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1134221042020 = 2251127922672617
BaseRepresentation
bin10000100000010100110…
…101111010000101100100
311000102121210222211012111
4100200110311322011210
5122040341041321040
62225015353130404
7144642024533233
oct20402465720544
94012553884174
101134221042020
113a8025233400
121639a03b9a04
1382c58805871
143cc7a364b1a
151e784e63dea
hex10814d7a164

1134221042020 has 144 divisors (see below), whose sum is σ = 2653405413120. Its totient is φ = 406888035840.

The previous prime is 1134221041927. The next prime is 1134221042021. The reversal of 1134221042020 is 202401224311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1134221041982 and 1134221042000.

It is not an unprimeable number, because it can be changed into a prime (1134221042021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433403752 + ... + 433406368.

It is an arithmetic number, because the mean of its divisors is an integer number (18426426480).

Almost surely, 21134221042020 is an apocalyptic number.

1134221042020 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 1134221042020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326702706560).

1134221042020 is an abundant number, since it is smaller than the sum of its proper divisors (1519184371100).

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

1134221042020 is a wasteful number, since it uses less digits than its factorization.

1134221042020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4994 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1134221042020 its reverse (202401224311), we get a palindrome (1336622266331).

The spelling of 1134221042020 in words is "one trillion, one hundred thirty-four billion, two hundred twenty-one million, forty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 121 158 220 242 316 395 484 605 790 869 1210 1580 1738 2267 2420 2617 3476 4345 4534 5234 8690 9068 9559 10468 11335 13085 17380 19118 22670 24937 26170 28787 38236 45340 47795 49874 52340 57574 95590 99748 115148 124685 143935 179093 191180 206743 249370 274307 287870 316657 358186 413486 498740 548614 575740 633314 716372 826972 895465 1033715 1097228 1266628 1371535 1583285 1790930 1970023 2067430 2274173 2743070 3166570 3581860 3940046 4134860 4548346 5486140 5932739 6333140 7880092 9096692 9850115 11370865 11865478 19700230 21670253 22741730 23730956 25015903 29663695 39400460 43340506 45483460 50031806 59327390 65260129 86681012 100063612 108351265 118654780 125079515 130520258 216702530 250159030 261040516 326300645 433405060 468686381 500318060 652601290 717861419 937372762 1305202580 1435722838 1874745524 2343431905 2871445676 3589307095 4686863810 5155550191 7178614190 9373727620 10311100382 14357228380 20622200764 25777750955 51555501910 56711052101 103111003820 113422104202 226844208404 283555260505 567110521010 1134221042020