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11331033030 = 2335232716733
BaseRepresentation
bin10101000110110000…
…11101011111000110
31002020200100010012000
422203120131133012
5141201221024110
65112211210130
7550536122502
oct124330353706
932220303160
1011331033030
114895088909
1222428a6946
1310b769c695
14796c41302
15464b7d1c0
hex2a361d7c6

11331033030 has 128 divisors (see below), whose sum is σ = 31650877440. Its totient is φ = 2879141760.

The previous prime is 11331033017. The next prime is 11331033079. The reversal of 11331033030 is 3033013311.

11331033030 is a `hidden beast` number, since 1 + 1 + 331 + 0 + 330 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11331032994 and 11331033012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1679544 + ... + 1686276.

It is an arithmetic number, because the mean of its divisors is an integer number (247272480).

Almost surely, 211331033030 is an apocalyptic number.

11331033030 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 11331033030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15825438720).

11331033030 is an abundant number, since it is smaller than the sum of its proper divisors (20319844410).

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

11331033030 is a wasteful number, since it uses less digits than its factorization.

11331033030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7043 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 11331033030 its reverse (3033013311), we get a palindrome (14364046341).

The spelling of 11331033030 in words is "eleven billion, three hundred thirty-one million, thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 271 345 414 542 621 690 813 1035 1242 1355 1626 2070 2439 2710 3105 4065 4878 6210 6233 6733 7317 8130 12195 12466 13466 14634 18699 20199 24390 31165 33665 36585 37398 40398 56097 60597 62330 67330 73170 93495 100995 112194 121194 154859 168291 181791 186990 201990 280485 302985 309718 336582 363582 464577 560970 605970 774295 841455 908955 929154 1393731 1548590 1682910 1817910 1824643 2322885 2787462 3649286 4181193 4645770 5473929 6968655 8362386 9123215 10947858 13937310 16421787 18246430 20905965 27369645 32843574 41811930 41966789 49265361 54739290 82108935 83933578 98530722 125900367 164217870 209833945 246326805 251800734 377701101 419667890 492653610 629501835 755402202 1133103303 1259003670 1888505505 2266206606 3777011010 5665516515 11331033030