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1022010011100 = 2232521387351283
BaseRepresentation
bin11101101111101001000…
…10110010110111011100
310121200222122010211121100
432313310202302313130
5113221034030323400
62101301021233100
7133560234521421
oct16676442626734
93550878124540
101022010011100
1136448300a011
121460a5102790
13754b5214450
1437673671d48
151b8b8bc1100
hexedf48b2ddc

1022010011100 has 108 divisors (see below), whose sum is σ = 3449851610296. Its totient is φ = 251571692160.

The previous prime is 1022010011023. The next prime is 1022010011149. The reversal of 1022010011100 is 11100102201.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 43663942 + ... + 43687341.

Almost surely, 21022010011100 is an apocalyptic number.

1022010011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022010011100 is an abundant number, since it is smaller than the sum of its proper divisors (2427841599196).

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

1022010011100 is a wasteful number, since it uses less digits than its factorization.

1022010011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87351316 (or 87351306 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1022010011100 its reverse (11100102201), we get a palindrome (1033110113301).

The spelling of 1022010011100 in words is "one trillion, twenty-two billion, ten million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 87351283 174702566 262053849 349405132 436756415 524107698 786161547 873512830 1048215396 1135566679 1310269245 1572323094 1747025660 2183782075 2271133358 2620538490 3144646188 3406700037 3930807735 4367564150 4542266716 5241076980 5677833395 6551346225 6813400074 7861615470 8735128300 10220100111 11355666790 13102692450 13626800148 15723230940 17033500185 19654038675 20440200222 22711333580 26205384900 28389166975 34067000370 39308077350 40880400444 51100500555 56778333950 68134000740 78616154700 85167500925 102201001110 113556667900 170335001850 204402002220 255502502775 340670003700 511005005550 1022010011100