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131115232503332 = 227112989400341203
BaseRepresentation
bin11101110011111110100100…
…110110111010011000100100
3122012020111022222201101210122
4131303332210312322120210
5114141142444010101312
61142505301204541112
736421522455445640
oct3563764466723044
9565214288641718
10131115232503332
1138860726643450
12128570160b1798
13582116210402c
1424540226cdc20
15102591c488b72
hex773fa4dba624

131115232503332 has 192 divisors, whose sum is σ = 299341192550400. Its totient is φ = 48754794654720.

The previous prime is 131115232503301. The next prime is 131115232503407. The reversal of 131115232503332 is 233305232511131.

It is a super-2 number, since 2×1311152325033322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131115232503292 and 131115232503301.

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, 3182156243 + ... + 3182197445.

It is an arithmetic number, because the mean of its divisors is an integer number (1559068711200).

Almost surely, 2131115232503332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131115232503332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149670596275200).

131115232503332 is an abundant number, since it is smaller than the sum of its proper divisors (168225960047068).

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

131115232503332 is a wasteful number, since it uses less digits than its factorization.

131115232503332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45346 (or 45344 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

The spelling of 131115232503332 in words is "one hundred thirty-one trillion, one hundred fifteen billion, two hundred thirty-two million, five hundred three thousand, three hundred thirty-two".