Search a number
-
+
10102011219999 = 3253719711172753
BaseRepresentation
bin1001001100000000111011…
…0010100101000000011111
31022202202001112100011020200
42103000032302211000133
52311002404333014444
633252444435314543
72061563153405046
oct223001662450037
938682045304220
1010102011219999
113245269a7a506
121171a0714ba53
1358380054026a
1426cd2332955d
15127b9aa09969
hex9300eca501f

10102011219999 has 96 divisors (see below), whose sum is σ = 15251108955264. Its totient is φ = 6439267860480.

The previous prime is 10102011219961. The next prime is 10102011220019. The reversal of 10102011219999 is 99991211020101.

It is not a de Polignac number, because 10102011219999 - 27 = 10102011219871 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102011219929) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3669454207 + ... + 3669456959.

It is an arithmetic number, because the mean of its divisors is an integer number (158865718284).

Almost surely, 210102011219999 is an apocalyptic number.

10102011219999 is a deficient number, since it is larger than the sum of its proper divisors (5149097735265).

10102011219999 is a wasteful number, since it uses less digits than its factorization.

10102011219999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097 (or 4094 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 45.

The spelling of 10102011219999 in words is "ten trillion, one hundred two billion, eleven million, two hundred nineteen thousand, nine hundred ninety-nine".

Divisors: 1 3 9 53 71 97 159 213 291 477 639 873 1117 2753 3351 3763 5141 6887 8259 10053 11289 15423 20661 24777 33867 46269 59201 61983 79307 108349 145909 177603 195463 237921 267041 325047 365011 437727 532809 586389 713763 801123 975141 1095033 1313181 1759167 2403369 3075101 3285099 4203271 5742497 7692779 9225303 10359539 12609813 14153173 17227491 18959911 23078337 27675909 31078617 37829439 42459519 51682473 56879733 69235011 93235851 127378557 162980353 170639199 218332171 298284797 407717287 488941059 654996513 894854391 1004875283 1223151861 1466823177 1964989539 2684563173 3014625849 3669455583 9043877547 11571605063 15809094241 21178220587 34714815189 47427282723 63534661761 104144445567 142281848169 190603985283 1122445691111 3367337073333 10102011219999