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103223133234 = 232131938236073
BaseRepresentation
bin110000000100010010…
…1000000010000110010
3100212102210112110211200
41200020211000100302
53142400110230414
6115230421552030
710312652104254
oct1401045002062
9325383473750
10103223133234
113a85a849881
1218009275616
1399704ba880
144dd314bcd4
152a421a7109
hex1808940432

103223133234 has 96 divisors (see below), whose sum is σ = 253638577920. Its totient is φ = 30076510464.

The previous prime is 103223133227. The next prime is 103223133239. The reversal of 103223133234 is 432331322301.

103223133234 is a `hidden beast` number, since 1 + 0 + 3 + 22 + 313 + 323 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103223133198 and 103223133207.

It is not an unprimeable number, because it can be changed into a prime (103223133239) 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, 16994022 + ... + 17000094.

It is an arithmetic number, because the mean of its divisors is an integer number (2642068520).

Almost surely, 2103223133234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103223133234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126819288960).

103223133234 is an abundant number, since it is smaller than the sum of its proper divisors (150415444686).

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

103223133234 is a wasteful number, since it uses less digits than its factorization.

103223133234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9936 (or 9933 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 103223133234 its reverse (432331322301), we get a palindrome (535554455535).

The spelling of 103223133234 in words is "one hundred three billion, two hundred twenty-three million, one hundred thirty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 3823 4446 6073 7646 11469 12146 18219 22938 34407 36438 49699 54657 68814 72637 78949 99398 109314 115387 145274 149097 157898 217911 230774 236847 298194 346161 435822 447291 473694 653733 692322 710541 894582 944281 1038483 1307466 1421082 1500031 1888562 2076966 2832843 3000062 4500093 5665686 8498529 9000186 13500279 16997058 23217079 27000558 46434158 69651237 139302474 208953711 301822027 417907422 441124501 603644054 882249002 905466081 1323373503 1810932162 2646747006 2716398243 3970120509 5432796486 5734618513 7940241018 11469237026 17203855539 34407711078 51611566617 103223133234