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10231211000 = 235379129509
BaseRepresentation
bin10011000011101001…
…11110001111111000
3222102000211100222202
421201310332033320
5131423142223000
64411122205332
7511352600333
oct114164761770
928360740882
1010231211000
11438028528a
121b964b3848
13c70881a0a
146d0b4b61a
153ed32edd5
hex261d3e3f8

10231211000 has 64 divisors (see below), whose sum is σ = 24244272000. Its totient is φ = 4040649600.

The previous prime is 10231210949. The next prime is 10231211017. The reversal of 10231211000 is 11213201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14246 + ... + 143754.

It is an arithmetic number, because the mean of its divisors is an integer number (378816750).

Almost surely, 210231211000 is an apocalyptic number.

10231211000 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 10231211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12122136000).

10231211000 is an abundant number, since it is smaller than the sum of its proper divisors (14013061000).

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

10231211000 is a wasteful number, since it uses less digits than its factorization.

10231211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129609 (or 129595 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10231211000 its reverse (11213201), we get a palindrome (10242424201).

The spelling of 10231211000 in words is "ten billion, two hundred thirty-one million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 125 158 200 250 316 395 500 632 790 1000 1580 1975 3160 3950 7900 9875 15800 19750 39500 79000 129509 259018 518036 647545 1036072 1295090 2590180 3237725 5180360 6475450 10231211 12950900 16188625 20462422 25901800 32377250 40924844 51156055 64754500 81849688 102312110 129509000 204624220 255780275 409248440 511560550 1023121100 1278901375 2046242200 2557802750 5115605500 10231211000