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103031220060 = 2232518130710301
BaseRepresentation
bin101111111110100100…
…0111010011101011100
3100211221102102021110100
41133331020322131130
53142001443020220
6115155404341100
710305131630526
oct1377510723534
9324842367410
10103031220060
113a77148a64a
1217b74b44790
13993c805392
144db5872a16
152a303e8d90
hex17fd23a75c

103031220060 has 144 divisors (see below), whose sum is σ = 315308945952. Its totient is φ = 27231552000.

The previous prime is 103031220041. The next prime is 103031220077. The reversal of 103031220060 is 60022130301.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9996910 + ... + 10007210.

It is an arithmetic number, because the mean of its divisors is an integer number (2189645458).

Almost surely, 2103031220060 is an apocalyptic number.

103031220060 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 103031220060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157654472976).

103031220060 is an abundant number, since it is smaller than the sum of its proper divisors (212277725892).

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

103031220060 is a wasteful number, since it uses less digits than its factorization.

103031220060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10804 (or 10799 counting only the distinct ones).

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

Adding to 103031220060 its reverse (60022130301), we get a palindrome (163053350361).

The spelling of 103031220060 in words is "one hundred three billion, thirty-one million, two hundred twenty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 181 307 362 543 614 724 905 921 1086 1228 1535 1629 1810 1842 2172 2715 2763 3070 3258 3620 3684 4605 5430 5526 6140 6516 8145 9210 10301 10860 11052 13815 16290 18420 20602 27630 30903 32580 41204 51505 55260 55567 61806 92709 103010 111134 123612 154515 166701 185418 206020 222268 277835 309030 333402 370836 463545 500103 555670 618060 666804 833505 927090 1000206 1111340 1667010 1854180 1864481 2000412 2500515 3162407 3334020 3728962 5001030 5593443 6324814 7457924 9322405 9487221 10002060 11186886 12649628 15812035 16780329 18644810 18974442 22373772 27967215 28461663 31624070 33560658 37289620 37948884 47436105 55934430 56923326 63248140 67121316 83901645 94872210 111868860 113846652 142308315 167803290 189744420 284616630 335606580 569233260 572395667 1144791334 1717187001 2289582668 2861978335 3434374002 5151561003 5723956670 6868748004 8585935005 10303122006 11447913340 17171870010 20606244012 25757805015 34343740020 51515610030 103031220060