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1001012220 = 22325131512833
BaseRepresentation
bin111011101010100…
…011101111111100
32120202120200121200
4323222203233330
54022224342340
6243155055500
733543314655
oct7352435774
92522520550
101001012220
1147405532a
1223b2a1590
1312c502b30
1496d3252c
155cd31330
hex3baa3bfc

1001012220 has 144 divisors (see below), whose sum is σ = 3292790592. Its totient is φ = 244684800.

The previous prime is 1001012203. The next prime is 1001012237. The reversal of 1001012220 is 222101001.

It is an interprime number because it is at equal distance from previous prime (1001012203) and next prime (1001012237).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 351924 + ... + 354756.

Almost surely, 21001012220 is an apocalyptic number.

1001012220 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 1001012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646395296).

1001012220 is an abundant number, since it is smaller than the sum of its proper divisors (2291778372).

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

1001012220 is a wasteful number, since it uses less digits than its factorization.

1001012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1001012220 is about 31638.7771571532. Note that the first 3 decimals coincide. The cubic root of 1001012220 is about 1000.3372928874.

Adding to 1001012220 its reverse (222101001), we get a palindrome (1223113221).

The spelling of 1001012220 in words is "one billion, one million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 151 156 180 195 234 260 302 390 453 468 585 604 755 780 906 1170 1359 1510 1812 1963 2265 2340 2718 2833 3020 3926 4530 5436 5666 5889 6795 7852 8499 9060 9815 11332 11778 13590 14165 16998 17667 19630 23556 25497 27180 28330 29445 33996 35334 36829 39260 42495 50994 56660 58890 70668 73658 84990 88335 101988 110487 117780 127485 147316 169980 176670 184145 220974 254970 331461 353340 368290 427783 441948 509940 552435 662922 736580 855566 1104870 1283349 1325844 1657305 1711132 2138915 2209740 2566698 3314610 3850047 4277830 5133396 5561179 6416745 6629220 7700094 8555660 11122358 12833490 15400188 16683537 19250235 22244716 25666980 27805895 33367074 38500470 50050611 55611790 66734148 77000940 83417685 100101222 111223580 166835370 200202444 250253055 333670740 500506110 1001012220