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131122311405332 = 221361228118122501
BaseRepresentation
bin11101110100000101001010…
…110010110001111100010100
3122012021011121022220212210012
4131310011022302301330110
5114141301443204432312
61142512431442215352
736422163053226122
oct3564051262617424
9565234538825705
10131122311405332
1138863729489285
1212858470954558
135821a1c874640
1424544d4908912
151025bd3b8b322
hex77414acb1f14

131122311405332 has 48 divisors (see below), whose sum is σ = 251276319150864. Its totient is φ = 59499792000000.

The previous prime is 131122311405317. The next prime is 131122311405353. The reversal of 131122311405332 is 233504113221131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 69771372761476 + 61350938643856 = 8352926^2 + 7832684^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1825919 + ... + 16296582.

It is an arithmetic number, because the mean of its divisors is an integer number (5234923315643).

Almost surely, 2131122311405332 is an apocalyptic number.

It is an amenable number.

131122311405332 is a deficient number, since it is larger than the sum of its proper divisors (120154007745532).

131122311405332 is a wasteful number, since it uses less digits than its factorization.

131122311405332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18124860 (or 18124858 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 131122311405332 its reverse (233504113221131), we get a palindrome (364626424626463).

The spelling of 131122311405332 in words is "one hundred thirty-one trillion, one hundred twenty-two billion, three hundred eleven million, four hundred five thousand, three hundred thirty-two".

Divisors: 1 2 4 13 26 52 61 122 244 793 1586 2281 3172 4562 9124 29653 59306 118612 139141 278282 556564 1808833 3617666 7235332 18122501 36245002 72490004 235592513 471185026 942370052 1105472561 2210945122 4421890244 14371143293 28742286586 41337424781 57484573172 82674849562 165349699124 537386522153 1074773044306 2149546088612 2521582911641 5043165823282 10086331646564 32780577851333 65561155702666 131122311405332