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11003444130 = 2357617691117
BaseRepresentation
bin10100011111101101…
…10011101110100010
31001101211220212200210
422033312303232202
5140013340203010
65015505554550
7536450506020
oct121766635642
931354825623
1011003444130
114737180488
122171045a56
1310648621b3
14765529710
1544601eb20
hex28fdb3ba2

11003444130 has 128 divisors (see below), whose sum is σ = 30743032320. Its totient is φ = 2468413440.

The previous prime is 11003444119. The next prime is 11003444143. The reversal of 11003444130 is 3144430011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11003444097 and 11003444106.

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, 9850332 + ... + 9851448.

It is an arithmetic number, because the mean of its divisors is an integer number (240179940).

Almost surely, 211003444130 is an apocalyptic number.

11003444130 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 11003444130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15371516160).

11003444130 is an abundant number, since it is smaller than the sum of its proper divisors (19739588190).

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

11003444130 is a wasteful number, since it uses less digits than its factorization.

11003444130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11003444130 its reverse (3144430011), we get a palindrome (14147874141).

The spelling of 11003444130 in words is "eleven billion, three million, four hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 105 122 183 210 305 366 427 610 769 854 915 1117 1281 1538 1830 2135 2234 2307 2562 3351 3845 4270 4614 5383 5585 6405 6702 7690 7819 10766 11170 11535 12810 15638 16149 16755 23070 23457 26915 32298 33510 39095 46909 46914 53830 68137 78190 80745 93818 117285 136274 140727 161490 204411 234545 234570 281454 328363 340685 408822 469090 476959 656726 681370 703635 858973 953918 985089 1022055 1407270 1430877 1641815 1717946 1970178 2044110 2384795 2576919 2861754 3283630 4294865 4769590 4925445 5153838 6012811 7154385 8589730 9850890 12025622 12884595 14308770 18038433 25769190 30064055 36076866 52397353 60128110 90192165 104794706 157192059 180384330 261986765 314384118 366781471 523973530 733562942 785960295 1100344413 1571920590 1833907355 2200688826 3667814710 5501722065 11003444130