Search a number
-
+
102220202111121 = 3523101607298327
BaseRepresentation
bin10111001111011111111110…
…110101011111000010010001
3111101221011012122021122100000
4113033133332311133002101
5101344233433220023441
61001223151303120213
730350110620540423
oct2717377665370221
9441834178248300
10102220202111121
112a630387242266
12b56ab62a43069
13450642921a293
141b356ac83a813
15bc3eae5b22b6
hex5cf7fed5f091

102220202111121 has 96 divisors (see below), whose sum is σ = 161625690390528. Its totient is φ = 64431972158400.

The previous prime is 102220202111099. The next prime is 102220202111129. The reversal of 102220202111121 is 121111202022201.

102220202111121 is a `hidden beast` number, since 10 + 2 + 220 + 202 + 111 + 121 = 666.

It is not a de Polignac number, because 102220202111121 - 210 = 102220202110097 is a prime.

It is a super-2 number, since 2×1022202021111212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102220202111094 and 102220202111103.

It is not an unprimeable number, because it can be changed into a prime (102220202111129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 342495660 + ... + 342793986.

It is an arithmetic number, because the mean of its divisors is an integer number (1683600941568).

Almost surely, 2102220202111121 is an apocalyptic number.

It is an amenable number.

102220202111121 is a deficient number, since it is larger than the sum of its proper divisors (59405488279407).

102220202111121 is a wasteful number, since it uses less digits than its factorization.

102220202111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299073 (or 299061 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102220202111121 its reverse (121111202022201), we get a palindrome (223331404133322).

The spelling of 102220202111121 in words is "one hundred two trillion, two hundred twenty billion, two hundred two million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 23 27 69 81 101 207 243 303 607 621 909 1821 1863 2323 2727 5463 5589 6969 8181 13961 16389 20907 24543 41883 49167 61307 62721 125649 147501 183921 188163 298327 376947 551763 564489 894981 1130841 1410061 1655289 2684943 3392523 4230183 4965867 6861521 8054829 12690549 14897601 20584563 24164487 30131027 38071647 61753689 72493461 90393081 114214941 181084489 185261067 271179243 342644823 543253467 555783201 693013621 813537729 1629760401 1667349603 2079040863 2440613187 4164943247 4889281203 6237122589 7321839561 12494829741 14667843609 18289533389 18711367767 37484489223 44003530827 54868600167 56134103301 112453467669 164605800501 168402309903 337360403007 420659267947 493817401503 1012081209021 1261977803841 1481452204509 3785933411523 4444356613527 11357800234569 34073400703707 102220202111121