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10260214272000 = 2123753721117
BaseRepresentation
bin1001010101001110010001…
…1011010101000000000000
31100022212101222021220000000
42111103210123111000000
52321100404323201000
633453251040000000
72106163450224600
oct225234433250000
940285358256000
1010260214272000
1132a6372522a80
1211985b9000000
135956c3418034
1427685031cc00
1512bd59843000
hex954e46d5000

10260214272000 has 4992 divisors, whose sum is σ = 51601695874560. Its totient is φ = 2006581248000.

The previous prime is 10260214271959. The next prime is 10260214272001. The reversal of 10260214272000 is 27241206201.

10260214272000 is a `hidden beast` number, since 1 + 0 + 2 + 602 + 14 + 27 + 20 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10260214272001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 603542015992 + ... + 603542016008.

It is an arithmetic number, because the mean of its divisors is an integer number (10336878180).

Almost surely, 210260214272000 is an apocalyptic number.

10260214272000 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 10260214272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25800847937280).

10260214272000 is an abundant number, since it is smaller than the sum of its proper divisors (41341481602560).

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

10260214272000 is an frugal number, since it uses more digits than its factorization.

10260214272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 10260214272000 its reverse (27241206201), we get a palindrome (10287455478201).

The spelling of 10260214272000 in words is "ten trillion, two hundred sixty billion, two hundred fourteen million, two hundred seventy-two thousand".