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1234224124133 = 7112131012274889
BaseRepresentation
bin10001111101011101011…
…111011001000011100101
311100222202012102202022112
4101331131133121003211
5130210142333433013
62342554510210405
7155112136646420
oct21753537310345
94328665382275
101234224124133
11436482384100
1217b24b1b3a05
138c504b54130
1443a459889b7
15221895abba8
hex11f5d7d90e5

1234224124133 has 96 divisors (see below), whose sum is σ = 1694000528640. Its totient is φ = 874912896000.

The previous prime is 1234224124127. The next prime is 1234224124183. The reversal of 1234224124133 is 3314214224321.

It is a happy number.

It is not a de Polignac number, because 1234224124133 - 212 = 1234224120037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1234224124133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234224124183) 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, 252446753 + ... + 252451641.

It is an arithmetic number, because the mean of its divisors is an integer number (17645838840).

Almost surely, 21234224124133 is an apocalyptic number.

1234224124133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1234224124133 is a deficient number, since it is larger than the sum of its proper divisors (459776404507).

1234224124133 is a wasteful number, since it uses less digits than its factorization.

1234224124133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5259 (or 5248 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

Adding to 1234224124133 its reverse (3314214224321), we get a palindrome (4548438348454).

The spelling of 1234224124133 in words is "one trillion, two hundred thirty-four billion, two hundred twenty-four million, one hundred twenty-four thousand, one hundred thirty-three".

Divisors: 1 7 11 13 77 91 101 121 143 227 707 847 1001 1111 1313 1573 1589 2497 2951 4889 7777 9191 11011 12221 14443 17479 20657 22927 27467 32461 34223 53779 63557 85547 101101 158873 160489 192269 227227 252197 298051 357071 376453 444899 493789 591569 699127 1109803 1112111 1765379 2086357 2499497 2774167 3278561 3456523 4140983 4893889 5431679 6419257 7690397 7768621 12207833 14427439 19419169 22949927 36064171 38021753 44934799 53832779 59748469 70611827 85454831 100992073 112090103 134286163 158701829 252449197 418239283 494282789 776730097 784630721 940003141 1110912803 1232991133 1457171339 1745720119 5437110679 8630937931 10200199373 12220040833 13562902463 16028884729 94940317241 112202193103 176317732019 1234224124133