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103013210223 = 327111494192381
BaseRepresentation
bin101111111110000010…
…0001101100001101111
3100211220011112021121100
41133330010031201233
53141432340211343
6115153522334143
710304522560650
oct1377404154157
9324804467540
10103013210223
113a7622a9590
1217b6aaba353
139938b6aa81
144db3305527
152a2da3c9d3
hex17fc10d86f

103013210223 has 96 divisors (see below), whose sum is σ = 187282368000. Its totient is φ = 53005075200.

The previous prime is 103013210203. The next prime is 103013210231. The reversal of 103013210223 is 322012310301.

It is not a de Polignac number, because 103013210223 - 26 = 103013210159 is a prime.

It is a super-2 number, since 2×1030132102232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103013210196 and 103013210205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103013210203) 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, 43263493 + ... + 43265873.

It is an arithmetic number, because the mean of its divisors is an integer number (1950858000).

Almost surely, 2103013210223 is an apocalyptic number.

103013210223 is a deficient number, since it is larger than the sum of its proper divisors (84269157777).

103013210223 is a wasteful number, since it uses less digits than its factorization.

103013210223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103013210223 its reverse (322012310301), we get a palindrome (425025520524).

It can be divided in two parts, 103013 and 210223, that added together give a triangular number (313236 = T791).

The spelling of 103013210223 in words is "one hundred three billion, thirteen million, two hundred ten thousand, two hundred twenty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 149 231 419 447 693 1043 1257 1341 1639 2381 2933 3129 3771 4609 4917 7143 8799 9387 11473 13827 14751 16667 21429 26191 26397 32263 34419 41481 50001 62431 78573 96789 103257 150003 183337 187293 235719 290367 354769 437017 550011 561879 686741 997639 1064307 1311051 1650033 2060223 2483383 2992917 3192921 3902459 3933153 4807187 6180669 6983473 7450149 8978751 10974029 11707377 14421561 20950419 22350447 27317213 32922087 35122131 43264683 62851257 76818203 81951639 98766261 148648211 230454609 245854917 445944633 691363827 1040537477 1337833899 1635130321 3121612431 4905390963 9364837293 11445912247 14716172889 34337736741 103013210223