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1042243512100 = 2252714985911633
BaseRepresentation
bin11110010101010101000…
…11011110011100100100
310200122012202001012000021
433022222203132130210
5114034003314341400
62114444451324524
7135204523452310
oct17125243363444
93618182035007
101042243512100
1137201632286a
12149bb12b0744
137738b0a5a4b
143863297ab40
151c1a01b271a
hexf2aa8de724

1042243512100 has 144 divisors (see below), whose sum is σ = 2605364496000. Its totient is φ = 354498693120.

The previous prime is 1042243512067. The next prime is 1042243512109. The reversal of 1042243512100 is 12153422401.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1042243512109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89587884 + ... + 89599516.

It is an arithmetic number, because the mean of its divisors is an integer number (18092809000).

Almost surely, 21042243512100 is an apocalyptic number.

1042243512100 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 1042243512100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302682248000).

1042243512100 is an abundant number, since it is smaller than the sum of its proper divisors (1563120983900).

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

1042243512100 is a wasteful number, since it uses less digits than its factorization.

1042243512100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12662 (or 12655 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1042243512100 its reverse (12153422401), we get a palindrome (1054396934501).

The spelling of 1042243512100 in words is "one trillion, forty-two billion, two hundred forty-three million, five hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 149 175 298 350 596 700 745 859 1043 1490 1718 2086 2980 3436 3725 4172 4295 5215 6013 7450 8590 10430 11633 12026 14900 17180 20860 21475 23266 24052 26075 30065 42950 46532 52150 58165 60130 81431 85900 104300 116330 120260 127991 150325 162862 232660 255982 290825 300650 325724 407155 511964 581650 601300 639955 814310 895937 1163300 1279910 1628620 1733317 1791874 2035775 2559820 3199775 3466634 3583748 4071550 4479685 6399550 6933268 8143100 8666585 8959370 9992747 12133219 12799100 17333170 17918740 19985494 22398425 24266438 34666340 39970988 43332925 44796850 48532876 49963735 60666095 69949229 86665850 89593700 99927470 121332190 139898458 173331700 199854940 242664380 249818675 279796916 303330475 349746145 499637350 606660950 699492290 999274700 1213321900 1398984580 1488919303 1748730725 2977838606 3497461450 5955677212 6994922900 7444596515 10422435121 14889193030 20844870242 29778386060 37222982575 41689740484 52112175605 74445965150 104224351210 148891930300 208448702420 260560878025 521121756050 1042243512100