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10371312000 = 273253710289
BaseRepresentation
bin10011010100010110…
…11010100110000000
3222202210110020102200
421222023122212000
5132220023441000
64433045113200
7515003461140
oct115213324600
928683406380
1010371312000
114442376235
1220153b8800
13c938c600a
147055ba920
1540a7a6500
hex26a2da980

10371312000 has 384 divisors, whose sum is σ = 42570964800. Its totient is φ = 2370355200.

The previous prime is 10371311999. The next prime is 10371312023. The reversal of 10371312000 is 21317301.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×103713120002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1002856 + ... + 1013144.

Almost surely, 210371312000 is an apocalyptic number.

10371312000 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 10371312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21285482400).

10371312000 is an abundant number, since it is smaller than the sum of its proper divisors (32199652800).

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

10371312000 is a wasteful number, since it uses less digits than its factorization.

10371312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10331 (or 10306 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

Adding to 10371312000 its reverse (21317301), we get a palindrome (10392629301).

The spelling of 10371312000 in words is "ten billion, three hundred seventy-one million, three hundred twelve thousand".