Search a number
-
+
202301113211120 = 245711277118559891
BaseRepresentation
bin101101111111110111100101…
…111111011001100011110000
3222112021210112102002220212002
4231333313211333121203300
5203004000134440223440
61554131503131353132
760416526114013550
oct5577674577314360
9875253472086762
10202301113211120
1159506469479420
121a8333895b27a8
1388b5bb4179b51
1437d55d73d3160
15185c4b2321115
hexb7fde5fd98f0

202301113211120 has 160 divisors (see below), whose sum is σ = 588527509971456. Its totient is φ = 62827256908800.

The previous prime is 202301113211101. The next prime is 202301113211173. The reversal of 202301113211120 is 21112311103202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202301113211092 and 202301113211101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57573626 + ... + 60986265.

Almost surely, 2202301113211120 is an apocalyptic number.

202301113211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202301113211120 is an abundant number, since it is smaller than the sum of its proper divisors (386226396760336).

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

202301113211120 is a wasteful number, since it uses less digits than its factorization.

202301113211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118560199 (or 118560193 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 202301113211120 its reverse (21112311103202), we get a palindrome (223413424314322).

The spelling of 202301113211120 in words is "two hundred two trillion, three hundred one billion, one hundred thirteen million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 277 280 308 385 440 554 560 616 770 880 1108 1232 1385 1540 1939 2216 2770 3047 3080 3878 4432 5540 6094 6160 7756 9695 11080 12188 15235 15512 19390 21329 22160 24376 30470 31024 38780 42658 48752 60940 77560 85316 106645 121880 155120 170632 213290 243760 341264 426580 853160 1706320 118559891 237119782 474239564 592799455 829919237 948479128 1185598910 1304158801 1659838474 1896958256 2371197820 2608317602 3319676948 4149596185 4742395640 5216635204 6520794005 6639353896 8299192370 9129111607 9484791280 10433270408 13041588010 13278707792 16598384740 18258223214 20866540816 26083176020 32841089807 33196769480 36516446428 45645558035 52166352040 65682179614 66393538960 73032892856 91291116070 104332704080 131364359228 146065785712 164205449035 182582232140 229887628649 262728718456 328410898070 361251987877 365164464280 459775257298 525457436912 656821796140 722503975754 730328928560 919550514596 1149438143245 1313643592280 1445007951508 1806259939385 1839101029192 2298876286490 2528763915139 2627287184560 2890015903016 3612519878770 3678202058384 4597752572980 5057527830278 5780031806032 7225039757540 9195505145960 10115055660556 12643819575695 14450079515080 18391010291920 20230111321112 25287639151390 28900159030160 40460222642224 50575278302780 101150556605560 202301113211120