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1000103333133 = 331210926911831
BaseRepresentation
bin11101000110110101100…
…11011100110100001101
310112121102220212021220010
432203122303130310031
5112341202423130013
62043235141143433
7132153331032552
oct16433263346415
93477386767803
101000103333133
11356161293683
121419b06bab79
13734038084c8
1436596064a29
151b0358787c3
hexe8dacdcd0d

1000103333133 has 48 divisors (see below), whose sum is σ = 1395802108800. Its totient is φ = 636877987200.

The previous prime is 1000103333083. The next prime is 1000103333137. The reversal of 1000103333133 is 3313333010001.

It is not a de Polignac number, because 1000103333133 - 26 = 1000103333069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000103333137) 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, 84526528 + ... + 84538358.

It is an arithmetic number, because the mean of its divisors is an integer number (29079210600).

Almost surely, 21000103333133 is an apocalyptic number.

It is an amenable number.

1000103333133 is a deficient number, since it is larger than the sum of its proper divisors (395698775667).

1000103333133 is a wasteful number, since it uses less digits than its factorization.

1000103333133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12274 (or 12243 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 1000103333133 its reverse (3313333010001), we get a palindrome (4313436343134).

The spelling of 1000103333133 in words is "one trillion, one hundred three million, three hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 3 31 93 109 269 327 807 961 2883 3379 8339 10137 11831 25017 29321 35493 87963 104749 258509 314247 366761 775527 908951 1100283 1289579 2726853 3182539 3868737 9547617 11369591 28177481 34108773 39976949 84532443 98658709 119930847 295976127 346896751 1040690253 1239285419 3058419979 3717856257 9175259937 10753799281 32261397843 333367777711 1000103333133