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103332120131000 = 23533112459135119
BaseRepresentation
bin10111011111101011100010…
…010100000111010110111000
3111112212110021010012112211102
4113133223202110013112320
5102020443140223143000
61003434042021150532
730523333160010545
oct2737534224072670
9445773233175742
10103332120131000
112aa199a6a50a62
12b70a559b5b448
13458723c185607
141b73430aa1bcc
15be2d8b4dd3d5
hex5dfae25075b8

103332120131000 has 128 divisors (see below), whose sum is σ = 242675087616000. Its totient is φ = 41182885456000.

The previous prime is 103332120130979. The next prime is 103332120131021. The reversal of 103332120131000 is 131021233301.

It is an interprime number because it is at equal distance from previous prime (103332120130979) and next prime (103332120131021).

It is a super-2 number, since 2×1033321201310002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 764681441 + ... + 764816559.

It is an arithmetic number, because the mean of its divisors is an integer number (1895899122000).

Almost surely, 2103332120131000 is an apocalyptic number.

103332120131000 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 103332120131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121337543808000).

103332120131000 is an abundant number, since it is smaller than the sum of its proper divisors (139342967485000).

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

103332120131000 is a wasteful number, since it uses less digits than its factorization.

103332120131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137910 (or 137896 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 103332120131000 its reverse (131021233301), we get a palindrome (103463141364301).

The spelling of 103332120131000 in words is "one hundred three trillion, three hundred thirty-two billion, one hundred twenty million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 311 500 622 1000 1244 1555 2459 2488 3110 4918 6220 7775 9836 12295 12440 15550 19672 24590 31100 38875 49180 61475 62200 77750 98360 122950 135119 155500 245900 270238 307375 311000 491800 540476 614750 675595 764749 1080952 1229500 1351190 1529498 2459000 2702380 3058996 3377975 3823745 5404760 6117992 6755950 7647490 13511900 15294980 16889875 19118725 27023800 30589960 33779750 38237450 42022009 67559500 76474900 84044018 95593625 135119000 152949800 168088036 191187250 210110045 332257621 336176072 382374500 420220090 664515242 764749000 840440180 1050550225 1329030484 1661288105 1680880360 2101100450 2658060968 3322576210 4202200900 5252751125 6645152420 8306440525 8404401800 10505502250 13290304840 16612881050 21011004500 33225762100 41532202625 42022009000 66451524200 83064405250 103332120131 166128810500 206664240262 332257621000 413328480524 516660600655 826656961048 1033321201310 2066642402620 2583303003275 4133284805240 5166606006550 10333212013100 12916515016375 20666424026200 25833030032750 51666060065500 103332120131000