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124001103311320 = 235731312691205089
BaseRepresentation
bin11100001100011101000001…
…101101101111000111011000
3121021001101112002112202110211
4130030131001231233013120
5112223113224421430240
61115421153114420504
735055532636164334
oct3414350155570730
9537041462482424
10124001103311320
1136568633131a14
1211aa82b2731734
13542633b995331
142289984b307c4
15e508473ecbea
hex70c741b6f1d8

124001103311320 has 128 divisors (see below), whose sum is σ = 286043054616000. Its totient is φ = 48367026339840.

The previous prime is 124001103311317. The next prime is 124001103311321. The reversal of 124001103311320 is 23113301100421.

It is a junction number, because it is equal to n+sod(n) for n = 124001103311291 and 124001103311300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124001103311321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102295336 + ... + 103500424.

Almost surely, 2124001103311320 is an apocalyptic number.

124001103311320 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 124001103311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143021527308000).

124001103311320 is an abundant number, since it is smaller than the sum of its proper divisors (162041951304680).

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

124001103311320 is a wasteful number, since it uses less digits than its factorization.

124001103311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205573 (or 1205569 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 124001103311320 its reverse (23113301100421), we get a palindrome (147114404411741).

The spelling of 124001103311320 in words is "one hundred twenty-four trillion, one billion, one hundred three million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 131 146 262 269 292 365 524 538 584 655 730 1048 1076 1310 1345 1460 2152 2620 2690 2920 5240 5380 9563 10760 19126 19637 35239 38252 39274 47815 70478 76504 78548 95630 98185 140956 157096 176195 191260 196370 281912 352390 382520 392740 704780 785480 1205089 1409560 2410178 2572447 4820356 5144894 6025445 9640712 10289788 12050890 12862235 20579576 24101780 25724470 48203560 51448940 87971497 102897880 157866659 175942994 315733318 324168941 351885988 439857485 631466636 648337882 703771976 789333295 879714970 1262933272 1296675764 1578666590 1620844705 1759429940 2593351528 3157333180 3241689410 3518859880 6314666360 6483378820 11524266107 12966757640 23048532214 23664332693 42466131271 46097064428 47328665386 57621330535 84932262542 92194128856 94657330772 115242661070 118321663465 169864525084 189314661544 212330656355 230485322140 236643326930 339729050168 424661312710 460970644280 473286653860 849322625420 946573307720 1698645250840 3100027582783 6200055165566 12400110331132 15500137913915 24800220662264 31000275827830 62000551655660 124001103311320