Search a number
-
+
1012091092720 = 245172011370057
BaseRepresentation
bin11101011101001010101…
…01000111111011110000
310120202101100221120112221
432232211111013323300
5113040230304431340
62052540452330424
7133056363226141
oct16564525077360
93522340846487
101012091092720
11360253044904
12144197313a14
1374594275786
1436db21b7ac8
151b4d7ecc44a
hexeba5547ef0

1012091092720 has 80 divisors (see below), whose sum is σ = 2492775818208. Its totient is φ = 380832030720.

The previous prime is 1012091092643. The next prime is 1012091092801. The reversal of 1012091092720 is 272901902101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2549932 + ... + 2919988.

Almost surely, 21012091092720 is an apocalyptic number.

1012091092720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012091092720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246387909104).

1012091092720 is an abundant number, since it is smaller than the sum of its proper divisors (1480684725488).

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

1012091092720 is a wasteful number, since it uses less digits than its factorization.

1012091092720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372098 (or 372092 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 34.

Adding to 1012091092720 its reverse (272901902101), we get a palindrome (1284992994821).

The spelling of 1012091092720 in words is "one trillion, twelve billion, ninety-one million, ninety-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 2011 4022 8044 10055 16088 20110 32176 34187 40220 68374 80440 136748 160880 170935 273496 341870 370057 546992 683740 740114 1367480 1480228 1850285 2734960 2960456 3700570 5920912 6290969 7401140 12581938 14802280 25163876 29604560 31454845 50327752 62909690 100655504 125819380 251638760 503277520 744184627 1488369254 2976738508 3720923135 5953477016 7441846270 11906954032 12651138659 14883692540 25302277318 29767385080 50604554636 59534770160 63255693295 101209109272 126511386590 202418218544 253022773180 506045546360 1012091092720