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2120012300 = 2252761131379
BaseRepresentation
bin111111001011100…
…1101001000001100
312110202011210011002
41332113031020030
513320210343200
6550211115432
7103351543610
oct17627151014
95422153132
102120012300
1199876768a
124b1ba2b78
1327a2a6a63
141617b9340
15c61bbbd5
hex7e5cd20c

2120012300 has 144 divisors (see below), whose sum is σ = 5398821120. Its totient is φ = 707616000.

The previous prime is 2120012287. The next prime is 2120012333. The reversal of 2120012300 is 32100212.

It is a happy 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, 5593511 + ... + 5593889.

Almost surely, 22120012300 is an apocalyptic number.

2120012300 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 2120012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699410560).

2120012300 is an abundant number, since it is smaller than the sum of its proper divisors (3278808820).

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

2120012300 is a wasteful number, since it uses less digits than its factorization.

2120012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2120012300 is about 46043.5913021563. The cubic root of 2120012300 is about 1284.6341421368.

Adding to 2120012300 its reverse (32100212), we get a palindrome (2152112512).

The spelling of 2120012300 in words is "two billion, one hundred twenty million, twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 61 70 100 122 131 140 175 244 262 305 350 379 427 524 610 655 700 758 854 917 1220 1310 1516 1525 1708 1834 1895 2135 2620 2653 3050 3275 3668 3790 4270 4585 5306 6100 6550 7580 7991 8540 9170 9475 10612 10675 13100 13265 15982 18340 18950 21350 22925 23119 26530 31964 37900 39955 42700 45850 46238 49649 53060 55937 66325 79910 91700 92476 99298 111874 115595 132650 159820 161833 198596 199775 223748 231190 248245 265300 279685 323666 347543 399550 462380 496490 559370 577975 647332 695086 799100 809165 992980 1118740 1155950 1241225 1390172 1398425 1618330 1737715 2311900 2482450 2796850 3028589 3236660 3475430 4045825 4964900 5593700 6057178 6950860 8091650 8688575 12114356 15142945 16183300 17377150 21200123 30285890 34754300 42400246 60571780 75714725 84800492 106000615 151429450 212001230 302858900 424002460 530003075 1060006150 2120012300