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1001200313331 = 323143319126153
BaseRepresentation
bin11101001000111000011…
…00000110001111110011
310112201021101000122211100
432210130030012033303
5112400424240011311
62043540045215443
7132222451150551
oct16443414061763
93481241018740
101001200313331
11356674526089
12142057b61583
1373549b6c80a
143665ba18bd1
151b09bd14a56
hexe91c3063f3

1001200313331 has 48 divisors (see below), whose sum is σ = 1528083228672. Its totient is φ = 630692092800.

The previous prime is 1001200313329. The next prime is 1001200313339. The reversal of 1001200313331 is 1333130021001.

It is a happy number.

1001200313331 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 20 + 0 + 313 + 331 = 666.

1001200313331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001200313331 - 21 = 1001200313329 is a prime.

It is a super-2 number, since 2×10012003133312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001200313339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38269351 + ... + 38295503.

It is an arithmetic number, because the mean of its divisors is an integer number (31835067264).

Almost surely, 21001200313331 is an apocalyptic number.

1001200313331 is a deficient number, since it is larger than the sum of its proper divisors (526882915341).

1001200313331 is a wasteful number, since it uses less digits than its factorization.

1001200313331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29424 (or 29421 counting only the distinct ones).

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

Adding to 1001200313331 its reverse (1333130021001), we get a palindrome (2334330334332).

The spelling of 1001200313331 in words is "one trillion, one billion, two hundred million, three hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 9 31 43 93 129 279 387 1333 3191 3999 9573 11997 26153 28719 78459 98921 137213 235377 296763 411639 810743 890289 1124579 1234917 2432229 3373737 4253603 7296687 10121211 12760809 34861949 38282427 83454223 104585847 250362669 313757541 751088007 2587080913 3588531589 7761242739 10765594767 23283728217 32296784301 111244479259 333733437777 1001200313331