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11132031330 = 23257127139133
BaseRepresentation
bin10100101111000010…
…10101000101100010
31001201210212210011200
422113201111011202
5140244300000310
65040342022030
7542601463560
oct122741250542
931653783150
1011132031330
1147a28179a2
1221a8117916
1310853a48b4
1477863ca30
1545246e9c0
hex297855162

11132031330 has 96 divisors (see below), whose sum is σ = 33338732544. Its totient is φ = 2524411008.

The previous prime is 11132031293. The next prime is 11132031347. The reversal of 11132031330 is 3313023111.

It is a happy number.

11132031330 is a `hidden beast` number, since 1 + 1 + 1 + 320 + 313 + 30 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10444 + ... + 149576.

It is an arithmetic number, because the mean of its divisors is an integer number (347278464).

Almost surely, 211132031330 is an apocalyptic number.

11132031330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132031330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16669366272).

11132031330 is an abundant number, since it is smaller than the sum of its proper divisors (22206701214).

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

11132031330 is a wasteful number, since it uses less digits than its factorization.

11132031330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139280 (or 139277 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11132031330 its reverse (3313023111), we get a palindrome (14445054441).

The spelling of 11132031330 in words is "eleven billion, one hundred thirty-two million, thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 127 210 254 315 381 630 635 762 889 1143 1270 1778 1905 2286 2667 3810 4445 5334 5715 8001 8890 11430 13335 16002 26670 40005 80010 139133 278266 417399 695665 834798 973931 1252197 1391330 1947862 2086995 2504394 2921793 4173990 4869655 5843586 6260985 8765379 9739310 12521970 14608965 17530758 17669891 29217930 35339782 43826895 53009673 87653790 88349455 106019346 123689237 159029019 176698910 247378474 265048365 318058038 371067711 530096730 618446185 742135422 795145095 1113203133 1236892370 1590290190 1855338555 2226406266 3710677110 5566015665 11132031330