Search a number
-
+
102402021200130 = 232517232909975027
BaseRepresentation
bin10111010010001001010100…
…000110010001000100000010
3111102120112111220222100120200
4113102021110012101010002
5101410223314411401010
61001442501125150030
730366205355361141
oct2722112406210402
9442515456870520
10102402021200130
112a6a04a9396993
12b59a24585b316
13451a6139a6452
141b403da07b758
15bc8aa1844cc0
hex5d2254191102

102402021200130 has 96 divisors (see below), whose sum is σ = 294163555630464. Its totient is φ = 24583469019648.

The previous prime is 102402021200081. The next prime is 102402021200131. The reversal of 102402021200130 is 31002120204201.

It is a happy number.

102402021200130 is a `hidden beast` number, since 10 + 2 + 402 + 0 + 2 + 120 + 0 + 130 = 666.

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 (102402021200131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1454952324 + ... + 1455022703.

It is an arithmetic number, because the mean of its divisors is an integer number (3064203704484).

Almost surely, 2102402021200130 is an apocalyptic number.

102402021200130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102402021200130 is an abundant number, since it is smaller than the sum of its proper divisors (191761534430334).

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

102402021200130 is a wasteful number, since it uses less digits than its factorization.

102402021200130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909975080 (or 2909975077 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102402021200130 its reverse (31002120204201), we get a palindrome (133404141404331).

The spelling of 102402021200130 in words is "one hundred two trillion, four hundred two billion, twenty-one million, two hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 23 30 34 45 46 51 69 85 90 102 115 138 153 170 207 230 255 306 345 391 414 510 690 765 782 1035 1173 1530 1955 2070 2346 3519 3910 5865 7038 11730 17595 35190 2909975027 5819950054 8729925081 14549875135 17459850162 26189775243 29099750270 43649625405 49469575459 52379550486 66929425621 87299250810 98939150918 130948876215 133858851242 148408726377 200788276863 247347877295 261897752430 296817452754 334647128105 401576553726 445226179131 494695754590 602364830589 669294256210 742043631885 890452358262 1003941384315 1137800235557 1204729661178 1484087263770 2007882768630 2226130895655 2275600471114 3011824152945 3413400706671 4452261791310 5689001177785 6023648305890 6826801413342 10240202120013 11378002355570 17067003533355 20480404240026 34134007066710 51201010600065 102402021200130