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4011222221104 = 247761109742901
BaseRepresentation
bin111010010111101111011…
…110011100000100110000
3112012110122222021121012211
4322113233132130010300
51011204440342033404
612310421405101504
7562541553212650
oct72275736340460
915173588247184
104011222221104
11130717140a46a
1254949a257894
13231344a8a757
14dc203938360
156e51b2e2b04
hex3a5ef79c130

4011222221104 has 80 divisors (see below), whose sum is σ = 8901978290496. Its totient is φ = 1715231232000.

The previous prime is 4011222221099. The next prime is 4011222221141.

4011222221104 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 93478054 + ... + 93520954.

Almost surely, 24011222221104 is an apocalyptic number.

It is an amenable number.

4011222221104 is an abundant number, since it is smaller than the sum of its proper divisors (4890756069392).

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

4011222221104 is a wasteful number, since it uses less digits than its factorization.

4011222221104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44774 (or 44768 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Multiplying 4011222221104 by its sum of digits (22), we get a palindrome (88246888864288).

The spelling of 4011222221104 in words is "four trillion, eleven billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 761 1097 1522 2194 3044 4388 5327 6088 7679 8776 10654 12176 15358 17552 21308 30716 42616 42901 61432 85232 85802 122864 171604 300307 343208 600614 686416 834817 1201228 1669634 2402456 3339268 4804912 5843719 6678536 11687438 13357072 23374876 32647661 46749752 47062397 65295322 93499504 94124794 130590644 188249588 228533627 261181288 329436779 376499176 457067254 522362576 658873558 752998352 914134508 1317747116 1828269016 2635494232 3656538032 5270988464 35814484117 71628968234 143257936468 250701388819 286515872936 501402777638 573031745872 1002805555276 2005611110552 4011222221104