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10900197000 = 2333537311107
BaseRepresentation
bin10100010011011001…
…11100111010001000
31001010122122101021000
422021230330322020
5134310422301000
65001341015000
7534055101000
oct121154747210
931118571230
1010900197000
114693971380
122142554460
131049352714
14755931000
1543be28000
hex289b3ce88

10900197000 has 1024 divisors, whose sum is σ = 48522240000. Its totient is φ = 2243808000.

The previous prime is 10900196999. The next prime is 10900197167. The reversal of 10900197000 is 79100901.

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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 101870947 + ... + 101871053.

It is an arithmetic number, because the mean of its divisors is an integer number (47385000).

Almost surely, 210900197000 is an apocalyptic number.

10900197000 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 10900197000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24261120000).

10900197000 is an abundant number, since it is smaller than the sum of its proper divisors (37622043000).

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

10900197000 is a wasteful number, since it uses less digits than its factorization.

10900197000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 27.

Adding to 10900197000 its reverse (79100901), we get a palindrome (10979297901).

The spelling of 10900197000 in words is "ten billion, nine hundred million, one hundred ninety-seven thousand".