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10920014112 = 2537193269313
BaseRepresentation
bin10100010101110001…
…00011000100100000
31001012000221012020010
422022320203010200
5134331010422422
65003325444520
7534415405560
oct121270430440
931160835203
1010920014112
1146a4077257
122149110740
1310504a0817
1475840cda0
1543da3eb0c
hex28ae23120

10920014112 has 192 divisors, whose sum is σ = 33157797120. Its totient is φ = 3082420224.

The previous prime is 10920014069. The next prime is 10920014117. The reversal of 10920014112 is 21141002901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10920014117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34888068 + ... + 34888380.

It is an arithmetic number, because the mean of its divisors is an integer number (172696860).

Almost surely, 210920014112 is an apocalyptic number.

10920014112 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 10920014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16578898560).

10920014112 is an abundant number, since it is smaller than the sum of its proper divisors (22237783008).

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

10920014112 is a wasteful number, since it uses less digits than its factorization.

10920014112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 10920014112 in words is "ten billion, nine hundred twenty million, fourteen thousand, one hundred twelve".