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10411330032 = 2433113271787
BaseRepresentation
bin10011011001001000…
…00100100111110000
3222212120202100212000
421230210010213300
5132310300030112
64441034534000
7516000562605
oct115444044760
928776670760
1010411330032
114462a19394
122026897300
13c9bc97b1c
1470aa366ac
1540e05d7dc
hex26c9049f0

10411330032 has 160 divisors (see below), whose sum is σ = 30298536960. Its totient is φ = 3422684160.

The previous prime is 10411330031. The next prime is 10411330073. The reversal of 10411330032 is 23003311401.

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 = 10411329987 and 10411330014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10411330031) 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, 13228743 + ... + 13229529.

It is an arithmetic number, because the mean of its divisors is an integer number (189365856).

Almost surely, 210411330032 is an apocalyptic number.

10411330032 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 10411330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15149268480).

10411330032 is an abundant number, since it is smaller than the sum of its proper divisors (19887206928).

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

10411330032 is a wasteful number, since it uses less digits than its factorization.

10411330032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10411330032 its reverse (23003311401), we get a palindrome (33414641433).

The spelling of 10411330032 in words is "ten billion, four hundred eleven million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 113 144 216 226 271 339 432 452 542 678 787 813 904 1017 1084 1356 1574 1626 1808 2034 2168 2361 2439 2712 3051 3148 3252 4068 4336 4722 4878 5424 6102 6296 6504 7083 7317 8136 9444 9756 12204 12592 13008 14166 14634 16272 18888 19512 21249 24408 28332 29268 30623 37776 39024 42498 48816 56664 58536 61246 84996 88931 91869 113328 117072 122492 169992 177862 183738 213277 244984 266793 275607 339984 355724 367476 426554 489968 533586 551214 639831 711448 734952 800379 826821 853108 1067172 1102428 1279662 1422896 1469904 1600758 1653642 1706216 1919493 2134344 2204856 2401137 2559324 3201516 3307284 3412432 3838986 4268688 4409712 4802274 5118648 5758479 6403032 6614568 7677972 9604548 10237296 11516958 12806064 13229136 15355944 19209096 23033916 24100301 30711888 38418192 46067832 48200602 72300903 92135664 96401204 144601806 192802408 216902709 289203612 385604816 433805418 578407224 650708127 867610836 1156814448 1301416254 1735221672 2602832508 3470443344 5205665016 10411330032