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202011112211001 = 319291732514436353
BaseRepresentation
bin101101111011101001100000…
…100101011000001000111001
3222111021001222202001201022220
4231323221200211120020321
5202434222224211223001
61553350342423434253
760356551452126312
oct5573514045301071
9874231882051286
10202011112211001
1159404482473795
121a7a71348b5989
138894748a78422
1437c5566233609
151854b8c8c3c36
hexb7ba60958239

202011112211001 has 128 divisors (see below), whose sum is σ = 296887020595200. Its totient is φ = 121691920896000.

The previous prime is 202011112210997. The next prime is 202011112211011. The reversal of 202011112211001 is 100112211110202.

It is a happy number.

It is not a de Polignac number, because 202011112211001 - 22 = 202011112210997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202011112211011) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 31797747841 + ... + 31797754193.

It is an arithmetic number, because the mean of its divisors is an integer number (2319429848400).

Almost surely, 2202011112211001 is an apocalyptic number.

It is an amenable number.

202011112211001 is a deficient number, since it is larger than the sum of its proper divisors (94875908384199).

202011112211001 is a wasteful number, since it uses less digits than its factorization.

202011112211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7271.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 202011112211001 its reverse (100112211110202), we get a palindrome (302123323321203).

The spelling of 202011112211001 in words is "two hundred two trillion, eleven billion, one hundred twelve million, two hundred eleven thousand, one".

Divisors: 1 3 19 29 57 87 173 251 443 519 551 753 1329 1653 3287 4769 5017 6353 7279 8417 9861 12847 14307 15051 19059 21837 25251 38541 43423 76639 95323 111193 120707 130269 138301 184237 229917 244093 285969 333579 362121 414903 552711 732279 825037 1099069 1259267 1456141 1594603 2112667 2222531 2475111 2814379 3224597 3297207 3500503 3777801 4368423 4783809 6338001 6667593 8443137 9673791 10501509 19236389 20882311 23926073 30297457 31873001 42228089 46243487 53473201 57709167 61267343 62646933 71778219 81616991 90892371 95619003 126684267 138730461 160419603 183802029 244850973 275866319 365491391 486887567 557855281 605587019 706409129 827598957 878626253 1096474173 1460662701 1550722829 1673565843 1816761057 2119227387 2635878759 4652168487 5241460061 8000123251 9250863773 10599250339 13421773451 14119739443 15724380183 20485864741 24000369753 27752591319 31797751017 40265320353 42359218329 61457594223 122208779317 152002341769 268275049417 366626337951 389231430079 456007025307 804825148251 1167694290237 2321966807023 3544054600193 6965900421069 10632163800579 67337037403667 202011112211001