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102133120112 = 24293793891493
BaseRepresentation
bin101111100011110011…
…0111011110001110000
3100202121211111001221022
41133013212323301300
53133132034320422
6114530323115012
710243645124402
oct1370746736160
9322554431838
10102133120112
113a350535891
1217964212a68
1398287257aa
144d2c48cb72
1529cb645342
hex17c79bbc70

102133120112 has 80 divisors (see below), whose sum is σ = 205912044000. Its totient is φ = 49016282112.

The previous prime is 102133120093. The next prime is 102133120121. The reversal of 102133120112 is 211021331201.

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, 68407238 + ... + 68408730.

It is an arithmetic number, because the mean of its divisors is an integer number (2573900550).

Almost surely, 2102133120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102133120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102956022000).

102133120112 is an abundant number, since it is smaller than the sum of its proper divisors (103778923888).

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

102133120112 is a wasteful number, since it uses less digits than its factorization.

102133120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102133120112 its reverse (211021331201), we get a palindrome (313154451313).

The spelling of 102133120112 in words is "one hundred two billion, one hundred thirty-three million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 232 379 389 464 758 778 1493 1516 1556 2986 3032 3112 5972 6064 6224 10991 11281 11944 21982 22562 23888 43297 43964 45124 86594 87928 90248 147431 173188 175856 180496 294862 346376 565847 580777 589724 692752 1131694 1161554 1179448 2263388 2323108 2358896 4275499 4526776 4646216 8550998 9053552 9292432 16409563 16842533 17101996 32819126 33685066 34203992 65638252 67370132 68407984 131276504 134740264 220114483 262553008 269480528 440228966 880457932 1760915864 3521831728 6383320007 12766640014 25533280028 51066560056 102133120112