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12103131000 = 2335327114887
BaseRepresentation
bin10110100010110011…
…10001111101111000
31011020111011202111010
423101121301331320
5144241400143000
65320552033520
7605632626132
oct132131617570
934214152433
1012103131000
1151509a1504
1224193928a0
1311ab63349c
1482b5c6052
154ac842d50
hex2d1671f78

12103131000 has 128 divisors (see below), whose sum is σ = 37903656960. Its totient is φ = 3215376000.

The previous prime is 12103130989. The next prime is 12103131017. The reversal of 12103131000 is 13130121.

It is a super-2 number, since 2×121031310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 805557 + ... + 820443.

It is an arithmetic number, because the mean of its divisors is an integer number (296122320).

Almost surely, 212103131000 is an apocalyptic number.

12103131000 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 12103131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18951828480).

12103131000 is an abundant number, since it is smaller than the sum of its proper divisors (25800525960).

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

12103131000 is a wasteful number, since it uses less digits than its factorization.

12103131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15182 (or 15168 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12103131000 its reverse (13130121), we get a palindrome (12116261121).

The spelling of 12103131000 in words is "twelve billion, one hundred three million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 271 300 375 500 542 600 750 813 1000 1084 1355 1500 1626 2168 2710 3000 3252 4065 5420 6504 6775 8130 10840 13550 14887 16260 20325 27100 29774 32520 33875 40650 44661 54200 59548 67750 74435 81300 89322 101625 119096 135500 148870 162600 178644 203250 223305 271000 297740 357288 372175 406500 446610 595480 744350 813000 893220 1116525 1488700 1786440 1860875 2233050 2977400 3721750 4034377 4466100 5582625 7443500 8068754 8932200 11165250 12103131 14887000 16137508 20171885 22330500 24206262 32275016 40343770 44661000 48412524 60515655 80687540 96825048 100859425 121031310 161375080 201718850 242062620 302578275 403437700 484125240 504297125 605156550 806875400 1008594250 1210313100 1512891375 2017188500 2420626200 3025782750 4034377000 6051565500 12103131000