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131230021121000 = 23531811276356807
BaseRepresentation
bin11101110101101001011110…
…110010101111001111101000
3122012122110121210202100200122
4131311221132302233033220
5114200033040401333000
61143034123415222412
736433025154551564
oct3565513662571750
9565573553670618
10131230021121000
11388a538084391a
1212875310677a08
13582bc2671b6c9
1424597d186c6a4
1510288d9b81085
hex775a5ecaf3e8

131230021121000 has 128 divisors (see below), whose sum is σ = 308804443234560. Its totient is φ = 52196988384000.

The previous prime is 131230021120999. The next prime is 131230021121009. The reversal of 131230021121000 is 121120032131.

It is a self number, because there is not a number n which added to its sum of digits gives 131230021121000.

It is not an unprimeable number, because it can be changed into a prime (131230021121009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2310074597 + ... + 2310131403.

It is an arithmetic number, because the mean of its divisors is an integer number (2412534712770).

Almost surely, 2131230021121000 is an apocalyptic number.

131230021121000 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 131230021121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154402221617280).

131230021121000 is an abundant number, since it is smaller than the sum of its proper divisors (177574422113560).

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

131230021121000 is a wasteful number, since it uses less digits than its factorization.

131230021121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69772 (or 69758 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 131230021121000 its reverse (121120032131), we get a palindrome (131351141153131).

The spelling of 131230021121000 in words is "one hundred thirty-one trillion, two hundred thirty billion, twenty-one million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 181 200 250 362 500 724 905 1000 1448 1810 3620 4525 7240 9050 12763 18100 22625 25526 36200 45250 51052 56807 63815 90500 102104 113614 127630 181000 227228 255260 284035 319075 454456 510520 568070 638150 1136140 1276300 1420175 1595375 2272280 2310103 2552600 2840350 3190750 4620206 5680700 6381500 7100875 9240412 10282067 11361400 11550515 12763000 14201750 18480824 20564134 23101030 28403500 41128268 46202060 51410335 56807000 57752575 82256536 92404120 102820670 115505150 205641340 231010300 257051675 288762875 411282680 462020600 514103350 577525750 725027741 1028206700 1155051500 1285258375 1450055482 2056413400 2310103000 2570516750 2900110964 3625138705 5141033500 5800221928 7250277410 10282067000 14500554820 18125693525 29001109640 36251387050 72502774100 90628467625 131230021121 145005548200 181256935250 262460042242 362513870500 524920084484 656150105605 725027741000 1049840168968 1312300211210 2624600422420 3280750528025 5249200844840 6561501056050 13123002112100 16403752640125 26246004224200 32807505280250 65615010560500 131230021121000