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100303410420 = 2232523310192347
BaseRepresentation
bin101110101101010001…
…1001001010011110100
3100120220022120012002200
41131122203021103310
53120410133113140
6114025002104500
710150416630663
oct1353243112364
9316808505080
10100303410420
11395a1729914
12175334ab130
1395c6632935
144bd7480dda
152920bbe030
hex175a8c94f4

100303410420 has 144 divisors (see below), whose sum is σ = 305989669440. Its totient is φ = 26595307008.

The previous prime is 100303410349. The next prime is 100303410463. The reversal of 100303410420 is 24014303001.

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 = 100303410393 and 100303410402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42735687 + ... + 42738033.

It is an arithmetic number, because the mean of its divisors is an integer number (2124928260).

Almost surely, 2100303410420 is an apocalyptic number.

100303410420 is a gapful number since it is divisible by the number (10) 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 100303410420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152994834720).

100303410420 is an abundant number, since it is smaller than the sum of its proper divisors (205686259020).

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

100303410420 is a wasteful number, since it uses less digits than its factorization.

100303410420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100303410420 its reverse (24014303001), we get a palindrome (124317713421).

The spelling of 100303410420 in words is "one hundred billion, three hundred three million, four hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233 466 699 932 1019 1165 1398 2038 2097 2330 2347 2796 3057 3495 4076 4194 4660 4694 5095 6114 6990 7041 8388 9171 9388 10190 10485 11735 12228 13980 14082 15285 18342 20380 20970 21123 23470 28164 30570 35205 36684 41940 42246 45855 46940 61140 70410 84492 91710 105615 140820 183420 211230 237427 422460 474854 546851 712281 949708 1093702 1187135 1424562 1640553 2136843 2187404 2374270 2391593 2734255 2849124 3281106 3561405 4273686 4748540 4783186 4921659 5468510 6562212 7122810 7174779 8202765 8547372 9566372 9843318 10684215 10937020 11957965 14245620 14349558 16405530 19686636 21368430 21524337 23915930 24608295 28699116 32811060 35873895 42736860 43048674 47831860 49216590 71747790 86097348 98433180 107621685 143495580 215243370 430486740 557241169 1114482338 1671723507 2228964676 2786205845 3343447014 5015170521 5572411690 6686894028 8358617535 10030341042 11144823380 16717235070 20060682084 25075852605 33434470140 50151705210 100303410420