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123011153340 = 22359725782241
BaseRepresentation
bin111001010010000001…
…0010011110110111100
3102202111212012001100020
41302210002103312330
54003411323401330
6132302135532140
711613221360055
oct1624402236674
9382455161306
10123011153340
11481946531a9
121ba1022a050
13b7a4ca53ca
145d4d21372c
1532ee4ee210
hex1ca4093dbc

123011153340 has 96 divisors (see below), whose sum is σ = 349340330304. Its totient is φ = 32338083840.

The previous prime is 123011153333. The next prime is 123011153359. The reversal of 123011153340 is 43351110321.

It is a self number, because there is not a number n which added to its sum of digits gives 123011153340.

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, 1454620 + ... + 1536860.

It is an arithmetic number, because the mean of its divisors is an integer number (3638961774).

Almost surely, 2123011153340 is an apocalyptic number.

123011153340 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 123011153340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174670165152).

123011153340 is an abundant number, since it is smaller than the sum of its proper divisors (226329176964).

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

123011153340 is a wasteful number, since it uses less digits than its factorization.

123011153340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82607 (or 82605 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 123011153340 its reverse (43351110321), we get a palindrome (166362263661).

The spelling of 123011153340 in words is "one hundred twenty-three billion, eleven million, one hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 257 291 388 485 514 582 771 970 1028 1164 1285 1455 1542 1940 2570 2910 3084 3855 5140 5820 7710 15420 24929 49858 74787 82241 99716 124645 149574 164482 246723 249290 299148 328964 373935 411205 493446 498580 747870 822410 986892 1233615 1495740 1644820 2467230 4934460 7977377 15954754 21135937 23932131 31909508 39886885 42271874 47864262 63407811 79773770 84543748 95728524 105679685 119660655 126815622 159547540 211359370 239321310 253631244 317039055 422718740 478642620 634078110 1268156220 2050185889 4100371778 6150557667 8200743556 10250929445 12301115334 20501858890 24602230668 30752788335 41003717780 61505576670 123011153340