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10333011040 = 2551110158129
BaseRepresentation
bin10011001111110010…
…10011110001100000
3222200010101100101121
421213321103301200
5132130222323130
64425200142024
7514030100422
oct114771236140
928603340347
1010333011040
114422796150
122004607914
13c889a5921
1470048a812
1540723cd7a
hex267e53c60

10333011040 has 96 divisors (see below), whose sum is σ = 26895123360. Its totient is φ = 3720192000.

The previous prime is 10333011011. The next prime is 10333011041. The reversal of 10333011040 is 4011033301.

10333011040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103330110402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10333011041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 148696 + ... + 206824.

It is an arithmetic number, because the mean of its divisors is an integer number (280157535).

Almost surely, 210333011040 is an apocalyptic number.

10333011040 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 10333011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13447561680).

10333011040 is an abundant number, since it is smaller than the sum of its proper divisors (16562112320).

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

10333011040 is a wasteful number, since it uses less digits than its factorization.

10333011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58256 (or 58248 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10333011040 its reverse (4011033301), we get a palindrome (14344044341).

The spelling of 10333011040 in words is "ten billion, three hundred thirty-three million, eleven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 101 110 160 176 202 220 352 404 440 505 808 880 1010 1111 1616 1760 2020 2222 3232 4040 4444 5555 8080 8888 11110 16160 17776 22220 35552 44440 58129 88880 116258 177760 232516 290645 465032 581290 639419 930064 1162580 1278838 1860128 2325160 2557676 3197095 4650320 5115352 5871029 6394190 9300640 10230704 11742058 12788380 20461408 23484116 25576760 29355145 46968232 51153520 58710290 64581319 93936464 102307040 117420580 129162638 187872928 234841160 258325276 322906595 469682320 516650552 645813190 939364640 1033301104 1291626380 2066602208 2583252760 5166505520 10333011040