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11331314010 = 23253721116127
BaseRepresentation
bin10101000110110011…
…00010000101011010
31002020200212101121200
422203121202011122
5141201304022020
65112221215030
7550541402622
oct124331420532
932220771550
1011331314010
11489525aa25
122242a01476
1310b776a543
14796cb5882
15464bd6590
hex2a366215a

11331314010 has 96 divisors (see below), whose sum is σ = 30402957312. Its totient is φ = 2925901440.

The previous prime is 11331313997. The next prime is 11331314023. The reversal of 11331314010 is 1041313311.

11331314010 is a `hidden beast` number, since 1 + 133 + 131 + 401 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11331313997) and next prime (11331314023).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 694567 + ... + 710693.

It is an arithmetic number, because the mean of its divisors is an integer number (316697472).

Almost surely, 211331314010 is an apocalyptic number.

11331314010 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 11331314010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15201478656).

11331314010 is an abundant number, since it is smaller than the sum of its proper divisors (19071643302).

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

11331314010 is a wasteful number, since it uses less digits than its factorization.

11331314010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16388 (or 16385 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11331314010 its reverse (1041313311), we get a palindrome (12372627321).

The spelling of 11331314010 in words is "eleven billion, three hundred thirty-one million, three hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 211 222 333 370 422 555 633 666 1055 1110 1266 1665 1899 2110 3165 3330 3798 6330 7807 9495 15614 16127 18990 23421 32254 39035 46842 48381 70263 78070 80635 96762 117105 140526 145143 161270 234210 241905 290286 351315 483810 596699 702630 725715 1193398 1451430 1790097 2983495 3402797 3580194 5370291 5966990 6805594 8950485 10208391 10740582 17013985 17900970 20416782 26851455 30625173 34027970 51041955 53702910 61250346 102083910 125903489 153125865 251806978 306251730 377710467 629517445 755420934 1133131401 1259034890 1888552335 2266262802 3777104670 5665657005 11331314010