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2002101210 = 2325311674297
BaseRepresentation
bin111011101010101…
…1010001111011010
312011112022021112200
41313111122033122
513100014214320
6530355551030
7100420402524
oct16725321732
95145267480
102002101210
119381522aa
1247a5bb476
1325ba31895
1414dc84a14
15bab7a290
hex7755a3da

2002101210 has 96 divisors (see below), whose sum is σ = 5406815232. Its totient is φ = 513457920.

The previous prime is 2002101181. The next prime is 2002101223. The reversal of 2002101210 is 121012002.

It is a super-3 number, since 3×20021012103 (a number of 29 digits) contains 333 as substring.

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 = 2002101192 and 2002101201.

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, 463782 + ... + 468078.

It is an arithmetic number, because the mean of its divisors is an integer number (56320992).

Almost surely, 22002101210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002101210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703407616).

2002101210 is an abundant number, since it is smaller than the sum of its proper divisors (3404714022).

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

2002101210 is a wasteful number, since it uses less digits than its factorization.

2002101210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508 (or 4505 counting only the distinct ones).

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

The square root of 2002101210 is about 44744.8456249432. The cubic root of 2002101210 is about 1260.3621219183.

Adding to 2002101210 its reverse (121012002), we get a palindrome (2123113212).

The spelling of 2002101210 in words is "two billion, two million, one hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 167 186 279 310 334 465 501 558 835 930 1002 1395 1503 1670 2505 2790 3006 4297 5010 5177 7515 8594 10354 12891 15030 15531 21485 25782 25885 31062 38673 42970 46593 51770 64455 77346 77655 93186 128910 133207 155310 193365 232965 266414 386730 399621 465930 666035 717599 799242 1198863 1332070 1435198 1998105 2152797 2397726 3587995 3996210 4305594 5994315 6458391 7175990 10763985 11988630 12916782 21527970 22245569 32291955 44491138 64583910 66736707 111227845 133473414 200210121 222455690 333683535 400420242 667367070 1001050605 2002101210