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123020102100 = 223527429713633
BaseRepresentation
bin111001010010010010…
…0011100100111010100
3102202112111000200201210
41302210210130213110
54003421121231400
6132303055421420
711613360420540
oct1624444344724
9382474020653
10123020102100
1148199705575
121ba13224870
13b7a6ab962c
145d504a2a20
1533001ba950
hex1ca491c9d4

123020102100 has 144 divisors (see below), whose sum is σ = 406910983808. Its totient is φ = 28110274560.

The previous prime is 123020102099. The next prime is 123020102131. The reversal of 123020102100 is 1201020321.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 9016884 + ... + 9030516.

Almost surely, 2123020102100 is an apocalyptic number.

123020102100 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 123020102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203455491904).

123020102100 is an abundant number, since it is smaller than the sum of its proper divisors (283890881708).

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

123020102100 is a wasteful number, since it uses less digits than its factorization.

123020102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17954 (or 17947 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 123020102100 its reverse (1201020321), we get a palindrome (124221122421).

The spelling of 123020102100 in words is "one hundred twenty-three billion, twenty million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 4297 8594 12891 13633 17188 21485 25782 27266 30079 40899 42970 51564 54532 60158 64455 68165 81798 85940 90237 95431 107425 120316 128910 136330 150395 163596 180474 190862 204495 214850 257820 272660 286293 300790 322275 340825 360948 381724 408990 429700 451185 477155 572586 601580 644550 681650 751975 817980 902370 954310 1022475 1145172 1289100 1363300 1431465 1503950 1804740 1908620 2044950 2255925 2385775 2862930 3007900 4089900 4511850 4771550 5725860 7157325 9023700 9543100 14314650 28629300 58581001 117162002 175743003 234324004 292905005 351486006 410067007 585810010 702972012 820134014 878715015 1171620020 1230201021 1464525025 1640268028 1757430030 2050335035 2460402042 2929050050 3514860060 4100670070 4393575075 4920804084 5858100100 6151005105 8201340140 8787150150 10251675175 12302010210 17574300300 20503350350 24604020420 30755025525 41006700700 61510051050 123020102100