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1022021104 = 24133741279
BaseRepresentation
bin111100111010101…
…100110111110000
32122020010001101111
4330322230313300
54043114133404
6245225243104
734220015236
oct7472546760
92566101344
101022021104
114849a4645
12246333494
1313397a520
1499a40956
155ead1104
hex3ceacdf0

1022021104 has 120 divisors (see below), whose sum is σ = 2273257280. Its totient is φ = 442091520.

The previous prime is 1022021089. The next prime is 1022021111. The reversal of 1022021104 is 4011202201.

It is a happy number.

It is a super-3 number, since 3×10220211043 (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12936937 + ... + 12937015.

Almost surely, 21022021104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022021104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136628640).

1022021104 is an abundant number, since it is smaller than the sum of its proper divisors (1251236176).

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

1022021104 is a wasteful number, since it uses less digits than its factorization.

1022021104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1022021104 is about 31969.0647970816. The cubic root of 1022021104 is about 1007.2871366514.

Adding to 1022021104 its reverse (4011202201), we get a palindrome (5033223305).

The spelling of 1022021104 in words is "one billion, twenty-two million, twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 37 41 52 74 79 82 104 148 158 164 208 296 316 328 481 533 592 632 656 962 1027 1066 1264 1517 1681 1924 2054 2132 2923 3034 3239 3362 3848 4108 4264 5846 6068 6478 6724 7696 8216 8528 11692 12136 12956 13448 16432 19721 21853 23384 24272 25912 26896 37999 39442 42107 43706 46768 51824 62197 75998 78884 84214 87412 119843 124394 132799 151996 157768 168428 174824 239686 248788 265598 303992 315536 336856 349648 479372 497576 531196 607984 673712 808561 958744 995152 1062392 1557959 1617122 1726387 1917488 2124784 3115918 3234244 3452774 4913563 6231836 6468488 6905548 9827126 12463672 12936976 13811096 19654252 24927344 27622192 39308504 63876319 78617008 127752638 255505276 511010552 1022021104