Search a number
-
+
1520351121420 = 22325337144717321
BaseRepresentation
bin10110000111111011111…
…111010001000000001100
312101100021212212020000100
4112013323333101000030
5144402134341341140
63122234544531100
7214561501210035
oct26077377210014
95340255766010
101520351121420
115368606330aa
122067a2620a90
13b04a377a9a1
145382a431a8c
1529833d71530
hex161fbfd100c

1520351121420 has 144 divisors (see below), whose sum is σ = 4628880180288. Its totient is φ = 403921244160.

The previous prime is 1520351121407. The next prime is 1520351121427. The reversal of 1520351121420 is 241211530251.

It is a happy number.

1520351121420 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 3 + 511 + 2 + 142 + 0 = 666.

It is a super-2 number, since 2×15203511214202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1520351121427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87766360 + ... + 87783680.

It is an arithmetic number, because the mean of its divisors is an integer number (32145001252).

Almost surely, 21520351121420 is an apocalyptic number.

1520351121420 is a gapful number since it is divisible by the number (10) 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 1520351121420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314440090144).

1520351121420 is an abundant number, since it is smaller than the sum of its proper divisors (3108529058868).

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

1520351121420 is a wasteful number, since it uses less digits than its factorization.

1520351121420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19120 (or 19115 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 1520351121420 its reverse (241211530251), we get a palindrome (1761562651671).

The spelling of 1520351121420 in words is "one trillion, five hundred twenty billion, three hundred fifty-one million, one hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 337 674 1011 1348 1447 1685 2022 2894 3033 3370 4044 4341 5055 5788 6066 6740 7235 8682 10110 12132 13023 14470 15165 17321 17364 20220 21705 26046 28940 30330 34642 43410 51963 52092 60660 65115 69284 86605 86820 103926 130230 155889 173210 207852 259815 260460 311778 346420 487639 519630 623556 779445 975278 1039260 1462917 1558890 1950556 2438195 2925834 3117780 4388751 4876390 5837177 5851668 7314585 8777502 9752780 11674354 14629170 17511531 17555004 21943755 23348708 25063487 29185885 29258340 35023062 43887510 50126974 52534593 58371770 70046124 75190461 87557655 87775020 100253948 105069186 116743540 125317435 150380922 175115310 210138372 225571383 250634870 262672965 300761844 350230620 375952305 451142766 501269740 525345930 751904610 902285532 1050691860 1127856915 1503809220 2255713830 4511427660 8446395119 16892790238 25339185357 33785580476 42231975595 50678370714 76017556071 84463951190 101356741428 126695926785 152035112142 168927902380 253391853570 304070224284 380087780355 506783707140 760175560710 1520351121420