Search a number
-
+
131122012000100 = 2252111152791034029
BaseRepresentation
bin11101110100000100111000…
…111100101000111101100100
3122012021010211110112112000112
4131310010320330220331210
5114141300340033000400
61142512342025032152
736422152456304432
oct3564047074507544
9565233743475015
10131122012000100
1138863595480740
12128583a8625658
1358219a2824494
1424544a6c4bd52
151025bb7748835
hex774138f28f64

131122012000100 has 72 divisors (see below), whose sum is σ = 310404555753600. Its totient is φ = 47680271913600.

The previous prime is 131122012000051. The next prime is 131122012000229. The reversal of 131122012000100 is 1000210221131.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126289886 + ... + 127323914.

Almost surely, 2131122012000100 is an apocalyptic number.

131122012000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131122012000100 is an abundant number, since it is smaller than the sum of its proper divisors (179282543753500).

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

131122012000100 is a wasteful number, since it uses less digits than its factorization.

131122012000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149333 (or 1149326 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 131122012000100 its reverse (1000210221131), we get a palindrome (132122222221231).

The spelling of 131122012000100 in words is "one hundred thirty-one trillion, one hundred twenty-two billion, twelve million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 115279 230558 461116 576395 1034029 1152790 1268069 2068058 2305580 2536138 2881975 4136116 5072276 5170145 5763950 6340345 10340290 11374319 11527900 12680690 20680580 22748638 25361380 25850725 31701725 45497276 51701450 56871595 63403450 103402900 113743190 126806900 227486380 284357975 568715950 1137431900 119201829091 238403658182 476807316364 596009145455 1192018290910 1311220120001 2384036581820 2622440240002 2980045727275 5244880480004 5960091454550 6556100600005 11920182909100 13112201200010 26224402400020 32780503000025 65561006000050 131122012000100