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1000970109120 = 263515140916883
BaseRepresentation
bin11101001000011100111…
…01111100000011000000
310112200200022212002000110
432210032131330003000
5112344441321442440
62043501143151320
7132213654354342
oct16441635740300
93480608762013
101000970109120
11356566593273
12141bb2a45540
137351126b5c7
1436639213292
151b0869e1080
hexe90e77c0c0

1000970109120 has 224 divisors, whose sum is σ = 3207138762240. Its totient is φ = 264493670400.

The previous prime is 1000970109103. The next prime is 1000970109257. The reversal of 1000970109120 is 219010790001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59280199 + ... + 59297081.

It is an arithmetic number, because the mean of its divisors is an integer number (14317583760).

Almost surely, 21000970109120 is an apocalyptic number.

1000970109120 is a gapful number since it is divisible by the number (10) 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 1000970109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603569381120).

1000970109120 is an abundant number, since it is smaller than the sum of its proper divisors (2206168653120).

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

1000970109120 is a wasteful number, since it uses less digits than its factorization.

1000970109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17463 (or 17453 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 30.

Adding to 1000970109120 its reverse (219010790001), we get a palindrome (1219980899121).

The spelling of 1000970109120 in words is "one trillion, nine hundred seventy million, one hundred nine thousand, one hundred twenty".