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1022021001012 = 22311101173443117
BaseRepresentation
bin11101101111101010011…
…00101101111100110100
310121201000101211011221010
432313311030231330310
5113221044334013022
62101302052552220
7133560430113114
oct16676514557464
93551011734833
101022021001012
11364489235990
121460a8922670
13754b759175b
1437674cd3044
151b8b9b4250c
hexedf532df34

1022021001012 has 96 divisors (see below), whose sum is σ = 2642457976704. Its totient is φ = 304863808000.

The previous prime is 1022021000983. The next prime is 1022021001041. The reversal of 1022021001012 is 2101001202201.

It is an interprime number because it is at equal distance from previous prime (1022021000983) and next prime (1022021001041).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2084878 + ... + 2527994.

It is an arithmetic number, because the mean of its divisors is an integer number (27525603924).

Almost surely, 21022021001012 is an apocalyptic number.

1022021001012 is a gapful number since it is divisible by the number (12) 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 1022021001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321228988352).

1022021001012 is an abundant number, since it is smaller than the sum of its proper divisors (1620436975692).

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

1022021001012 is a wasteful number, since it uses less digits than its factorization.

1022021001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443409 (or 443407 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022021001012 its reverse (2101001202201), we get a palindrome (3123022203213).

The spelling of 1022021001012 in words is "one trillion, twenty-two billion, twenty-one million, one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 173 202 303 346 404 519 606 692 1038 1111 1212 1903 2076 2222 3333 3806 4444 5709 6666 7612 11418 13332 17473 22836 34946 52419 69892 104838 192203 209676 384406 443117 576609 768812 886234 1153218 1329351 1772468 2306436 2658702 4874287 5317404 9748574 14622861 19497148 29245722 44754817 58491444 76659241 89509634 134264451 153318482 179019268 229977723 268528902 306636964 459955446 492302987 537057804 843251651 919910892 984605974 1476908961 1686503302 1969211948 2529754953 2953817922 3373006604 5059509906 5907635844 7742583341 10119019812 15485166682 23227750023 30970333364 46455500046 85168416751 92911000092 170336833502 255505250253 340673667004 511010500506 1022021001012