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2772040131 = 33719771941
BaseRepresentation
bin1010010100111001…
…1111100111000011
321011012002020012000
42211032133213003
521134120241011
61135022235043
7125456644440
oct24516374703
97135066160
102772040131
1111a2820863
12654425a83
133523baa43
141c42269c7
15113565356
hexa539f9c3

2772040131 has 32 divisors (see below), whose sum is σ = 4940428800. Its totient is φ = 1500651360.

The previous prime is 2772040127. The next prime is 2772040147. The reversal of 2772040131 is 1310402772.

It is a happy number.

It is not a de Polignac number, because 2772040131 - 22 = 2772040127 is a prime.

It is a super-2 number, since 2×27720401312 = 15368412975748994322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2772040095 and 2772040104.

It is not an unprimeable number, because it can be changed into a prime (2772040151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382380 + ... + 389561.

It is an arithmetic number, because the mean of its divisors is an integer number (154388400).

Almost surely, 22772040131 is an apocalyptic number.

2772040131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2772040131 is a deficient number, since it is larger than the sum of its proper divisors (2168388669).

2772040131 is a wasteful number, since it uses less digits than its factorization.

2772040131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771976 (or 771970 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2772040131 is about 52650.1674356312. The cubic root of 2772040131 is about 1404.7525779364.

The spelling of 2772040131 in words is "two billion, seven hundred seventy-two million, forty thousand, one hundred thirty-one".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1197 3591 771941 2315823 5403587 6947469 14666879 16210761 20842407 44000637 48632283 102668153 132001911 145896849 308004459 396005733 924013377 2772040131