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2120201100 = 2232524994721
BaseRepresentation
bin111111001011111…
…1011001110001100
312110202112101010200
41332113323032030
513320232413400
6550215133500
7103353261213
oct17627731614
95422471120
102120201100
11998886516
124b2074290
1327a341984
1416182807a
15c6207b00
hex7e5fb38c

2120201100 has 108 divisors (see below), whose sum is σ = 6660381000. Its totient is φ = 564134400.

The previous prime is 2120201099. The next prime is 2120201141. The reversal of 2120201100 is 11020212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 446740 + ... + 451460.

Almost surely, 22120201100 is an apocalyptic number.

2120201100 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 2120201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330190500).

2120201100 is an abundant number, since it is smaller than the sum of its proper divisors (4540179900).

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

2120201100 is a wasteful number, since it uses less digits than its factorization.

2120201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240 (or 5230 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2120201100 is about 46045.6414875502. The cubic root of 2120201100 is about 1284.6722758348.

Adding to 2120201100 its reverse (11020212), we get a palindrome (2131221312).

The spelling of 2120201100 in words is "two billion, one hundred twenty million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 499 900 998 1497 1996 2495 2994 4491 4721 4990 5988 7485 8982 9442 9980 12475 14163 14970 17964 18884 22455 23605 24950 28326 29940 37425 42489 44910 47210 49900 56652 70815 74850 84978 89820 94420 112275 118025 141630 149700 169956 212445 224550 236050 283260 354075 424890 449100 472100 708150 849780 1062225 1416300 2124450 2355779 4248900 4711558 7067337 9423116 11778895 14134674 21202011 23557790 28269348 35336685 42404022 47115580 58894475 70673370 84808044 106010055 117788950 141346740 176683425 212020110 235577900 353366850 424040220 530050275 706733700 1060100550 2120201100