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1141033330300 = 2252471072778191
BaseRepresentation
bin10000100110101010111…
…000101110011001111100
311001002012120111220220211
4100212222320232121330
5122143314013032200
62232103344122204
7145302604165063
oct20465270563174
94032176456824
101141033330300
113aaa00628416
12165181906364
13837a2c67786
143d324dbb1da
151ea3304eaba
hex109aae2e67c

1141033330300 has 144 divisors (see below), whose sum is σ = 2561884028928. Its totient is φ = 440876217600.

The previous prime is 1141033330247. The next prime is 1141033330321. The reversal of 1141033330300 is 30333301411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139299205 + ... + 139307395.

It is an arithmetic number, because the mean of its divisors is an integer number (17790861312).

Almost surely, 21141033330300 is an apocalyptic number.

1141033330300 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 1141033330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280942014464).

1141033330300 is an abundant number, since it is smaller than the sum of its proper divisors (1420850698628).

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

1141033330300 is a wasteful number, since it uses less digits than its factorization.

1141033330300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8636 (or 8629 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1141033330300 its reverse (30333301411), we get a palindrome (1171366631711).

The spelling of 1141033330300 in words is "one trillion, one hundred forty-one billion, thirty-three million, three hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 107 188 214 235 277 428 470 535 554 940 1070 1108 1175 1385 2140 2350 2675 2770 4700 5029 5350 5540 6925 8191 10058 10700 13019 13850 16382 20116 25145 26038 27700 29639 32764 40955 50290 52076 59278 65095 81910 100580 118556 125725 130190 148195 163820 204775 251450 260380 296390 325475 384977 409550 502900 592780 650950 740975 769954 819100 876437 1301900 1393033 1481950 1539908 1752874 1924885 2268907 2786066 2963900 3505748 3849770 4382185 4537814 5572132 6965165 7699540 8764370 9075628 9624425 11344535 13930330 17528740 19248850 21910925 22689070 27860660 34825825 38497700 41192539 43821850 45378140 56722675 69651650 82385078 87643700 106638629 113445350 139303300 164770156 205962695 213277258 226890700 242773049 411925390 426554516 485546098 533193145 823850780 971092196 1029813475 1066386290 1213865245 2059626950 2132772580 2427730490 2665965725 4119253900 4855460980 5331931450 6069326225 10663862900 11410333303 12138652450 22820666606 24277304900 45641333212 57051666515 114103333030 228206666060 285258332575 570516665150 1141033330300