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10131123103000 = 235392923094723
BaseRepresentation
bin1001001101101101010111…
…1111100110010100011000
31022212112012101111001010121
42103123111333212110120
52311442020003244000
633314101304123024
72063643450336364
oct223332577462430
938775171431117
1010131123103000
113256648968049
121177590766474
1358648c90c633
142704c582c2a4
151288016a2b1a
hex936d5fe6518

10131123103000 has 128 divisors (see below), whose sum is σ = 23747651928000. Its totient is φ = 4045477171200.

The previous prime is 10131123102949. The next prime is 10131123103007. The reversal of 10131123103000 is 30132113101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131123103007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2145058639 + ... + 2145063361.

Almost surely, 210131123103000 is an apocalyptic number.

10131123103000 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 10131123103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11873825964000).

10131123103000 is an abundant number, since it is smaller than the sum of its proper divisors (13616528825000).

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

10131123103000 is a wasteful number, since it uses less digits than its factorization.

10131123103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7982 (or 7968 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10131123103000 its reverse (30132113101), we get a palindrome (10161255216101).

The spelling of 10131123103000 in words is "ten trillion, one hundred thirty-one billion, one hundred twenty-three million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 929 1000 1858 2309 3716 4618 4645 4723 7432 9236 9290 9446 11545 18472 18580 18892 23090 23225 23615 37160 37784 46180 46450 47230 57725 92360 92900 94460 115450 116125 118075 185800 188920 230900 232250 236150 288625 461800 464500 472300 577250 590375 929000 944600 1154500 1180750 2145061 2309000 2361500 4290122 4387667 4723000 8580244 8775334 10725305 10905407 17160488 17550668 21450610 21810814 21938335 35101336 42901220 43621628 43876670 53626525 54527035 85802440 87243256 87753340 107253050 109054070 109691675 175506680 214506100 218108140 219383350 268132625 272635175 429012200 436216280 438766700 536265250 545270350 548458375 877533400 1072530500 1090540700 1096916750 1363175875 2145061000 2181081400 2193833500 2726351750 4387667000 5452703500 10131123103 10905407000 20262246206 40524492412 50655615515 81048984824 101311231030 202622462060 253278077575 405244924120 506556155150 1013112310300 1266390387875 2026224620600 2532780775750 5065561551500 10131123103000