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131300100331000 = 2353278233471907
BaseRepresentation
bin11101110110101010101111…
…110101101101010111111000
3122012220011111202011002020221
4131312222233311231113320
5114202210101141043000
61143130233340025424
736441055613164306
oct3566525765552770
9565804452132227
10131300100331000
11389220727175a7
1212886a09b32274
1358357143aa983
14245cd5cbc3276
15102a63c1db61a
hex776aafd6d5f8

131300100331000 has 64 divisors (see below), whose sum is σ = 307243990104480. Its totient is φ = 52519740076800.

The previous prime is 131300100330961. The next prime is 131300100331021. The reversal of 131300100331000 is 133001003131.

It is a super-2 number, since 2×1313001003310002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277997047 + ... + 278468953.

Almost surely, 2131300100331000 is an apocalyptic number.

131300100331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131300100331000 is an abundant number, since it is smaller than the sum of its proper divisors (175943889773480).

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

131300100331000 is a wasteful number, since it uses less digits than its factorization.

131300100331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750161 (or 750147 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 131300100331000 its reverse (133001003131), we get a palindrome (131433101334131).

The spelling of 131300100331000 in words is "one hundred thirty-one trillion, three hundred billion, one hundred million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 278233 471907 556466 943814 1112932 1391165 1887628 2225864 2359535 2782330 3775256 4719070 5564660 6955825 9438140 11129320 11797675 13911650 18876280 23595350 27823300 34779125 47190700 55646600 58988375 69558250 94381400 117976750 139116500 235953500 278233000 471907000 131300100331 262600200662 525200401324 656500501655 1050400802648 1313001003310 2626002006620 3282502508275 5252004013240 6565005016550 13130010033100 16412512541375 26260020066200 32825025082750 65650050165500 131300100331000