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1022111212020 = 2235311787307511
BaseRepresentation
bin11101101111110101001…
…00110110000111110100
310121201020200120101011120
432313322210312013310
5113221240432241040
62101315034303540
7133562603645013
oct16677244660764
93551220511146
101022111212020
11364525150838
12146112b87bb0
1375500188752
1437682c96a7a
151b8c2a117d0
hexedfa9361f4

1022111212020 has 96 divisors (see below), whose sum is σ = 2955893907456. Its totient is φ = 263622172800.

The previous prime is 1022111212009. The next prime is 1022111212021. The reversal of 1022111212020 is 202121112201.

It is a super-2 number, since 2×10221112120202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022111212021) 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, 3170065 + ... + 3477575.

It is an arithmetic number, because the mean of its divisors is an integer number (30790561536).

Almost surely, 21022111212020 is an apocalyptic number.

1022111212020 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 1022111212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477946953728).

1022111212020 is an abundant number, since it is smaller than the sum of its proper divisors (1933782695436).

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

1022111212020 is a wasteful number, since it uses less digits than its factorization.

1022111212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309341 (or 309339 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1022111212020 its reverse (202121112201), we get a palindrome (1224232324221).

The spelling of 1022111212020 in words is "one trillion, twenty-two billion, one hundred eleven million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1787 1860 3574 5361 7148 8935 10722 17870 21444 26805 35740 53610 55397 107220 110794 166191 221588 276985 307511 332382 553970 615022 664764 830955 922533 1107940 1230044 1537555 1661910 1845066 3075110 3323820 3690132 4612665 6150220 9225330 9532841 18450660 19065682 28598523 38131364 47664205 57197046 95328410 114394092 142992615 190656820 285985230 549522157 571970460 1099044314 1648566471 2198088628 2747610785 3297132942 5495221570 6594265884 8242832355 10990443140 16485664710 17035186867 32971329420 34070373734 51105560601 68140747468 85175934335 102211121202 170351868670 204422242404 255527803005 340703737340 511055606010 1022111212020