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12010031000 = 2353112937649
BaseRepresentation
bin10110010111101101…
…01000011110011000
31010222222222210021222
423023312220132120
5144044031443000
65303424351212
7603422402432
oct131366503630
933888883258
1012010031000
115103393060
1223b2175508
131195267526
1481d0ad652
154a45a2a85
hex2cbda8798

12010031000 has 128 divisors (see below), whose sum is σ = 31716360000. Its totient is φ = 4216576000.

The previous prime is 12010030999. The next prime is 12010031009. The reversal of 12010031000 is 13001021.

It is a super-2 number, since 2×120100310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010031009) 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, 300176 + ... + 337824.

Almost surely, 212010031000 is an apocalyptic number.

12010031000 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 12010031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15858180000).

12010031000 is an abundant number, since it is smaller than the sum of its proper divisors (19706329000).

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

12010031000 is a wasteful number, since it uses less digits than its factorization.

12010031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37710 (or 37696 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 12010031000 its reverse (13001021), we get a palindrome (12023032021).

The spelling of 12010031000 in words is "twelve billion, ten million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 125 145 200 220 232 250 275 290 319 440 500 550 580 638 725 1000 1100 1160 1276 1375 1450 1595 2200 2552 2750 2900 3190 3625 5500 5800 6380 7250 7975 11000 12760 14500 15950 29000 31900 37649 39875 63800 75298 79750 150596 159500 188245 301192 319000 376490 414139 752980 828278 941225 1091821 1505960 1656556 1882450 2070695 2183642 3313112 3764900 4141390 4367284 4706125 5459105 7529800 8282780 8734568 9412250 10353475 10918210 12010031 16565560 18824500 20706950 21836420 24020062 27295525 37649000 41413900 43672840 48040124 51767375 54591050 60050155 82827800 96080248 103534750 109182100 120100310 136477625 207069500 218364200 240200620 272955250 300250775 414139000 480401240 545910500 600501550 1091821000 1201003100 1501253875 2402006200 3002507750 6005015500 12010031000