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131122010010 = 235431131496037
BaseRepresentation
bin111101000011101111…
…0110001011110011010
3110112110010012021000010
41322013132301132122
54122014213310020
6140123035422350
712321216460365
oct1720736613632
9415403167003
10131122010010
1150676a57932
12214b45b49b6
13c498490794
1464bc4d70dc
1536265e5de0
hex1e877b179a

131122010010 has 128 divisors (see below), whose sum is σ = 327095366400. Its totient is φ = 33617719296.

The previous prime is 131122009973. The next prime is 131122010069. The reversal of 131122010010 is 10010221131.

It is a Curzon number.

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, 21716712 + ... + 21722748.

It is an arithmetic number, because the mean of its divisors is an integer number (2555432550).

Almost surely, 2131122010010 is an apocalyptic number.

131122010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131122010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163547683200).

131122010010 is an abundant number, since it is smaller than the sum of its proper divisors (195973356390).

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

131122010010 is a wasteful number, since it uses less digits than its factorization.

131122010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6352.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 131122010010 its reverse (10010221131), we get a palindrome (141132231141).

The spelling of 131122010010 in words is "one hundred thirty-one billion, one hundred twenty-two million, ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 113 129 149 215 226 258 298 339 430 447 565 645 678 745 894 1130 1290 1490 1695 2235 3390 4470 4859 6037 6407 9718 12074 12814 14577 16837 18111 19221 24295 29154 30185 32035 33674 36222 38442 48590 50511 60370 64070 72885 84185 90555 96105 101022 145770 168370 181110 192210 252555 259591 505110 519182 682181 723991 778773 899513 1297955 1364362 1447982 1557546 1799026 2046543 2171973 2595910 2698539 3410905 3619955 3893865 4093086 4343946 4497565 5397078 6821810 7239910 7787730 8995130 10232715 10859865 13492695 20465430 21719730 26985390 29333783 38679059 58667566 77358118 88001349 101644969 116037177 146668915 176002698 193395295 203289938 232074354 293337830 304934907 386790590 440006745 508224845 580185885 609869814 880013490 1016449690 1160371770 1524674535 3049349070 4370733667 8741467334 13112201001 21853668335 26224402002 43707336670 65561005005 131122010010