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2101202010 = 2325311315749
BaseRepresentation
bin111110100111101…
…1100110001011010
312102102210010021200
41331033130301122
513300401431020
6544300015030
7103032631245
oct17517346132
95372703250
102101202010
1198908a196
124a7831476
1327641bccb
1415d0c025c
15c4703590
hex7d3dcc5a

2101202010 has 96 divisors (see below), whose sum is σ = 5683392000. Its totient is φ = 538012800.

The previous prime is 2101201967. The next prime is 2101202029. The reversal of 2101202010 is 102021012.

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 = 2101201983 and 2101202001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362616 + ... + 368364.

It is an arithmetic number, because the mean of its divisors is an integer number (59202000).

Almost surely, 22101202010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101202010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841696000).

2101202010 is an abundant number, since it is smaller than the sum of its proper divisors (3582189990).

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

2101202010 is a wasteful number, since it uses less digits than its factorization.

2101202010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5924 (or 5921 counting only the distinct ones).

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

The square root of 2101202010 is about 45838.8700776972. The cubic root of 2101202010 is about 1280.8234467923.

Adding to 2101202010 its reverse (102021012), we get a palindrome (2203223022).

The spelling of 2101202010 in words is "two billion, one hundred one million, two hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 131 155 186 262 279 310 393 465 558 655 786 930 1179 1310 1395 1965 2358 2790 3930 4061 5749 5895 8122 11498 11790 12183 17247 20305 24366 28745 34494 36549 40610 51741 57490 60915 73098 86235 103482 121830 172470 178219 182745 258705 356438 365490 517410 534657 753119 891095 1069314 1506238 1603971 1782190 2259357 2673285 3207942 3765595 4518714 5346570 6778071 7531190 8019855 11296785 13556142 16039710 22593570 23346689 33890355 46693378 67780710 70040067 116733445 140080134 210120201 233466890 350200335 420240402 700400670 1050601005 2101202010