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123142000980 = 223571161317921
BaseRepresentation
bin111001010101111010…
…1011101000101010100
3102202211222101210120010
41302223311131011110
54004143323012410
6132323132240220
711616400511055
oct1625365350524
9382758353503
10123142000980
11482514a3a49
121ba48010070
13b7c612994b
145d6275472c
15330ac48c20
hex1cabd5d154

123142000980 has 96 divisors (see below), whose sum is σ = 349890202368. Its totient is φ = 32353484800.

The previous prime is 123142000979. The next prime is 123142000987. The reversal of 123142000980 is 89000241321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123142000987) 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, 6862420 + ... + 6880340.

It is an arithmetic number, because the mean of its divisors is an integer number (3644689608).

Almost surely, 2123142000980 is an apocalyptic number.

123142000980 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 123142000980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174945101184).

123142000980 is an abundant number, since it is smaller than the sum of its proper divisors (226748201388).

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

123142000980 is a wasteful number, since it uses less digits than its factorization.

123142000980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19617 (or 19615 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 123142000980 in words is "one hundred twenty-three billion, one hundred forty-two million, nine hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 1613 2130 3226 4260 4839 6452 8065 9678 16130 17921 19356 24195 32260 35842 48390 53763 71684 89605 96780 107526 114523 179210 215052 229046 268815 343569 358420 458092 537630 572615 687138 1075260 1145230 1272391 1374276 1717845 2290460 2544782 3435690 3817173 5089564 6361955 6871380 7634346 12723910 15268692 19085865 25447820 28906573 38171730 57813146 76343460 86719719 115626292 144532865 173439438 289065730 346878876 433598595 578131460 867197190 1734394380 2052366683 4104733366 6157100049 8209466732 10261833415 12314200098 20523666830 24628400196 30785500245 41047333660 61571000490 123142000980