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1001223113022 = 2321124766114797
BaseRepresentation
bin11101001000111011000…
…11000100100100111110
310112201022221221000010100
432210131203010210332
5112401001104104042
62043542222021530
7132223146020136
oct16443543044476
93481287830110
101001223113022
11356686388900
121420637178a6
13735517c3362
1436660a71ac6
151b09dd1a24c
hexe91d8c493e

1001223113022 has 144 divisors (see below), whose sum is σ = 2439037613376. Its totient is φ = 296476329600.

The previous prime is 1001223113017. The next prime is 1001223113027. The reversal of 1001223113022 is 2203113221001.

1001223113022 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1001223113017) and next prime (1001223113027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1001223112986 and 1001223113004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001223113027) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67656528 + ... + 67671324.

It is an arithmetic number, because the mean of its divisors is an integer number (16937761204).

Almost surely, 21001223113022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001223113022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219518806688).

1001223113022 is an abundant number, since it is smaller than the sum of its proper divisors (1437814500354).

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

1001223113022 is a wasteful number, since it uses less digits than its factorization.

1001223113022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15535 (or 15521 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1001223113022 its reverse (2203113221001), we get a palindrome (3204336334023).

The spelling of 1001223113022 in words is "one trillion, one billion, two hundred twenty-three million, one hundred thirteen thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 121 141 198 242 282 363 423 517 661 726 846 1034 1089 1322 1551 1983 2178 3102 3966 4653 5687 5949 7271 9306 11374 11898 14542 14797 17061 21813 29594 31067 34122 43626 44391 51183 62134 65439 79981 88782 93201 102366 130878 133173 159962 162767 186402 239943 266346 279603 325534 341737 479886 488301 559206 683474 695459 719829 976602 1025211 1390918 1439658 1464903 1790437 2050422 2086377 2929806 3075633 3580874 3759107 4172754 5371311 6151266 6259131 7518214 7650049 9780817 10742622 11277321 12518262 15300098 16113933 19561634 22554642 22950147 29342451 32227866 33831963 45900294 58684902 67663926 68850441 84150539 88027353 107588987 137700882 168301078 176054706 215177974 252451617 322766961 459698399 504903234 645533922 757354851 919396798 968300883 1183478857 1379095197 1514709702 1936601766 2366957714 2758190394 3550436571 4137285591 5056682389 7100873142 8274571182 10113364778 10651309713 15170047167 21302619426 30340094334 45510141501 55623506279 91020283002 111247012558 166870518837 333741037674 500611556511 1001223113022