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123101131120 = 24511224475197
BaseRepresentation
bin111001010100101100…
…1100011000101110000
3102202202010111101122121
41302221121203011300
54004102342143440
6132315112244024
711615363231002
oct1625131430560
9382663441577
10123101131120
1148230419900
121ba363a0614
13b7ba81a1b6
145d5b156372
15330737434a
hex1ca9663170

123101131120 has 120 divisors (see below), whose sum is σ = 314783727552. Its totient is φ = 44737144320.

The previous prime is 123101131063. The next prime is 123101131213. The reversal of 123101131120 is 21131101321.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 123101131094 and 123101131103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23684362 + ... + 23689558.

Almost surely, 2123101131120 is an apocalyptic number.

123101131120 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 123101131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157391863776).

123101131120 is an abundant number, since it is smaller than the sum of its proper divisors (191682596432).

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

123101131120 is a wasteful number, since it uses less digits than its factorization.

123101131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7679 (or 7662 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 123101131120 its reverse (21131101321), we get a palindrome (144232232441).

The spelling of 123101131120 in words is "one hundred twenty-three billion, one hundred one million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 2447 4840 4894 5197 9680 9788 10394 12235 19576 20788 24470 25985 26917 39152 41576 48940 51970 53834 57167 83152 97880 103940 107668 114334 134585 195760 207880 215336 228668 269170 285835 296087 415760 430672 457336 538340 571670 592174 628837 914672 1076680 1143340 1184348 1257674 1480435 2153360 2286680 2368696 2515348 2960870 3144185 4573360 4737392 5030696 5921740 6288370 10061392 11843480 12576740 12717059 23686960 25153480 25434118 50306960 50868236 63585295 101736472 127170590 139887649 203472944 254341180 279775298 508682360 559550596 699438245 1017364720 1119101192 1398876490 1538764139 2238202384 2797752980 3077528278 5595505960 6155056556 7693820695 11191011920 12310113112 15387641390 24620226224 30775282780 61550565560 123101131120