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20300210103120 = 2435596732130209
BaseRepresentation
bin1001001110110100000101…
…10011111110001101010000
32122212200101112201212200220
410213122002303332031100
510130044312241244440
6111101442054313040
74163433062550633
oct447320263761520
978780345655626
1020300210103120
1165172a8417982
12233a397358780
13b433bc7c63cc
1450276d251c1a
152530c5be78d0
hex127682cfe350

20300210103120 has 160 divisors (see below), whose sum is σ = 64092395145600. Its totient is φ = 5313727168512.

The previous prime is 20300210103109. The next prime is 20300210103137. The reversal of 20300210103120 is 2130101200302.

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 20300210103120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8464576 + ... + 10594784.

It is an arithmetic number, because the mean of its divisors is an integer number (400577469660).

Almost surely, 220300210103120 is an apocalyptic number.

20300210103120 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 20300210103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32046197572800).

20300210103120 is an abundant number, since it is smaller than the sum of its proper divisors (43792185042480).

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

20300210103120 is a wasteful number, since it uses less digits than its factorization.

20300210103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130957 (or 2130951 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20300210103120 its reverse (2130101200302), we get a palindrome (22430311303422).

The spelling of 20300210103120 in words is "twenty trillion, three hundred billion, two hundred ten million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 673 708 885 944 1180 1346 1416 1770 2019 2360 2692 2832 3365 3540 4038 4720 5384 6730 7080 8076 10095 10768 13460 14160 16152 20190 26920 32304 39707 40380 53840 79414 80760 119121 158828 161520 198535 238242 317656 397070 476484 595605 635312 794140 952968 1191210 1588280 1905936 2130209 2382420 3176560 4260418 4764840 6390627 8520836 9529680 10651045 12781254 17041672 21302090 25562508 31953135 34083344 42604180 51125016 63906270 85208360 102250032 125682331 127812540 170416720 251364662 255625080 377046993 502729324 511250160 628411655 754093986 1005458648 1256823310 1433630657 1508187972 1885234965 2010917296 2513646620 2867261314 3016375944 3770469930 4300891971 5027293240 5734522628 6032751888 7168153285 7540939860 8601783942 10054586480 11469045256 14336306570 15081879720 17203567884 21504459855 22938090512 28672613140 30163759440 34407135768 43008919710 57345226280 68814271536 84584208763 86017839420 114690452560 169168417526 172035678840 253752626289 338336835052 344071357680 422921043815 507505252578 676673670104 845842087630 1015010505156 1268763131445 1353347340208 1691684175260 2030021010312 2537526262890 3383368350520 4060042020624 5075052525780 6766736701040 10150105051560 20300210103120