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10123031000 = 235334729173
BaseRepresentation
bin10010110110110000…
…10011000111011000
3222010111021020221002
421123120103013120
5131212443443000
64352255404132
7505600225625
oct113330230730
928114236832
1010123031000
114325207025
121b66223648
13c54335b94
146c062b34c
153e3ab18d5
hex25b6131d8

10123031000 has 64 divisors (see below), whose sum is σ = 23756971680. Its totient is φ = 4037404800.

The previous prime is 10123030999. The next prime is 10123031003. The reversal of 10123031000 is 13032101.

It is a super-2 number, since 2×101230310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123031003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332414 + ... + 361586.

Almost surely, 210123031000 is an apocalyptic number.

10123031000 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 10123031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11878485840).

10123031000 is an abundant number, since it is smaller than the sum of its proper divisors (13633940680).

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

10123031000 is a wasteful number, since it uses less digits than its factorization.

10123031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29541 (or 29527 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10123031000 its reverse (13032101), we get a palindrome (10136063101).

The spelling of 10123031000 in words is "ten billion, one hundred twenty-three million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 347 500 694 1000 1388 1735 2776 3470 6940 8675 13880 17350 29173 34700 43375 58346 69400 86750 116692 145865 173500 233384 291730 347000 583460 729325 1166920 1458650 2917300 3646625 5834600 7293250 10123031 14586500 20246062 29173000 40492124 50615155 80984248 101230310 202460620 253075775 404921240 506151550 1012303100 1265378875 2024606200 2530757750 5061515500 10123031000