Search a number
-
+
131055502350 = 23523140576947
BaseRepresentation
bin111101000001110000…
…1000100010000001110
3110112021111001022122110
41322003201010100032
54121400202033400
6140112302124450
712316451250453
oct1720341042016
9415244038573
10131055502350
1150642461723
1221496280726
13c487775736
1464b374382a
153620859e50
hex1e8384440e

131055502350 has 96 divisors (see below), whose sum is σ = 335633089536. Its totient is φ = 33807571200.

The previous prime is 131055502313. The next prime is 131055502379. The reversal of 131055502350 is 53205550131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18861577 + ... + 18868523.

It is an arithmetic number, because the mean of its divisors is an integer number (3496178016).

Almost surely, 2131055502350 is an apocalyptic number.

131055502350 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 131055502350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167816544768).

131055502350 is an abundant number, since it is smaller than the sum of its proper divisors (204577587186).

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

131055502350 is a wasteful number, since it uses less digits than its factorization.

131055502350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11050 (or 11045 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 30.

The spelling of 131055502350 in words is "one hundred thirty-one billion, fifty-five million, five hundred two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 310 465 775 930 1550 2325 4057 4650 6947 8114 12171 13894 20285 20841 24342 34735 40570 41682 60855 69470 101425 104205 121710 125767 173675 202850 208410 215357 251534 304275 347350 377301 430714 521025 608550 628835 646071 754602 1042050 1076785 1257670 1292142 1886505 2153570 3144175 3230355 3773010 5383925 6288350 6460710 9432525 10767850 16151775 18865050 28183979 32303550 56367958 84551937 140919895 169103874 281839790 422759685 704599475 845519370 873703349 1409198950 1747406698 2113798425 2621110047 4227596850 4368516745 5242220094 8737033490 13105550235 21842583725 26211100470 43685167450 65527751175 131055502350