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2234411210031 = 3711133741490481
BaseRepresentation
bin100000100000111101010…
…010010101010100101111
321220121101221220010101220
4200200331102111110233
5243102033232210111
64430250242434423
7320300535625410
oct40407522252457
97817357803356
102234411210031
11791676971440
12301063962a13
1313291cb04b90
147a208bb1807
153d1c747ae06
hex2083d49552f

2234411210031 has 128 divisors (see below), whose sum is σ = 4208382646272. Its totient is φ = 1017059328000.

The previous prime is 2234411209997. The next prime is 2234411210107. The reversal of 2234411210031 is 1300121144322.

It is not a de Polignac number, because 2234411210031 - 29 = 2234411209519 is a prime.

It is a super-2 number, since 2×22344112100312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2234411209983 and 2234411210010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234411210131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4310311 + ... + 4800791.

It is an arithmetic number, because the mean of its divisors is an integer number (32877989424).

Almost surely, 22234411210031 is an apocalyptic number.

2234411210031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2234411210031 is a deficient number, since it is larger than the sum of its proper divisors (1973971436241).

2234411210031 is a wasteful number, since it uses less digits than its factorization.

2234411210031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490593.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2234411210031 its reverse (1300121144322), we get a palindrome (3534532354353).

It can be divided in two parts, 2234411 and 210031, that added together give a palindrome (2444442).

The spelling of 2234411210031 in words is "two trillion, two hundred thirty-four billion, four hundred eleven million, two hundred ten thousand, thirty-one".

Divisors: 1 3 7 11 13 21 33 37 39 41 77 91 111 123 143 231 259 273 287 407 429 451 481 533 777 861 1001 1221 1353 1443 1517 1599 2849 3003 3157 3367 3731 4551 5291 5863 8547 9471 10101 10619 11193 15873 16687 17589 19721 31857 37037 41041 50061 59163 111111 116809 123123 138047 216931 350427 414141 490481 650793 1471443 1518517 3433367 4555551 5395291 6376253 10300101 16185873 18147797 19128759 20109721 37767037 44633771 54443391 60329163 70138783 113301111 127034579 133901313 140768047 199625767 210416349 221206931 235921361 261426373 381103737 422304141 490971481 598877301 663620793 707764083 744059677 784279119 1397380369 1472914443 1548448517 1651449527 1829984611 2232179031 2595134971 2875690103 4192141107 4645345551 4954348581 5208417739 5489953833 7785404913 8184656447 8627070309 9672775801 15625253217 18165944797 20129830721 24553969341 29018327403 54497834391 57292595129 60389492163 67709430607 106400533811 171877785387 203128291821 319201601433 744803736677 2234411210031