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11041133004 = 22341117182233
BaseRepresentation
bin10100100100001101…
…00101000111001100
31001111110211200010000
422102012211013030
5140103012224004
65023333444300
7540416040066
oct122206450714
931443750100
1011041133004
114756482710
1221817a0690
13106c5c9ac5
1476a53a736
154494b6c39
hex2921a51cc

11041133004 has 120 divisors (see below), whose sum is σ = 33340074768. Its totient is φ = 3148968960.

The previous prime is 11041132979. The next prime is 11041133009. The reversal of 11041133004 is 40033114011.

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

It is not an unprimeable number, because it can be changed into a prime (11041133009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30529 + ... + 151704.

Almost surely, 211041133004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11041133004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16670037384).

11041133004 is an abundant number, since it is smaller than the sum of its proper divisors (22298941764).

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

11041133004 is a wasteful number, since it uses less digits than its factorization.

11041133004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182277 (or 182266 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11041133004 its reverse (40033114011), we get a palindrome (51074247015).

It can be divided in two parts, 110 and 41133004, that added together give a palindrome (41133114).

The spelling of 11041133004 in words is "eleven billion, forty-one million, one hundred thirty-three thousand, four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 81 99 102 108 132 153 162 187 198 204 297 306 324 374 396 459 561 594 612 748 891 918 1122 1188 1377 1683 1782 1836 2244 2754 3366 3564 5049 5508 6732 10098 15147 20196 30294 60588 182233 364466 546699 728932 1093398 1640097 2004563 2186796 3097961 3280194 4009126 4920291 6013689 6195922 6560388 8018252 9293883 9840582 12027378 12391844 14760873 18041067 18587766 19681164 24054756 27881649 29521746 34077571 36082134 37175532 54123201 55763298 59043492 68155142 72164268 83644947 102232713 108246402 111526596 136310284 162369603 167289894 204465426 216492804 250934841 306698139 324739206 334579788 408930852 501869682 613396278 649478412 920094417 1003739364 1226792556 1840188834 2760283251 3680377668 5520566502 11041133004