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1021200101110 = 25732959174007
BaseRepresentation
bin11101101110001000100…
…01001110111011110110
310121121220012011010222001
432313010101032323312
5113212404211213420
62101044410125514
7133531201432000
oct16670421167366
93547805133861
101021200101110
113640a791a712
12145ab9a2089a
13753b64a1977
14375d7c87370
151b86ca3cb0a
hexedc444eef6

1021200101110 has 128 divisors (see below), whose sum is σ = 2255143680000. Its totient is φ = 332320834944.

The previous prime is 1021200101101. The next prime is 1021200101137. The reversal of 1021200101110 is 111010021201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5781727 + ... + 5955733.

It is an arithmetic number, because the mean of its divisors is an integer number (17618310000).

Almost surely, 21021200101110 is an apocalyptic number.

1021200101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1021200101110 is an abundant number, since it is smaller than the sum of its proper divisors (1233943578890).

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

1021200101110 is a wasteful number, since it uses less digits than its factorization.

1021200101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174123 (or 174109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1021200101110 its reverse (111010021201), we get a palindrome (1132210122311).

The spelling of 1021200101110 in words is "one trillion, twenty-one billion, two hundred million, one hundred one thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 29 35 49 58 59 70 98 118 145 203 245 290 295 343 406 413 490 590 686 826 1015 1421 1711 1715 2030 2065 2842 2891 3422 3430 4130 5782 7105 8555 9947 11977 14210 14455 17110 19894 20237 23954 28910 40474 49735 59885 83839 99470 101185 119770 167678 174007 202370 348014 419195 586873 838390 870035 1173746 1218049 1740070 2436098 2934365 5046203 5868730 6090245 8526343 10092406 10266413 12180490 17052686 20532826 25231015 35323421 42631715 50462030 51332065 59684401 70646842 71864891 85263430 102664130 119368802 143729782 176617105 247263947 297725977 298422005 353234210 359324455 494527894 503054237 595451954 596844010 718648910 1006108474 1236319735 1488629885 1730847629 2084081839 2472639470 2515271185 2977259770 3461695258 3521379659 4168163678 5030542370 7042759318 8654238145 10420409195 14588572873 17308476290 17606898295 20840818390 29177145746 35213796590 72942864365 102120010111 145885728730 204240020222 510600050555 1021200101110