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5105022340 = 22511314118257
BaseRepresentation
bin1001100000100100…
…00111010110000100
3111011210000000010111
410300102013112010
540423341203330
62202322202404
7240335655025
oct46022072604
914153000114
105105022340
11218a719930
12ba57b3404
136348403a2
14365ddcc4c
151ed29e32a
hex130487584

5105022340 has 96 divisors (see below), whose sum is σ = 12367531008. Its totient is φ = 1752576000.

The previous prime is 5105022331. The next prime is 5105022341. The reversal of 5105022340 is 432205015.

It is a super-2 number, since 2×51050223402 = 52122506183798151200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (5105022341) 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, 270492 + ... + 288748.

It is an arithmetic number, because the mean of its divisors is an integer number (128828448).

Almost surely, 25105022340 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 5105022340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6183765504).

5105022340 is an abundant number, since it is smaller than the sum of its proper divisors (7262508668).

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

5105022340 is a wasteful number, since it uses less digits than its factorization.

5105022340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18349 (or 18347 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 5105022340 is about 71449.4390460835. The cubic root of 5105022340 is about 1721.8654652191.

Adding to 5105022340 its reverse (432205015), we get a palindrome (5537227355).

The spelling of 5105022340 in words is "five billion, one hundred five million, twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 41 44 55 62 82 110 124 155 164 205 220 310 341 410 451 620 682 820 902 1271 1364 1705 1804 2255 2542 3410 4510 5084 6355 6820 9020 12710 13981 18257 25420 27962 36514 55924 69905 73028 91285 139810 182570 200827 279620 365140 401654 565967 748537 803308 1004135 1131934 1497074 2008270 2263868 2829835 2994148 3742685 4016540 5659670 6225637 7485370 8233907 11319340 12451274 14970740 16467814 23204647 24902548 31128185 32935628 41169535 46409294 62256370 82339070 92818588 116023235 124512740 164678140 232046470 255251117 464092940 510502234 1021004468 1276255585 2552511170 5105022340