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1031242120000 = 265459436967
BaseRepresentation
bin11110000000110101101…
…00011111101101000000
310122120211000222120011121
433000122310133231000
5113343440440320000
62105425053322024
7134335066251001
oct17003264375500
93576730876147
101031242120000
11368390324084
12147a40a96314
1376326ab1891
1437cab8271a8
151bc5944ab1a
hexf01ad1fb40

1031242120000 has 140 divisors (see below), whose sum is σ = 2600492700960. Its totient is φ = 405504448000.

The previous prime is 1031242119991. The next prime is 1031242120003. The reversal of 1031242120000 is 212421301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031242120003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2141517 + ... + 2578483.

It is an arithmetic number, because the mean of its divisors is an integer number (18574947864).

Almost surely, 21031242120000 is an apocalyptic number.

1031242120000 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 1031242120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300246350480).

1031242120000 is an abundant number, since it is smaller than the sum of its proper divisors (1569250580960).

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

1031242120000 is an frugal number, since it uses more digits than its factorization.

1031242120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437058 (or 437033 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1031242120000 its reverse (212421301), we get a palindrome (1031454541301).

The spelling of 1031242120000 in words is "one trillion, thirty-one billion, two hundred forty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 125 160 200 236 250 295 320 400 472 500 590 625 800 944 1000 1180 1250 1475 1600 1888 2000 2360 2500 2950 3776 4000 4720 5000 5900 7375 8000 9440 10000 11800 14750 18880 20000 23600 29500 36875 40000 47200 59000 73750 94400 118000 147500 236000 295000 436967 472000 590000 873934 1180000 1747868 2184835 2360000 3495736 4369670 6991472 8739340 10924175 13982944 17478680 21848350 25781053 27965888 34957360 43696700 51562106 54620875 69914720 87393400 103124212 109241750 128905265 139829440 174786800 206248424 218483500 257810530 273104375 349573600 412496848 436967000 515621060 546208750 644526325 699147200 824993696 873934000 1031242120 1092417500 1289052650 1649987392 1747868000 2062484240 2184835000 2578105300 3222631625 3495736000 4124968480 4369670000 5156210600 6445263250 8249936960 8739340000 10312421200 12890526500 16113158125 17478680000 20624842400 25781053000 32226316250 41249684800 51562106000 64452632500 103124212000 128905265000 206248424000 257810530000 515621060000 1031242120000