Search a number
-
+
1231000080 = 243531165457
BaseRepresentation
bin100100101011111…
…1001001000010000
310011210100021122120
41021113321020100
510010114000310
6322052334240
742335220342
oct11127711020
93153307576
101231000080
1158195a642
122a4314380
1316805971b
14b96bd292
1573110b70
hex495f9210

1231000080 has 80 divisors (see below), whose sum is σ = 3939224064. Its totient is φ = 317675520.

The previous prime is 1231000061. The next prime is 1231000081. The reversal of 1231000080 is 800001321.

It is a happy number.

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

It is a super-2 number, since 2×12310000802 = 3030722393920012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1231000081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75289 + ... + 90168.

Almost surely, 21231000080 is an apocalyptic number.

1231000080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1231000080 is an abundant number, since it is smaller than the sum of its proper divisors (2708223984).

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

1231000080 is a wasteful number, since it uses less digits than its factorization.

1231000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165504 (or 165498 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1231000080 is about 35085.6107257662. The cubic root of 1231000080 is about 1071.7315777412.

The spelling of 1231000080 in words is "one billion, two hundred thirty-one million, eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 165457 330914 496371 661828 827285 992742 1323656 1654570 1985484 2481855 2647312 3309140 3970968 4963710 5129167 6618280 7941936 9927420 10258334 13236560 15387501 19854840 20516668 25645835 30775002 39709680 41033336 51291670 61550004 76937505 82066672 102583340 123100008 153875010 205166680 246200016 307750020 410333360 615500040 1231000080