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23065103147700 = 22352821721312983
BaseRepresentation
bin1010011111010010000110…
…10001111010001010110100
310000200000001200210100110110
411033221003101322022310
511010344312401211300
6121015543452023020
74600253520633225
oct517510321721264
9100600050710413
1023065103147700
11739294546a209
122706208461a70
13cb40508a5b33
1459a4dd67924c
1529ee99d5b550
hex14fa4347a2b4

23065103147700 has 144 divisors (see below), whose sum is σ = 66830727309696. Its totient is φ = 6141877670400.

The previous prime is 23065103147663. The next prime is 23065103147761. The reversal of 23065103147700 is 774130156032.

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, 1776555409 + ... + 1776568391.

It is an arithmetic number, because the mean of its divisors is an integer number (464102272984).

Almost surely, 223065103147700 is an apocalyptic number.

23065103147700 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 23065103147700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33415363654848).

23065103147700 is an abundant number, since it is smaller than the sum of its proper divisors (43765624161996).

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

23065103147700 is a wasteful number, since it uses less digits than its factorization.

23065103147700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21034 (or 21027 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The spelling of 23065103147700 in words is "twenty-three trillion, sixty-five billion, one hundred three million, one hundred forty-seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 821 1642 2463 3284 4105 4926 7213 8210 9852 12315 12983 14426 16420 20525 21639 24630 25966 28852 36065 38949 41050 43278 49260 51932 61575 64915 72130 77898 82100 86556 108195 123150 129830 144260 155796 180325 194745 216390 246300 259660 324575 360650 389490 432780 540975 649150 721300 778980 973725 1081950 1298300 1947450 2163900 3894900 5921873 10659043 11843746 17765619 21318086 23687492 29609365 31977129 35531238 42636172 53295215 59218730 63954258 71062476 88828095 93646379 106590430 118437460 127908516 148046825 159885645 177656190 187292758 213180860 266476075 280939137 296093650 319771290 355312380 374585516 444140475 468231895 532952150 561878274 592187300 639542580 799428225 888280950 936463790 1065904300 1123756548 1404695685 1598856450 1776561900 1872927580 2341159475 2809391370 3197712900 4682318950 5618782740 7023478425 9364637900 14046956850 28093913700 76883677159 153767354318 230651031477 307534708636 384418385795 461302062954 768836771590 922604125908 1153255157385 1537673543180 1922091928975 2306510314770 3844183857950 4613020629540 5766275786925 7688367715900 11532551573850 23065103147700