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103280123772 = 2232721923133979
BaseRepresentation
bin110000000101111111…
…0011001111101111100
3100212120202202220011100
41200023332121331330
53143004202430042
6115240215253100
710314243365400
oct1401376317574
9325522686140
10103280123772
113a889a346a1
121802437a190
13997c252a97
144dda945100
152a471b324c
hex180bf99f7c

103280123772 has 216 divisors, whose sum is σ = 333578044800. Its totient is φ = 26739865152.

The previous prime is 103280123761. The next prime is 103280123797. The reversal of 103280123772 is 277321082301.

103280123772 is a `hidden beast` number, since 1 + 0 + 3 + 280 + 1 + 2 + 377 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 703879 + ... + 837857.

It is an arithmetic number, because the mean of its divisors is an integer number (1544342800).

Almost surely, 2103280123772 is an apocalyptic number.

103280123772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103280123772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166789022400).

103280123772 is an abundant number, since it is smaller than the sum of its proper divisors (230297921028).

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

103280123772 is a wasteful number, since it uses less digits than its factorization.

103280123772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134045 (or 134033 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 103280123772 in words is "one hundred three billion, two hundred eighty million, one hundred twenty-three thousand, seven hundred seventy-two".