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11003133020 = 22511295929231
BaseRepresentation
bin10100011111101011…
…00111110001011100
31001101211100001221012
422033311213301130
5140013300224040
65015455154352
7536445042005
oct121765476134
931354301835
1011003133020
114736a88770
122170b159b8
1310647836c9
147654881ac
15445eac865
hex28fd67c5c

11003133020 has 96 divisors (see below), whose sum is σ = 26519270400. Its totient is φ = 3797561600.

The previous prime is 11003133019. The next prime is 11003133103. The reversal of 11003133020 is 2033130011.

It is a junction number, because it is equal to n+sod(n) for n = 11003132986 and 11003133004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361805 + ... + 391035.

It is an arithmetic number, because the mean of its divisors is an integer number (276242400).

Almost surely, 211003133020 is an apocalyptic number.

11003133020 is a gapful number since it is divisible by the number (10) 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 11003133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13259635200).

11003133020 is an abundant number, since it is smaller than the sum of its proper divisors (15516137380).

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

11003133020 is a wasteful number, since it uses less digits than its factorization.

11003133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29339 (or 29337 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 11003133020 its reverse (2033130011), we get a palindrome (13036263031).

The spelling of 11003133020 in words is "eleven billion, three million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 59 110 116 118 145 220 236 290 295 319 580 590 638 649 1180 1276 1298 1595 1711 2596 3190 3245 3422 6380 6490 6844 8555 12980 17110 18821 29231 34220 37642 58462 75284 94105 116924 146155 188210 292310 321541 376420 584620 643082 847699 1286164 1607705 1695398 1724629 3215410 3390796 3449258 4238495 6430820 6898516 8476990 8623145 9324689 16953980 17246290 18649378 18970919 34492580 37298756 37941838 46623445 50014241 75883676 93246890 94854595 100028482 186493780 189709190 200056964 250071205 379418380 500142410 550156651 1000284820 1100313302 2200626604 2750783255 5501566510 11003133020