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23010001303000 = 2353257239937321
BaseRepresentation
bin1010011101101011011101…
…11101000011010111011000
310000110201211112221121121111
411032311232331003113120
511003443440313144000
6120534352040150104
74563263165655535
oct516655675032730
9100421745847544
1023010001303000
117371539958788
1226b75aaa68334
13cabaabb691ba
14597993535d8c
1529d822643cba
hex14ed6ef435d8

23010001303000 has 128 divisors (see below), whose sum is σ = 54076890816000. Its totient is φ = 9164120064000.

The previous prime is 23010001302991. The next prime is 23010001303007. The reversal of 23010001303000 is 30310001032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23010001303007) 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, 616524340 + ... + 616561660.

It is an arithmetic number, because the mean of its divisors is an integer number (422475709500).

Almost surely, 223010001303000 is an apocalyptic number.

23010001303000 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 23010001303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27038445408000).

23010001303000 is an abundant number, since it is smaller than the sum of its proper divisors (31066889513000).

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

23010001303000 is a wasteful number, since it uses less digits than its factorization.

23010001303000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39998 (or 39984 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 23010001303000 its reverse (30310001032), we get a palindrome (23040311304032).

The spelling of 23010001303000 in words is "twenty-three trillion, ten billion, one million, three hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 257 500 514 1000 1028 1285 2056 2399 2570 4798 5140 6425 9596 10280 11995 12850 19192 23990 25700 32125 37321 47980 51400 59975 64250 74642 95960 119950 128500 149284 186605 239900 257000 298568 299875 373210 479800 599750 616543 746420 933025 1199500 1233086 1492840 1866050 2399000 2466172 3082715 3732100 4665125 4932344 6165430 7464200 9330250 9591497 12330860 15413575 18660500 19182994 24661720 30827150 37321000 38365988 47957485 61654300 76731976 77067875 89533079 95914970 123308600 154135750 179066158 191829940 239787425 308271500 358132316 383659880 447665395 479574850 616543000 716264632 895330790 959149700 1198937125 1790661580 1918299400 2238326975 2397874250 3581323160 4476653950 4795748500 8953307900 9591497000 11191634875 17906615800 22383269750 23010001303 44766539500 46020002606 89533079000 92040005212 115050006515 184080010424 230100013030 460200026060 575250032575 920400052120 1150500065150 2301000130300 2876250162875 4602000260600 5752500325750 11505000651500 23010001303000