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102230213217 = 311234313123911
BaseRepresentation
bin101111100110101100…
…1010100001001100001
3100202212121011220122020
41133031121110021201
53133331413310332
6114544112132053
710246234321566
oct1371531241141
9322777156566
10102230213217
113a3a0321320
1217990837029
13984288c132
144d3b32486d
1529d4e2382c
hex17cd654261

102230213217 has 64 divisors (see below), whose sum is σ = 159990792192. Its totient is φ = 57441384000.

The previous prime is 102230213213. The next prime is 102230213219. The reversal of 102230213217 is 712312032201.

It is a happy number.

It is not a de Polignac number, because 102230213217 - 22 = 102230213213 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102230213213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4263492 + ... + 4287402.

It is an arithmetic number, because the mean of its divisors is an integer number (2499856128).

Almost surely, 2102230213217 is an apocalyptic number.

It is an amenable number.

102230213217 is a deficient number, since it is larger than the sum of its proper divisors (57760578975).

102230213217 is a wasteful number, since it uses less digits than its factorization.

102230213217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24122.

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 102230213217 its reverse (712312032201), we get a palindrome (814542245418).

The spelling of 102230213217 in words is "one hundred two billion, two hundred thirty million, two hundred thirteen thousand, two hundred seventeen".

Divisors: 1 3 11 23 33 43 69 129 131 253 393 473 759 989 1419 1441 2967 3013 4323 5633 9039 10879 16899 23911 32637 33143 61963 71733 99429 129559 185889 263021 388677 549953 789063 1028173 1425149 1649859 3084519 3132341 4275447 6049483 9397023 11309903 18148449 23647979 33929709 34455751 70943937 72043843 103367253 134690663 216131529 260127769 404071989 780383307 792482273 1481597293 2377446819 3097885249 4444791879 9293655747 34076737739 102230213217