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20211130144040 = 23511243735415323
BaseRepresentation
bin1001001100001110001010…
…01110111001010100101000
32122120011110102002002110012
410212013011032321110220
510122114343304102130
6110552510501511052
74154130434442263
oct446070516712450
978504412062405
1020211130144040
116492546077190
122325076712488
13b37b94496754
144dc31c609cda
15250b10505995
hex1261c53b9528

20211130144040 has 128 divisors (see below), whose sum is σ = 49652836168320. Its totient is φ = 7343031628800.

The previous prime is 20211130144039. The next prime is 20211130144043. The reversal of 20211130144040 is 4044103111202.

It is a super-2 number, since 2×202111301440402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20211130143997 and 20211130144015.

It is not an unprimeable number, because it can be changed into a prime (20211130144043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3796940819 + ... + 3796946141.

It is an arithmetic number, because the mean of its divisors is an integer number (387912782565).

Almost surely, 220211130144040 is an apocalyptic number.

20211130144040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211130144040 is an abundant number, since it is smaller than the sum of its proper divisors (29441706024280).

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

20211130144040 is a wasteful number, since it uses less digits than its factorization.

20211130144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11323 (or 11319 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 20211130144040 its reverse (4044103111202), we get a palindrome (24255233255242).

The spelling of 20211130144040 in words is "twenty trillion, two hundred eleven billion, one hundred thirty million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2437 3541 4874 5323 7082 9748 10646 12185 14164 17705 19496 21292 24370 26615 26807 28328 35410 38951 42584 48740 53230 53614 58553 70820 77902 97480 106460 107228 117106 134035 141640 155804 194755 212920 214456 234212 268070 292765 311608 389510 468424 536140 585530 779020 1072280 1171060 1558040 2342120 8629417 12972151 17258834 18848743 25944302 34517668 37697486 43147085 51888604 64860755 69035336 75394972 86294170 94243715 94923587 103777208 129721510 142693661 150789944 172588340 188487430 189847174 207336173 259443020 285387322 345176680 376974860 379694348 414672346 474617935 518886040 570774644 713468305 753949720 759388696 829344692 949235870 1036680865 1141549288 1426936610 1658689384 1898471740 2073361730 2853873220 3796943480 4146723460 5707746440 8293446920 45934386691 91868773382 183737546764 229671933455 367475093528 459343866910 505278253601 918687733820 1010556507202 1837375467640 2021113014404 2526391268005 4042226028808 5052782536010 10105565072020 20211130144040