Search a number
-
+
1102201110010 = 2571113793713873
BaseRepresentation
bin10000000010100000010…
…011100011110111111010
310220100222021211202000201
4100002200103203313322
5121024301441010020
62202202202552414
7142426366565620
oct20024023436772
93810867752021
101102201110010
11395493879580
12159744b0870a
137cc24b07c30
143b4bd953510
151da0dd3ba0a
hex100a04e3dfa

1102201110010 has 128 divisors (see below), whose sum is σ = 2664308795904. Its totient is φ = 317053992960.

The previous prime is 1102201110007. The next prime is 1102201110013. The reversal of 1102201110010 is 100111022011.

It is an interprime number because it is at equal distance from previous prime (1102201110007) and next prime (1102201110013).

It is a super-2 number, since 2×11022011100102 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1102201110013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79442434 + ... + 79456306.

It is an arithmetic number, because the mean of its divisors is an integer number (20814912468).

Almost surely, 21102201110010 is an apocalyptic number.

1102201110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1102201110010 is an abundant number, since it is smaller than the sum of its proper divisors (1562107685894).

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

1102201110010 is a wasteful number, since it uses less digits than its factorization.

1102201110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21848.

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

Adding to 1102201110010 its reverse (100111022011), we get a palindrome (1202312132021).

The spelling of 1102201110010 in words is "one trillion, one hundred two billion, two hundred one million, one hundred ten thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 5005 7937 10010 13873 15874 27746 39685 55559 69365 79370 87307 97111 103181 111118 138730 152603 174614 180349 194222 206362 277795 305206 360698 436535 485555 515905 555590 611149 722267 763015 873070 901745 971110 1031810 1068221 1134991 1222298 1262443 1444534 1526030 1803490 1983839 2136442 2269982 2524886 3055745 3611335 3967678 5341105 5674955 6111490 6312215 7222670 7944937 9919195 10682210 11349910 12624430 13886873 15889874 19838390 27773746 39724685 69434365 79449370 110110001 138868730 220220002 550550005 770770007 1101100010 1211210011 1431430013 1541540014 2422420022 2862860026 3853850035 6056050055 7157150065 7707700070 8478470077 10020010091 12112100110 14314300130 15745730143 16956940154 20040020182 31491460286 42392350385 50100050455 78728650715 84784700770 100200100910 110220111001 157457301430 220440222002 551100555005 1102201110010