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133002002112 = 2637234302601
BaseRepresentation
bin111101111011110001…
…0010111111011000000
3110201022010201202100020
41323313202113323000
54134342003031422
6141033354253440
712415625236050
oct1736742277300
9421263652306
10133002002112
1151451187811
122193a127280
13c707b0a445
14661a073560
1536d66a095c
hex1ef7897ec0

133002002112 has 112 divisors (see below), whose sum is σ = 419658588672. Its totient is φ = 36348364800.

The previous prime is 133002002099. The next prime is 133002002123. The reversal of 133002002112 is 211200200331.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 133002002091 and 133002002100.

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, 2120389 + ... + 2182212.

Almost surely, 2133002002112 is an apocalyptic number.

133002002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133002002112 is an abundant number, since it is smaller than the sum of its proper divisors (286656586560).

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

133002002112 is a wasteful number, since it uses less digits than its factorization.

133002002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4302646 (or 4302636 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 133002002112 its reverse (211200200331), we get a palindrome (344202202443).

The spelling of 133002002112 in words is "one hundred thirty-three billion, two million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1932 2208 2576 3864 4416 5152 7728 10304 15456 30912 4302601 8605202 12907803 17210404 25815606 30118207 34420808 51631212 60236414 68841616 90354621 98959823 103262424 120472828 137683232 180709242 197919646 206524848 240945656 275366464 296879469 361418484 395839292 413049696 481891312 593758938 692718761 722836968 791678584 826099392 963782624 1187517876 1385437522 1445673936 1583357168 1927565248 2078156283 2375035752 2770875044 2891347872 3166714336 4156312566 4750071504 5541750088 5782695744 6333428672 8312625132 9500143008 11083500176 16625250264 19000286016 22167000352 33250500528 44334000704 66501001056 133002002112