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121132141130 = 2571113101119813
BaseRepresentation
bin111000011010000001…
…0011100101001001010
3102120122220111100011102
41300310002130221022
53441034312004010
6131351454101402
711515524132260
oct1606402345112
9376586440142
10121132141130
114740aa32550
121b586aaa862
13b56590c770
145c11850430
15323e589ba5
hex1c3409ca4a

121132141130 has 128 divisors (see below), whose sum is σ = 295651109376. Its totient is φ = 34505856000.

The previous prime is 121132141129. The next prime is 121132141183. The reversal of 121132141130 is 31141231121.

It is a super-2 number, since 2×1211321411302 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 951104 + ... + 1070916.

It is an arithmetic number, because the mean of its divisors is an integer number (2309774292).

Almost surely, 2121132141130 is an apocalyptic number.

121132141130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121132141130 is an abundant number, since it is smaller than the sum of its proper divisors (174518968246).

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

121132141130 is a wasteful number, since it uses less digits than its factorization.

121132141130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119952.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 121132141130 its reverse (31141231121), we get a palindrome (152273372251).

It can be divided in two parts, 121132 and 141130, that added together give a palindrome (262262).

The spelling of 121132141130 in words is "one hundred twenty-one billion, one hundred thirty-two million, one hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 101 110 130 143 154 182 202 286 385 455 505 707 715 770 910 1001 1010 1111 1313 1414 1430 2002 2222 2626 3535 5005 5555 6565 7070 7777 9191 10010 11110 13130 14443 15554 18382 28886 38885 45955 72215 77770 91910 101101 119813 144430 202202 239626 505505 599065 838691 1011010 1198130 1317943 1557569 1677382 2635886 3115138 4193455 6589715 7787845 8386910 9225601 10902983 12101113 13179430 15575690 17133259 18451202 21805966 24202226 34266518 46128005 54514915 60505565 84707791 85666295 92256010 109029830 119932813 121011130 133112243 157314469 169415582 171332590 239865626 266224486 314628938 423538955 599664065 665561215 786572345 847077910 931785701 1101201283 1199328130 1331122430 1573144690 1730459159 1863571402 2202402566 3460918318 4658928505 5506006415 8652295795 9317857010 11012012830 12113214113 17304591590 24226428226 60566070565 121132141130