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103030301322 = 233131918794111
BaseRepresentation
bin101111111110100010…
…1011010001010001010
3100211221100200121012000
41133331011122022022
53142001224120242
6115155332531430
710305121053144
oct1377505321212
9324840617160
10103030301322
113a770a12363
1217b74780b76
13993c573150
144db56b3c94
152a302b6a4c
hex17fd15a28a

103030301322 has 128 divisors (see below), whose sum is σ = 259746816000. Its totient is φ = 30009839040.

The previous prime is 103030301321. The next prime is 103030301323. The reversal of 103030301322 is 223103030301.

103030301322 is a `hidden beast` number, since 10 + 3 + 0 + 30 + 301 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (103030301321) and next prime (103030301323).

It is a super-2 number, since 2×1030303013222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103030301295 and 103030301304.

It is not an unprimeable number, because it can be changed into a prime (103030301321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25060047 + ... + 25064157.

It is an arithmetic number, because the mean of its divisors is an integer number (2029272000).

Almost surely, 2103030301322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103030301322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129873408000).

103030301322 is an abundant number, since it is smaller than the sum of its proper divisors (156716514678).

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

103030301322 is a wasteful number, since it uses less digits than its factorization.

103030301322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6033 (or 6027 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103030301322 its reverse (223103030301), we get a palindrome (326133331623).

The spelling of 103030301322 in words is "one hundred three billion, thirty million, three hundred one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 1879 2223 3758 4111 4446 5637 6669 8222 11274 12333 13338 16911 24427 24666 33822 35701 36999 48854 50733 53443 71402 73281 73998 78109 101466 106886 107103 110997 146562 156218 160329 214206 219843 221994 234327 320658 321309 439686 464113 468654 480987 642618 659529 702981 928226 961974 963927 1015417 1319058 1392339 1405962 1442961 1927854 2030834 2108943 2784678 2885922 3046251 4177017 4217886 6092502 7724569 8354034 9138753 12531051 15449138 18277506 23173707 25062102 27416259 46347414 54832518 69521121 100419397 139042242 146766811 200838794 208563363 293533622 301258191 417126726 440300433 602516382 880600866 903774573 1320901299 1807549146 1907968543 2641802598 2711323719 3815937086 3962703897 5422647438 5723905629 7925407794 11447811258 17171716887 34343433774 51515150661 103030301322