Search a number
-
+
102213202120110 = 232543919081135581
BaseRepresentation
bin10111001111011001011101…
…100110101000110110101110
3111101220111010210120020212200
4113033121131212220312232
5101344130114220320420
61001220032525042330
730346442301566364
oct2717313546506656
9441814123506780
10102213202120110
112a6284149a4424
12b56972a6b63a6
134505881c18473
141b35206cc3634
15bc3beec9ab90
hex5cf65d9a8dae

102213202120110 has 96 divisors (see below), whose sum is σ = 266375612543040. Its totient is φ = 27193139596800.

The previous prime is 102213202120109. The next prime is 102213202120123. The reversal of 102213202120110 is 11021202312201.

102213202120110 is a `hidden beast` number, since 1 + 0 + 2 + 21 + 320 + 212 + 0 + 110 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 753822520 + ... + 753958100.

It is an arithmetic number, because the mean of its divisors is an integer number (2774745963990).

Almost surely, 2102213202120110 is an apocalyptic number.

102213202120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102213202120110 is an abundant number, since it is smaller than the sum of its proper divisors (164162410422930).

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

102213202120110 is a wasteful number, since it uses less digits than its factorization.

102213202120110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155114 (or 155111 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102213202120110 its reverse (11021202312201), we get a palindrome (113234404432311).

The spelling of 102213202120110 in words is "one hundred two trillion, two hundred thirteen billion, two hundred two million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 439 878 1317 2195 2634 3951 4390 6585 7902 13170 19081 19755 38162 39510 57243 95405 114486 135581 171729 190810 271162 286215 343458 406743 572430 677905 813486 858645 1220229 1355810 1717290 2033715 2440458 4067430 6101145 8376559 12202290 16753118 25129677 41882795 50259354 59520059 75389031 83765590 119040118 125648385 150778062 178560177 251296770 297600295 357120354 376945155 535680531 595200590 753890310 892800885 1071361062 1785601770 2587021061 2678402655 5174042122 5356805310 7761063183 12935105305 15522126366 23283189549 25870210610 38805315915 46566379098 77610631830 116415947745 232831895490 1135702245779 2271404491558 3407106737337 5678511228895 6814213474674 10221320212011 11357022457790 17035533686685 20442640424022 34071067373370 51106601060055 102213202120110