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1210002310132 = 22711210315122963
BaseRepresentation
bin10001100110111001110…
…000100000001111110100
311021200020010211010000021
4101212321300200033310
5124311041042411012
62323511204454524
7153263661636040
oct21467160401764
94250203733007
101210002310132
11427182839800
1217660b3aa444
138a144903805
14427c8acd020
152171cda3007
hex119b9c203f4

1210002310132 has 144 divisors (see below), whose sum is σ = 2703735064576. Its totient is φ = 463740552000.

The previous prime is 1210002310123. The next prime is 1210002310133. The reversal of 1210002310132 is 2310132000121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210002310133) by changing a digit.

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, 52682083 + ... + 52705045.

Almost surely, 21210002310132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210002310132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351867532288).

1210002310132 is an abundant number, since it is smaller than the sum of its proper divisors (1493732754444).

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

1210002310132 is a wasteful number, since it uses less digits than its factorization.

1210002310132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23250 (or 23237 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1210002310132 its reverse (2310132000121), we get a palindrome (3520134310253).

The spelling of 1210002310132 in words is "one trillion, two hundred ten billion, two million, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 103 121 151 154 206 242 302 308 412 484 604 721 847 1057 1133 1442 1661 1694 2114 2266 2884 3322 3388 4228 4532 6644 7931 11627 12463 15553 15862 18271 22963 23254 24926 31106 31724 36542 45926 46508 49852 62212 73084 87241 91852 108871 127897 160741 171083 174482 217742 252593 255794 321482 342166 348964 435484 505186 511588 642964 684332 1010372 1197581 1768151 1881913 2365189 2395162 2778523 3467413 3536302 3763826 4730378 4790324 5557046 6934826 7072604 7527652 9460756 11114092 13173391 13869652 16556323 19449661 24271891 26017079 26346782 33112646 38141543 38899322 48543782 52034158 52693564 66225292 76283086 77798644 97087564 104068316 152566172 182119553 266990801 286187869 357143539 364239106 419556973 533981602 572375738 714287078 728478212 839113946 1067963204 1144751476 1428574156 1678227892 2003315083 2500004773 2936898811 3928578929 4006630166 5000009546 5873797622 7857157858 8013260332 10000019092 11747595244 15714315716 27500052503 43214368219 55000105006 86428736438 110000210012 172857472876 302500577533 605001155066 1210002310132