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131002530 = 23519311739
BaseRepresentation
bin1111100111011…
…11000010100010
3100010111121200120
413303233002202
5232014040110
620555501110
73150334401
oct763570242
9303447616
10131002530
1167a4715a
1237a57796
13211a9bb9
1413581638
15b77a870
hex7cef0a2

131002530 has 64 divisors (see below), whose sum is σ = 332467200. Its totient is φ = 32944320.

The previous prime is 131002523. The next prime is 131002567. The reversal of 131002530 is 35200131.

131002530 = T68 + T69 + ... + T922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176901 + ... + 177639.

It is an arithmetic number, because the mean of its divisors is an integer number (5194800).

Almost surely, 2131002530 is an apocalyptic number.

131002530 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 131002530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166233600).

131002530 is an abundant number, since it is smaller than the sum of its proper divisors (201464670).

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

131002530 is a wasteful number, since it uses less digits than its factorization.

131002530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 131002530 is about 11445.6336652891. The cubic root of 131002530 is about 507.8785773203.

Adding to 131002530 its reverse (35200131), we get a palindrome (166202661).

The spelling of 131002530 in words is "one hundred thirty-one million, two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 311 570 622 739 933 1478 1555 1866 2217 3110 3695 4434 4665 5909 7390 9330 11085 11818 14041 17727 22170 28082 29545 35454 42123 59090 70205 84246 88635 140410 177270 210615 229829 421230 459658 689487 1149145 1378974 2298290 3447435 4366751 6894870 8733502 13100253 21833755 26200506 43667510 65501265 131002530