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10397051421120 = 263657213313761
BaseRepresentation
bin1001011101001100000010…
…0011101000000111000000
31100210221121101112022000000
42113103000203220013000
52330321130130433440
634040201155000000
72122106424626400
oct227230043500700
940727541468000
1010397051421120
113349401527471
1211bb027599000
135a558c947520
1427d311872800
151306b7a53730
hex974c08e81c0

10397051421120 has 4704 divisors, whose sum is σ = 50107563910656. Its totient is φ = 2031663513600.

The previous prime is 10397051421077. The next prime is 10397051421161. The reversal of 10397051421120 is 2112415079301.

It is a happy number.

10397051421120 is a `hidden beast` number, since 1 + 0 + 39 + 70 + 514 + 21 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4704).

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 671 ways as a sum of consecutive naturals, for example, 170443465890 + ... + 170443465950.

Almost surely, 210397051421120 is an apocalyptic number.

10397051421120 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 10397051421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25053781955328).

10397051421120 is an abundant number, since it is smaller than the sum of its proper divisors (39710512489536).

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

10397051421120 is a wasteful number, since it uses less digits than its factorization.

10397051421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10397051421120 in words is "ten trillion, three hundred ninety-seven billion, fifty-one million, four hundred twenty-one thousand, one hundred twenty".