Search a number
-
+
1156710201000 = 233531871206077
BaseRepresentation
bin10000110101010001010…
…011001111011010101000
311002120200010022110122120
4100311101103033122220
5122422420302413000
62243215121551240
7146366233324344
oct20652123173250
94076603273576
101156710201000
11406615831402
12168217aa5520
1385100ab5323
143ddb1078624
152014e4b86a0
hex10d514cf6a8

1156710201000 has 128 divisors (see below), whose sum is σ = 3610882229760. Its totient is φ = 308289696000.

The previous prime is 1156710200981. The next prime is 1156710201047. The reversal of 1156710201000 is 1020176511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 5509962 + ... + 5716038.

It is an arithmetic number, because the mean of its divisors is an integer number (28210017420).

Almost surely, 21156710201000 is an apocalyptic number.

1156710201000 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 1156710201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805441114880).

1156710201000 is an abundant number, since it is smaller than the sum of its proper divisors (2454172028760).

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

1156710201000 is a wasteful number, since it uses less digits than its factorization.

1156710201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207972 (or 207958 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

Adding to 1156710201000 its reverse (1020176511), we get a palindrome (1157730377511).

The spelling of 1156710201000 in words is "one trillion, one hundred fifty-six billion, seven hundred ten million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1871 3000 3742 5613 7484 9355 11226 14968 18710 22452 28065 37420 44904 46775 56130 74840 93550 112260 140325 187100 206077 224520 233875 280650 374200 412154 467750 561300 618231 701625 824308 935500 1030385 1122600 1236462 1403250 1648616 1871000 2060770 2472924 2806500 3091155 4121540 4945848 5151925 5613000 6182310 8243080 10303850 12364620 15455775 20607700 24729240 25759625 30911550 41215400 51519250 61823100 77278875 103038500 123646200 154557750 206077000 309115500 385570067 618231000 771140134 1156710201 1542280268 1927850335 2313420402 3084560536 3855700670 4626840804 5783551005 7711401340 9253681608 9639251675 11567102010 15422802680 19278503350 23134204020 28917755025 38557006700 46268408040 48196258375 57835510050 77114013400 96392516750 115671020100 144588775125 192785033500 231342040200 289177550250 385570067000 578355100500 1156710201000