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10003131220344 = 2333135232546119
BaseRepresentation
bin1001000110010000100100…
…0101010100000101111000
31022102021211102011201122020
42101210021011110011320
52302342403043022334
633135213001554440
72051462626312503
oct221441105240570
938367742151566
1010003131220344
11320733887a229
1211568104a5a20
135773a2a94b22
14268222d3213a
1512530eca6e49
hex91909154178

10003131220344 has 64 divisors (see below), whose sum is σ = 25135704019200. Its totient is φ = 3317367695616.

The previous prime is 10003131220321. The next prime is 10003131220363. The reversal of 10003131220344 is 44302213130001.

It is a happy number.

It is a super-2 number, since 2×100031312203442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2655717 + ... + 5201835.

It is an arithmetic number, because the mean of its divisors is an integer number (392745375300).

Almost surely, 210003131220344 is an apocalyptic number.

It is an amenable number.

10003131220344 is an abundant number, since it is smaller than the sum of its proper divisors (15132572798856).

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

10003131220344 is a wasteful number, since it uses less digits than its factorization.

10003131220344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546964 (or 2546960 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10003131220344 its reverse (44302213130001), we get a palindrome (54305344350345).

The spelling of 10003131220344 in words is "ten trillion, three billion, one hundred thirty-one million, two hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 313 523 626 939 1046 1252 1569 1878 2092 2504 3138 3756 4184 6276 7512 12552 163699 327398 491097 654796 982194 1309592 1964388 2546119 3928776 5092238 7638357 10184476 15276714 20368952 30553428 61106856 796935247 1331620237 1593870494 2390805741 2663240474 3187740988 3994860711 4781611482 5326480948 6375481976 7989721422 9563222964 10652961896 15979442844 19126445928 31958885688 416797134181 833594268362 1250391402543 1667188536724 2500782805086 3334377073448 5001565610172 10003131220344