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213303102201120 = 25352931516660283
BaseRepresentation
bin110000011111111101111111…
…101000101101110100100000
31000222020120120221101202111210
4300133331333220231310200
5210424224223130413440
62033354031542110120
762633432501304651
oct6037757750556440
91028216527352453
10213303102201120
1161a68379434a18
121bb0b6a141b340
13920351c691a59
143a95cd4b99528
15199d783415a80
hexc1ff7fa2dd20

213303102201120 has 96 divisors (see below), whose sum is σ = 674197962725952. Its totient is φ = 56686694700032.

The previous prime is 213303102201109. The next prime is 213303102201131. The reversal of 213303102201120 is 21102201303312.

It is an interprime number because it is at equal distance from previous prime (213303102201109) and next prime (213303102201131).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758189502 + ... + 758470781.

It is an arithmetic number, because the mean of its divisors is an integer number (7022895445062).

Almost surely, 2213303102201120 is an apocalyptic number.

213303102201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213303102201120 is an abundant number, since it is smaller than the sum of its proper divisors (460894860524832).

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

213303102201120 is a wasteful number, since it uses less digits than its factorization.

213303102201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516660594 (or 1516660586 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213303102201120 its reverse (21102201303312), we get a palindrome (234405303504432).

The spelling of 213303102201120 in words is "two hundred thirteen trillion, three hundred three billion, one hundred two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 293 480 586 879 1172 1465 1758 2344 2930 3516 4395 4688 5860 7032 8790 9376 11720 14064 17580 23440 28128 35160 46880 70320 140640 1516660283 3033320566 4549980849 6066641132 7583301415 9099961698 12133282264 15166602830 18199923396 22749904245 24266564528 30333205660 36399846792 45499808490 48533129056 60666411320 72799693584 90999616980 121332822640 145599387168 181999233960 242665645280 363998467920 444381462919 727996935840 888762925838 1333144388757 1777525851676 2221907314595 2666288777514 3555051703352 4443814629190 5332577555028 6665721943785 7110103406704 8887629258380 10665155110056 13331443887570 14220206813408 17775258516760 21330310220112 26662887775140 35550517033520 42660620440224 53325775550280 71101034067040 106651551100560 213303102201120