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10331231130 = 2335114996971
BaseRepresentation
bin10011001111100101…
…00001001110011010
3222200000000220211000
421213302201032122
5132124243344010
64425054045430
7514006005243
oct114762411632
928600026730
1010331231130
11442178a950
122003aa9876
13c8850171c
14700145cca
15406eda7c0
hex267ca139a

10331231130 has 128 divisors (see below), whose sum is σ = 30119040000. Its totient is φ = 2499163200.

The previous prime is 10331231129. The next prime is 10331231137. The reversal of 10331231130 is 3113213301.

It is a happy number.

10331231130 is a `hidden beast` number, since 10 + 3 + 312 + 311 + 30 = 666.

10331231130 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 2×103312311302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10331231137) 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 63 ways as a sum of consecutive naturals, for example, 1478545 + ... + 1485515.

It is an arithmetic number, because the mean of its divisors is an integer number (235305000).

Almost surely, 210331231130 is an apocalyptic number.

10331231130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10331231130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15059520000).

10331231130 is an abundant number, since it is smaller than the sum of its proper divisors (19787808870).

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

10331231130 is a wasteful number, since it uses less digits than its factorization.

10331231130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7497 (or 7491 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10331231130 its reverse (3113213301), we get a palindrome (13444444431).

The spelling of 10331231130 in words is "ten billion, three hundred thirty-one million, two hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 499 594 990 998 1485 1497 2495 2970 2994 4491 4990 5489 6971 7485 8982 10978 13473 13942 14970 16467 20913 22455 26946 27445 32934 34855 41826 44910 49401 54890 62739 67365 69710 76681 82335 98802 104565 125478 134730 148203 153362 164670 188217 209130 230043 247005 296406 313695 376434 383405 460086 494010 627390 690129 741015 766810 941085 1150215 1380258 1482030 1882170 2070387 2300430 3450645 3478529 4140774 6901290 6957058 10351935 10435587 17392645 20703870 20871174 31306761 34785290 38263819 52177935 62613522 76527638 93920283 104355870 114791457 156533805 187840566 191319095 229582914 313067610 344374371 382638190 469601415 573957285 688748742 939202830 1033123113 1147914570 1721871855 2066246226 3443743710 5165615565 10331231130