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2023010022300 = 2235219463766553
BaseRepresentation
bin11101011100000100110…
…010110011001110011100
321011101202001021002120020
4131130010302303032130
5231121111031203200
64145205153352140
7266105034316131
oct35340462631634
97141661232506
102023010022300
1170aa54466143
122880a5b68650
131189cc722297
146dcb282a588
153795311bea0
hex1d704cb339c

2023010022300 has 144 divisors (see below), whose sum is σ = 6174623132160. Its totient is φ = 509971714560.

The previous prime is 2023010022287. The next prime is 2023010022337. The reversal of 2023010022300 is 32200103202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2023010022300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2255824 + ... + 3022376.

Almost surely, 22023010022300 is an apocalyptic number.

2023010022300 is a gapful number since it is divisible by the number (20) 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 2023010022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087311566080).

2023010022300 is an abundant number, since it is smaller than the sum of its proper divisors (4151613109860).

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

2023010022300 is a wasteful number, since it uses less digits than its factorization.

2023010022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767052 (or 767045 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2023010022300 its reverse (32200103202), we get a palindrome (2055210125502).

The spelling of 2023010022300 in words is "two trillion, twenty-three billion, ten million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 463 475 570 926 950 1140 1389 1425 1852 1900 2315 2778 2850 4630 5556 5700 6945 8797 9260 11575 13890 17594 23150 26391 27780 34725 35188 43985 46300 52782 69450 87970 105564 131955 138900 175940 219925 263910 439850 527820 659775 766553 879700 1319550 1533106 2299659 2639100 3066212 3832765 4599318 7665530 9198636 11498295 14564507 15331060 19163825 22996590 29129014 38327650 43693521 45993180 57491475 58258028 72822535 76655300 87387042 114982950 145645070 174774084 218467605 229965900 291290140 354914039 364112675 436935210 709828078 728225350 873870420 1064742117 1092338025 1419656156 1456450700 1774570195 2129484234 2184676050 3549140390 4258968468 4369352100 5323710585 6743366741 7098280780 8872850975 10647421170 13486733482 17745701950 20230100223 21294842340 26618552925 26973466964 33716833705 35491403900 40460200446 53237105850 67433667410 80920400892 101150501115 106474211700 134867334820 168584168525 202301002230 337168337050 404602004460 505752505575 674336674100 1011505011150 2023010022300