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110311130430 = 232519166338791
BaseRepresentation
bin110011010111100001…
…1100100010100111110
3101112201202212001002100
41212233003210110332
53301404122133210
6122402022205530
710653420065154
oct1465703442476
9345652761070
10110311130430
1142867836aa6
1219466b838a6
13a52cac3c57
1454a66533d4
152d095a45c0
hex19af0e453e

110311130430 has 96 divisors (see below), whose sum is σ = 302093475840. Its totient is φ = 27850599360.

The previous prime is 110311130429. The next prime is 110311130467. The reversal of 110311130430 is 34031113011.

110311130430 is a `hidden beast` number, since 1 + 103 + 1 + 1 + 130 + 430 = 666.

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

It is a congruent number.

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, 2824335 + ... + 2863125.

It is an arithmetic number, because the mean of its divisors is an integer number (3146807040).

Almost surely, 2110311130430 is an apocalyptic number.

110311130430 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 110311130430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151046737920).

110311130430 is an abundant number, since it is smaller than the sum of its proper divisors (191782345410).

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

110311130430 is a wasteful number, since it uses less digits than its factorization.

110311130430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40486 (or 40483 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 110311130430 its reverse (34031113011), we get a palindrome (144342243441).

The spelling of 110311130430 in words is "one hundred ten billion, three hundred eleven million, one hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1663 1710 3326 4989 8315 9978 14967 16630 24945 29934 31597 38791 49890 63194 74835 77582 94791 116373 149670 157985 189582 193955 232746 284373 315970 349119 387910 473955 568746 581865 698238 737029 947910 1163730 1421865 1474058 1745595 2211087 2843730 3491190 3685145 4422174 6633261 7370290 11055435 13266522 22110870 33166305 64509433 66332610 129018866 193528299 322547165 387056598 580584897 645094330 967641495 1161169794 1225679227 1935282990 2451358454 2902924485 3677037681 5805848970 6128396135 7354075362 11031113043 12256792270 18385188405 22062226086 36770376810 55155565215 110311130430