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1210002122010 = 2351138310519109
BaseRepresentation
bin10001100110111001101…
…111110010010100011010
311021200020010110112221210
4101212321233302110122
5124311041020401020
62323511200443550
7153263660223423
oct21467157622432
94250203415853
101210002122010
11427182720430
1217660b3195b6
138a144868cb6
14427c8a8064a
152171cd673e0
hex119b9bf251a

1210002122010 has 128 divisors (see below), whose sum is σ = 3179648286720. Its totient is φ = 292257504000.

The previous prime is 1210002121963. The next prime is 1210002122011. The reversal of 1210002122010 is 102212000121.

It is not an unprimeable number, because it can be changed into a prime (1210002122011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132831336 + ... + 132840444.

It is an arithmetic number, because the mean of its divisors is an integer number (24841002240).

Almost surely, 21210002122010 is an apocalyptic number.

1210002122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210002122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589824143360).

1210002122010 is an abundant number, since it is smaller than the sum of its proper divisors (1969646164710).

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

1210002122010 is a wasteful number, since it uses less digits than its factorization.

1210002122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10564.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1210002122010 its reverse (102212000121), we get a palindrome (1312214122131).

The spelling of 1210002122010 in words is "one trillion, two hundred ten billion, two million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 383 766 1051 1149 1915 2102 2298 3153 3830 4213 5255 5745 6306 8426 9109 10510 11490 11561 12639 15765 18218 21065 23122 25278 27327 31530 34683 42130 45545 54654 57805 63195 69366 91090 100199 115610 126390 136635 173415 200398 273270 300597 346830 402533 500995 601194 805066 1001990 1207599 1502985 2012665 2415198 3005970 3488747 4025330 4427863 6037995 6977494 8855726 9573559 10466241 12075990 13283589 17443735 19147118 20932482 22139315 26567178 28720677 34887470 38376217 44278630 47867795 52331205 57441354 66417945 76752434 95735590 104662410 105309149 115128651 132835890 143603385 191881085 210618298 230257302 287206770 315927447 383762170 526545745 575643255 631854894 1053091490 1151286510 1579637235 3159274470 3666673097 7333346194 11000019291 18333365485 22000038582 36666730970 40333404067 55000096455 80666808134 110000192910 121000212201 201667020335 242000424402 403334040670 605001061005 1210002122010