325210757123589
BaseRepresentation
bin1010000000011001101001…
…1111101011100110111000
31102221210002112002212220100
42200012122133223212320
52420224100312211100
635222130035555400
72213603616355263
oct240063237534670
942853075085810
1011002003241400
113561a1800a916
12129831875bb60
1361a63b4648b2
142a06dd635cda
151412c24ac400
hexa019a7eb9b8

11002003241400 has 144 divisors (see below), whose sum is σ = 37293706967400. Its totient is φ = 2906448157440.

The previous prime is 11002003241399. The next prime is 11002003241479. The reversal of 11002003241400 is 414230020011.

11002003241400 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 20 + 0 + 3 + 241 + 400 = 666.

11002003241400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110020032414002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28369195 + ... + 28754394.

Almost surely, 211002003241400 is an apocalyptic number.

11002003241400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002003241400 is an abundant number, since it is smaller than the sum of its proper divisors (26291703726000).

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

11002003241400 is a wasteful number, since it uses less digits than its factorization.

11002003241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57123718 (or 57123706 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11002003241400 its reverse (414230020011), we get a palindrome (11416233261411).

The spelling of 11002003241400 in words is "eleven trillion, two billion, three million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 107 120 150 180 200 214 225 300 321 360 428 450 535 600 642 856 900 963 1070 1284 1605 1800 1926 2140 2568 2675 3210 3852 4280 4815 5350 6420 7704 8025 9630 10700 12840 16050 19260 21400 24075 32100 38520 48150 64200 96300 192600 57123589 114247178 171370767 228494356 285617945 342741534 456988712 514112301 571235890 685483068 856853835 1028224602 1142471780 1370966136 1428089725 1713707670 2056449204 2284943560 2570561505 2856179450 3427415340 4112898408 4284269175 5141123010 5712358900 6112224023 6854830680 8568538350 10282246020 11424717800 12224448046 12852807525 17137076700 18336672069 20564492040 24448896092 25705615050 30561120115 34274153400 36673344138 48897792184 51411230100 55010016207 61122240230 73346688276 91683360345 102822460200 110020032414 122244480460 146693376552 152805600575 183366720690 220040064828 244488960920 275050081035 305611201150 366733441380 440080129656 458416801725 550100162070 611222402300 733466882760 916833603450 1100200324140 1222444804600 1375250405175 1833667206900 2200400648280 2750500810350 3667334413800 5501001620700 11002003241400