Search a number
-
+
120303033041010 = 235292575147104537
BaseRepresentation
bin11011010110101000111011…
…100011001100000001110010
3120202221212011012220111202210
4123112220323203030001302
5111232021102424303020
61103510241142352550
734224415210424631
oct3326507343140162
9522855135814683
10120303033041010
1135372258949076
12115ab64a42b756
1352186b173acb1
14219c9aad39518
15dd95582333e0
hex6d6a3b8cc072

120303033041010 has 128 divisors (see below), whose sum is σ = 299906709822720. Its totient is φ = 30847760728064.

The previous prime is 120303033040999. The next prime is 120303033041131. The reversal of 120303033041010 is 10140330303021.

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, 1150765462 + ... + 1150869998.

It is an arithmetic number, because the mean of its divisors is an integer number (2343021170490).

Almost surely, 2120303033041010 is an apocalyptic number.

120303033041010 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 120303033041010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149953354911360).

120303033041010 is an abundant number, since it is smaller than the sum of its proper divisors (179603676781710).

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

120303033041010 is a wasteful number, since it uses less digits than its factorization.

120303033041010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109980.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 120303033041010 its reverse (10140330303021), we get a palindrome (130443363344031).

The spelling of 120303033041010 in words is "one hundred twenty trillion, three hundred three billion, thirty-three million, forty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 257 290 435 514 771 870 1285 1542 2570 3855 5147 7453 7710 10294 14906 15441 22359 25735 30882 37265 44718 51470 74530 77205 104537 111795 149263 154410 209074 223590 298526 313611 447789 522685 627222 746315 895578 1045370 1322779 1492630 1568055 2238945 2645558 3031573 3136110 3968337 4477890 6063146 6613895 7936674 9094719 13227790 15157865 18189438 19841685 26866009 30315730 38360591 39683370 45473595 53732018 76721182 80598027 90947190 115081773 134330045 161196054 191802955 230163546 268660090 383605910 402990135 538051939 575408865 779114261 805980270 1076103878 1150817730 1558228522 1614155817 2337342783 2690259695 3228311634 3895571305 4674685566 5380519390 7791142610 8070779085 11686713915 15603506231 16141558170 23373427830 31207012462 46810518693 78017531155 93621037386 138279348323 156035062310 234052593465 276558696646 414838044969 468105186930 691396741615 829676089938 1382793483230 2074190224845 4010101101367 4148380449690 8020202202734 12030303304101 20050505506835 24060606608202 40101011013670 60151516520505 120303033041010