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103416133227 = 31121974613137
BaseRepresentation
bin110000001010000010…
…1001111011001101011
3100212221020200220001120
41200110011033121223
53143244012230402
6115301514350323
710320514425411
oct1402405173153
9325836626046
10103416133227
113a949790600
1218061a2b3a3
1399a1493954
145010a2b2b1
152a540cc3bc
hex181414f66b

103416133227 has 48 divisors (see below), whose sum is σ = 152711498016. Its totient is φ = 62203187200.

The previous prime is 103416133181. The next prime is 103416133253. The reversal of 103416133227 is 722331614301.

It is a happy number.

It is not a de Polignac number, because 103416133227 - 28 = 103416132971 is a prime.

It is a super-2 number, since 2×1034161332272 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (103416133297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32965003 + ... + 32968139.

It is an arithmetic number, because the mean of its divisors is an integer number (3181489542).

Almost surely, 2103416133227 is an apocalyptic number.

103416133227 is a deficient number, since it is larger than the sum of its proper divisors (49295364789).

103416133227 is a wasteful number, since it uses less digits than its factorization.

103416133227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

Adding to 103416133227 its reverse (722331614301), we get a palindrome (825747747528).

The spelling of 103416133227 in words is "one hundred three billion, four hundred sixteen million, one hundred thirty-three thousand, two hundred twenty-seven".

Divisors: 1 3 11 33 121 197 363 461 591 1383 2167 3137 5071 6501 9411 15213 23837 34507 55781 71511 90817 103521 167343 272451 379577 617989 998987 1138731 1446157 1853967 2996961 4338471 6797879 10988857 15907727 20393637 32966571 47723181 74776669 174984997 224330007 284892929 524954991 854678787 3133822219 9401466657 34472044409 103416133227