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10030200432 = 2437218123561
BaseRepresentation
bin10010101011101100…
…01011011001110000
3221220000120222022220
421111312023121300
5131020212403212
64335142001040
7503362203600
oct112566133160
927800528286
1010030200432
11428787204a
121b3b116180
13c3b032755
146b2184c00
153da87638c
hex255d8b670

10030200432 has 120 divisors (see below), whose sum is σ = 30309591312. Its totient is φ = 2849817600.

The previous prime is 10030200419. The next prime is 10030200457. The reversal of 10030200432 is 23400203001.

10030200432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413932 + ... + 437492.

Almost surely, 210030200432 is an apocalyptic number.

10030200432 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 10030200432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15154795656).

10030200432 is an abundant number, since it is smaller than the sum of its proper divisors (20279390880).

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

10030200432 is a wasteful number, since it uses less digits than its factorization.

10030200432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23767 (or 23754 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10030200432 its reverse (23400203001), we get a palindrome (33430403433).

The spelling of 10030200432 in words is "ten billion, thirty million, two hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 181 196 294 336 362 392 543 588 724 784 1086 1176 1267 1448 2172 2352 2534 2896 3801 4344 5068 7602 8688 8869 10136 15204 17738 20272 23561 26607 30408 35476 47122 53214 60816 70683 70952 94244 106428 141366 141904 164927 188488 212856 282732 329854 376976 425712 494781 565464 659708 989562 1130928 1154489 1319416 1979124 2308978 2638832 3463467 3958248 4264541 4617956 6926934 7916496 8529082 9235912 12793623 13853868 17058164 18471824 25587246 27707736 29851787 34116328 51174492 55415472 59703574 68232656 89555361 102348984 119407148 179110722 204697968 208962509 238814296 358221444 417925018 477628592 626887527 716442888 835850036 1253775054 1432885776 1671700072 2507550108 3343400144 5015100216 10030200432