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1035503400030 = 2351171223919739
BaseRepresentation
bin11110001000110001100…
…11111111010001011110
310122222211000100000102220
433010120303333101132
5113431202332300110
62111411555330210
7134545511446641
oct17043063772136
93588730300386
101035503400030
1136a177745910
1214882bbb0966
1376855895058
1438193751a58
151be085d2370
hexf118cff45e

1035503400030 has 128 divisors (see below), whose sum is σ = 2750688460800. Its totient is φ = 247372406400.

The previous prime is 1035503399999. The next prime is 1035503400119. The reversal of 1035503400030 is 300043055301.

It is a happy number.

It is a super-3 number, since 3×10355034000303 (a number of 37 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 52449901 + ... + 52469639.

It is an arithmetic number, because the mean of its divisors is an integer number (21489753600).

Almost surely, 21035503400030 is an apocalyptic number.

1035503400030 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 1035503400030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375344230400).

1035503400030 is an abundant number, since it is smaller than the sum of its proper divisors (1715185060770).

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

1035503400030 is a wasteful number, since it uses less digits than its factorization.

1035503400030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22070.

The product of its (nonzero) digits is 2700, while the sum is 24.

Adding to 1035503400030 its reverse (300043055301), we get a palindrome (1335546455331).

The spelling of 1035503400030 in words is "one trillion, thirty-five billion, five hundred three million, four hundred thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 142 165 213 330 355 426 710 781 1065 1562 2130 2239 2343 3905 4478 4686 6717 7810 11195 11715 13434 19739 22390 23430 24629 33585 39478 49258 59217 67170 73887 98695 118434 123145 147774 158969 197390 217129 246290 296085 317938 369435 434258 476907 592170 651387 738870 794845 953814 1085645 1302774 1401469 1589690 1748659 2171290 2384535 2802938 3256935 3497318 4204407 4769070 5245977 6513870 7007345 8408814 8743295 10491954 14014690 15416159 17486590 21022035 26229885 30832318 42044070 44195621 46248477 52459770 77080795 88391242 92496954 132586863 154161590 220978105 231242385 265173726 441956210 462484770 486151831 662934315 972303662 1325868630 1458455493 2430759155 2916910986 3137889091 4861518310 6275778182 7292277465 9413667273 14584554930 15689445455 18827334546 31378890910 34516780001 47068336365 69033560002 94136672730 103550340003 172583900005 207100680006 345167800010 517751700015 1035503400030