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103016622324 = 223711231731973
BaseRepresentation
bin101111111110001000…
…1001110100011110100
3100211220101221122010110
41133330101032203310
53141434223403244
6115154123423020
710304563561530
oct1377421164364
9324811848113
10103016622324
113a76421a100
1217b70084a70
139939793b75
144db3952bc0
152a2deb39b9
hex17fc44e8f4

103016622324 has 144 divisors (see below), whose sum is σ = 302917071744. Its totient is φ = 26672321280.

The previous prime is 103016622301. The next prime is 103016622347. The reversal of 103016622324 is 423226610301.

It is an interprime number because it is at equal distance from previous prime (103016622301) and next prime (103016622347).

It is a super-2 number, since 2×1030166223242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103016622291 and 103016622300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3206002 + ... + 3237974.

It is an arithmetic number, because the mean of its divisors is an integer number (2103590776).

Almost surely, 2103016622324 is an apocalyptic number.

103016622324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103016622324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151458535872).

103016622324 is an abundant number, since it is smaller than the sum of its proper divisors (199900449420).

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

103016622324 is a wasteful number, since it uses less digits than its factorization.

103016622324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32326 (or 32313 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 103016622324 in words is "one hundred three billion, sixteen million, six hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 317 363 462 484 634 726 847 924 951 1268 1452 1694 1902 2219 2541 3388 3487 3804 4438 5082 6657 6974 8876 10164 10461 13314 13948 20922 24409 26628 31973 38357 41844 48818 63946 73227 76714 95919 97636 115071 127892 146454 153428 191838 223811 230142 268499 292908 351703 383676 447622 460284 536998 671433 703406 805497 895244 1055109 1073996 1342866 1406812 1610994 2110218 2461921 2685732 3221988 3868733 4220436 4923842 7385763 7737466 9847684 10135441 11606199 14771526 15474932 20270882 23212398 27081131 29543052 30406323 40541764 46424796 54162262 60812646 70948087 81243393 108324524 111489851 121625292 141896174 162486786 212844261 222979702 283792348 324973572 334469553 425688522 445959404 668939106 780428957 851377044 1226388361 1337878212 1560857914 2341286871 2452776722 3121715828 3679165083 4682573742 4905553444 7358330166 8584718527 9365147484 14716660332 17169437054 25754155581 34338874108 51508311162 103016622324