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1221315030 = 233513349997
BaseRepresentation
bin100100011001011…
…1100100111010110
310011010010020021000
41020302330213112
510000124040110
6321105004130
742160002135
oct11062744726
93133106230
101221315030
11577445071
122a1023646
13166048320
14b82bb91c
157234b1c0
hex48cbc9d6

1221315030 has 128 divisors (see below), whose sum is σ = 3520944000. Its totient is φ = 299469312.

The previous prime is 1221314999. The next prime is 1221315059. The reversal of 1221315030 is 305131221.

1221315030 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12213150302 = 2983220805007801800, which 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 = 1221314994 and 1221315012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1224492 + ... + 1225488.

It is an arithmetic number, because the mean of its divisors is an integer number (27507375).

Almost surely, 21221315030 is an apocalyptic number.

1221315030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221315030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760472000).

1221315030 is an abundant number, since it is smaller than the sum of its proper divisors (2299628970).

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

1221315030 is a wasteful number, since it uses less digits than its factorization.

1221315030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1221315030 is about 34947.3179228392. The cubic root of 1221315030 is about 1068.9135126861.

Adding to 1221315030 its reverse (305131221), we get a palindrome (1526446251).

The spelling of 1221315030 in words is "one billion, two hundred twenty-one million, three hundred fifteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 349 351 390 585 698 702 997 1047 1170 1745 1755 1994 2094 2991 3141 3490 3510 4537 4985 5235 5982 6282 8973 9074 9423 9970 10470 12961 13611 14955 15705 17946 18846 22685 25922 26919 27222 29910 31410 38883 40833 44865 45370 47115 53838 64805 68055 77766 81666 89730 94230 116649 122499 129610 134595 136110 194415 204165 233298 244998 269190 347953 349947 388830 408330 583245 612495 695906 699894 1043859 1166490 1224990 1739765 1749735 2087718 3131577 3479530 3499470 4523389 5219295 6263154 9046778 9394731 10438590 13570167 15657885 18789462 22616945 27140334 31315770 40710501 45233890 46973655 67850835 81421002 93947310 122131503 135701670 203552505 244263006 407105010 610657515 1221315030