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109838530032 = 243711174717011
BaseRepresentation
bin110011001001011100…
…0101111010111110000
3101111111211120110012220
41212102320233113300
53244422130430112
6122243100521040
710635621046350
oct1462270572760
9344454513186
10109838530032
1142644a94360
1219354850180
13a485c1334a
14545d990b60
152cccd4e98c
hex1992e2f5f0

109838530032 has 160 divisors (see below), whose sum is σ = 353988962304. Its totient is φ = 28511481600.

The previous prime is 109838530031. The next prime is 109838530033. The reversal of 109838530032 is 230035838901.

It is an interprime number because it is at equal distance from previous prime (109838530031) and next prime (109838530033).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109838530031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6448407 + ... + 6465417.

Almost surely, 2109838530032 is an apocalyptic number.

109838530032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109838530032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176994481152).

109838530032 is an abundant number, since it is smaller than the sum of its proper divisors (244150432272).

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

109838530032 is a wasteful number, since it uses less digits than its factorization.

109838530032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18787 (or 18781 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 109838530032 in words is "one hundred nine billion, eight hundred thirty-eight million, five hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1747 1848 3494 3696 5241 6988 10482 12229 13976 17011 19217 20964 24458 27952 34022 36687 38434 41928 48916 51033 57651 68044 73374 76868 83856 97832 102066 115302 119077 134519 136088 146748 153736 187121 195664 204132 230604 238154 269038 272176 293496 307472 357231 374242 403557 408264 461208 476308 538076 561363 586992 714462 748484 807114 816528 922416 952616 1076152 1122726 1309847 1428924 1496968 1614228 1905232 2152304 2245452 2619694 2857848 2993936 3228456 3929541 4490904 5239388 5715696 6456912 7859082 8981808 10478776 15718164 20957552 29718217 31436328 59436434 62872656 89154651 118872868 178309302 208027519 237745736 326900387 356618604 416055038 475491472 624082557 653800774 713237208 832110076 980701161 1248165114 1307601548 1426474416 1664220152 1961402322 2288302709 2496330228 2615203096 3328440304 3922804644 4576605418 4992660456 5230406192 6864908127 7845609288 9153210836 9985320912 13729816254 15691218576 18306421672 27459632508 36612843344 54919265016 109838530032