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1003214411220 = 223571032225149
BaseRepresentation
bin11101001100101000011…
…11010001010111010100
310112220110201220102201110
432212110033101113110
5112414040342124340
62044511554255020
7132323405540220
oct16462417212724
93486421812643
101003214411220
1135750842169a
1214251a587470
13737ab211a08
14367ad303780
151b168a5e680
hexe9943d15d4

1003214411220 has 144 divisors (see below), whose sum is σ = 3241770940800. Its totient is φ = 227078869248.

The previous prime is 1003214411219. The next prime is 1003214411249. The reversal of 1003214411220 is 221144123001.

1003214411220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4343206 + ... + 4568354.

It is an arithmetic number, because the mean of its divisors is an integer number (22512298200).

Almost surely, 21003214411220 is an apocalyptic number.

1003214411220 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 1003214411220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620885470400).

1003214411220 is an abundant number, since it is smaller than the sum of its proper divisors (2238556529580).

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

1003214411220 is a wasteful number, since it uses less digits than its factorization.

1003214411220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225374 (or 225269 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1003214411220 its reverse (221144123001), we get a palindrome (1224358534221).

The spelling of 1003214411220 in words is "one trillion, three billion, two hundred fourteen million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 103 105 140 206 210 309 412 420 515 618 721 1030 1236 1442 1545 2060 2163 2884 3090 3605 4326 6180 7210 8652 10609 10815 14420 21218 21630 31827 42436 43260 53045 63654 74263 106090 127308 148526 159135 212180 222789 225149 297052 318270 371315 445578 450298 636540 675447 742630 891156 900596 1113945 1125745 1350894 1485260 1576043 2227890 2251490 2701788 3152086 3377235 4455780 4502980 4728129 6304172 6754470 7880215 9456258 13508940 15760430 18912516 23190347 23640645 31520860 46380694 47281290 69571041 92761388 94562580 115951735 139142082 162332429 231903470 278284164 324664858 347855205 463806940 486997287 649329716 695710410 811662145 973994574 1391420820 1623324290 1947989148 2388605741 2434986435 3246648580 4777211482 4869972870 7165817223 9554422964 9739945740 11943028705 14331634446 16720240187 23886057410 28663268892 33440480374 35829086115 47772114820 50160720561 66880960748 71658172230 83601200935 100321441122 143316344460 167202401870 200642882244 250803602805 334404803740 501607205610 1003214411220