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2120300010 = 233517571809
BaseRepresentation
bin111111001100001…
…0011010111101010
312110202201101211000
41332120103113222
513320244100020
6550221215430
7103354152453
oct17630232752
95422641730
102120300010
11998943864
124b2101576
1327a3779ba
1416185212a
15c6227090
hex7e6135ea

2120300010 has 128 divisors (see below), whose sum is σ = 6004627200. Its totient is φ = 530565120.

The previous prime is 2120299999. The next prime is 2120300069. The reversal of 2120300010 is 100030212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2120299965 and 2120300001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2620486 + ... + 2621294.

It is an arithmetic number, because the mean of its divisors is an integer number (46911150).

Almost surely, 22120300010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120300010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002313600).

2120300010 is an abundant number, since it is smaller than the sum of its proper divisors (3884327190).

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

2120300010 is a wasteful number, since it uses less digits than its factorization.

2120300010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2120300010 is about 46046.7155180475. The cubic root of 2120300010 is about 1284.6922527070.

Adding to 2120300010 its reverse (100030212), we get a palindrome (2220330222).

The spelling of 2120300010 in words is "two billion, one hundred twenty million, three hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 571 765 809 918 1142 1530 1618 1713 2295 2427 2855 3426 4045 4590 4854 5139 5710 7281 8090 8565 9707 10278 12135 13753 14562 15417 17130 19414 21843 24270 25695 27506 29121 30834 36405 41259 43686 48535 51390 58242 68765 72810 77085 82518 87363 97070 109215 123777 137530 145605 154170 174726 206295 218430 247554 262089 291210 371331 412590 436815 461939 524178 618885 742662 873630 923878 1237770 1310445 1385817 1856655 2309695 2620890 2771634 3713310 4157451 4619390 6929085 7852963 8314902 12472353 13858170 15705926 20787255 23558889 24944706 39264815 41574510 47117778 62361765 70676667 78529630 117794445 124723530 141353334 212030001 235588890 353383335 424060002 706766670 1060150005 2120300010