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1022111201020 = 225713678382083
BaseRepresentation
bin11101101111110101001…
…00110011011011111100
310121201020200112211002011
432313322210303123330
5113221240431413040
62101315034141004
7133562603600650
oct16677244633374
93551220484064
101022111201020
11364525143548
12146112b81764
1375500183740
1437682c92a60
151b8c2a0d3ea
hexedfa9336fc

1022111201020 has 96 divisors (see below), whose sum is σ = 2681193973248. Its totient is φ = 318653229312.

The previous prime is 1022111200987. The next prime is 1022111201029. The reversal of 1022111201020 is 201021112201.

It is a super-3 number, since 3×10221112010203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022111201029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4069102 + ... + 4312981.

It is an arithmetic number, because the mean of its divisors is an integer number (27929103888).

Almost surely, 21022111201020 is an apocalyptic number.

1022111201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022111201020 is an abundant number, since it is smaller than the sum of its proper divisors (1659082772228).

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

1022111201020 is a wasteful number, since it uses less digits than its factorization.

1022111201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8382179 (or 8382177 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1022111201020 its reverse (201021112201), we get a palindrome (1223132313221).

The spelling of 1022111201020 in words is "one trillion, twenty-two billion, one hundred eleven million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 67 70 91 130 134 140 182 260 268 335 364 455 469 670 871 910 938 1340 1742 1820 1876 2345 3484 4355 4690 6097 8710 9380 12194 17420 24388 30485 60970 121940 8382083 16764166 33528332 41910415 58674581 83820830 108967079 117349162 167641660 217934158 234698324 293372905 435868316 544835395 561599561 586745810 762769553 1089670790 1123199122 1173491620 1525539106 2179341580 2246398244 2807997805 3051078212 3813847765 3931196927 5615995610 7300794293 7627695530 7862393854 11231991220 14601588586 15255391060 15724787708 19655984635 29203177172 36503971465 39311969270 51105560051 73007942930 78623938540 102211120102 146015885860 204422240204 255527800255 511055600510 1022111201020