Search a number
-
+
1772040100110 = 235753159212947
BaseRepresentation
bin11001110010010101110…
…100100001100100001110
320021101221112002002022220
4121302111310201210032
5213013114231200420
63434021453120210
7242011543216650
oct31622564414416
96241845062286
101772040100110
11623577492005
12247524789066
13cb144727747
1461aa529a6d0
15311650b3840
hex19c95d2190e

1772040100110 has 64 divisors (see below), whose sum is σ = 4952159534592. Its totient is φ = 397395513216.

The previous prime is 1772040100109. The next prime is 1772040100111. The reversal of 1772040100110 is 110010402771.

It is an interprime number because it is at equal distance from previous prime (1772040100109) and next prime (1772040100111).

It is a super-2 number, since 2×17720401001102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1772040100111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79595344 + ... + 79617603.

It is an arithmetic number, because the mean of its divisors is an integer number (77377492728).

Almost surely, 21772040100110 is an apocalyptic number.

1772040100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1772040100110 is an abundant number, since it is smaller than the sum of its proper divisors (3180119434482).

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

1772040100110 is a wasteful number, since it uses less digits than its factorization.

1772040100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159213017.

The product of its (nonzero) digits is 392, while the sum is 24.

Adding to 1772040100110 its reverse (110010402771), we get a palindrome (1882050502881).

The spelling of 1772040100110 in words is "one trillion, seven hundred seventy-two billion, forty million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 105 106 159 210 265 318 371 530 742 795 1113 1590 1855 2226 3710 5565 11130 159212947 318425894 477638841 796064735 955277682 1114490629 1592129470 2228981258 2388194205 3343471887 4776388410 5572453145 6686943774 8438286191 11144906290 16717359435 16876572382 25314858573 33434718870 42191430955 50629717146 59068003337 84382861910 118136006674 126574292865 177204010011 253148585730 295340016685 354408020022 590680033370 886020050055 1772040100110