Search a number
-
+
102021211111212 = 223247190131718161
BaseRepresentation
bin10111001100100110101010…
…000011000011111100101100
3111101020010120121121110202100
4113030212222003003330230
5101333003420021024322
61000551521455255100
730326534501130561
oct2714465203037454
9441203517543670
10102021211111212
112a563a52a91838
12b53848921a490
1344c0735c699a3
141b29bd276a868
15bbdc149eadac
hex5cc9aa0c3f2c

102021211111212 has 72 divisors (see below), whose sum is σ = 263512459933632. Its totient is φ = 33266006208000.

The previous prime is 102021211111151. The next prime is 102021211111213. The reversal of 102021211111212 is 212111112120201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102021211111213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12642589 + ... + 19075572.

It is an arithmetic number, because the mean of its divisors is an integer number (3659895276856).

Almost surely, 2102021211111212 is an apocalyptic number.

102021211111212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102021211111212 is an abundant number, since it is smaller than the sum of its proper divisors (161491248822420).

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

102021211111212 is a wasteful number, since it uses less digits than its factorization.

102021211111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31720119 (or 31720114 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102021211111212 its reverse (212111112120201), we get a palindrome (314132323231413).

The spelling of 102021211111212 in words is "one hundred two trillion, twenty-one billion, two hundred eleven million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 1901 3802 5703 7604 11406 17109 22812 34218 68436 89347 178694 268041 357388 536082 804123 1072164 1608246 3216492 31718161 63436322 95154483 126872644 190308966 285463449 380617932 570926898 1141853796 1490753567 2981507134 4472260701 5963014268 8944521402 13416782103 17889042804 26833564206 53667128412 60296224061 120592448122 180888672183 241184896244 361777344366 542666016549 723554688732 1085332033098 2170664066196 2833922530867 5667845061734 8501767592601 11335690123468 17003535185202 25505302777803 34007070370404 51010605555606 102021211111212