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11002001011120 = 245727139530041
BaseRepresentation
bin1010000000011001101001…
…0111001011000110110000
31102221210002100220120112101
42200012122113023012300
52420224044224323440
635222125520110144
72213603561406100
oct240063227130660
942853070816471
1011002001011120
113561a16827209
121298317a65354
1361a63ab636c2
142a06dd215200
151412c21bb69a
hexa019a5cb1b0

11002001011120 has 120 divisors (see below), whose sum is σ = 30175020380448. Its totient is φ = 3718986163200.

The previous prime is 11002001011117. The next prime is 11002001011151. The reversal of 11002001011120 is 2111010020011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11002001011097 and 11002001011106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19486701 + ... + 20043340.

Almost surely, 211002001011120 is an apocalyptic number.

11002001011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002001011120 is an abundant number, since it is smaller than the sum of its proper divisors (19173019369328).

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

11002001011120 is a wasteful number, since it uses less digits than its factorization.

11002001011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39530139 (or 39530126 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11002001011120 its reverse (2111010020011), we get a palindrome (13113011031131).

The spelling of 11002001011120 in words is "eleven trillion, two billion, one million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 71 80 98 112 140 142 196 245 280 284 355 392 490 497 560 568 710 784 980 994 1136 1420 1960 1988 2485 2840 3479 3920 3976 4970 5680 6958 7952 9940 13916 17395 19880 27832 34790 39760 55664 69580 139160 278320 39530041 79060082 158120164 197650205 276710287 316240328 395300410 553420574 632480656 790600820 1106841148 1383551435 1581201640 1936972009 2213682296 2767102870 2806632911 3162403280 3873944018 4427364592 5534205740 5613265822 7747888036 9684860045 11068411480 11226531644 14033164555 15495776072 19369720090 19646430377 22136822960 22453063288 28066329110 30991552144 38739440180 39292860754 44906126576 56132658220 77478880360 78585721508 98232151885 112265316440 137525012639 154957760720 157171443016 196464303770 224530632880 275050025278 314342886032 392928607540 550100050556 687625063195 785857215080 1100200101112 1375250126390 1571714430160 2200400202224 2750500252780 5501000505560 11002001011120