Search a number
-
+
12146132403210 = 23513229135999691
BaseRepresentation
bin1011000010111111110111…
…1010000100010000001010
31121000011021211222100021110
42300233331322010100022
53043000234343400320
641455504534351150
72362346324650251
oct260577572042012
947004254870243
1012146132403210
113963167102273
1214420031bb4b6
136a14b58c7c20
142ddc39843798
15160e371d05e0
hexb0bfde8440a

12146132403210 has 64 divisors (see below), whose sum is σ = 31530168593280. Its totient is φ = 2976761214720.

The previous prime is 12146132403191. The next prime is 12146132403233. The reversal of 12146132403210 is 1230423164121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67910536 + ... + 68089155.

It is an arithmetic number, because the mean of its divisors is an integer number (492658884270).

Almost surely, 212146132403210 is an apocalyptic number.

12146132403210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12146132403210 is an abundant number, since it is smaller than the sum of its proper divisors (19384036190070).

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

12146132403210 is a wasteful number, since it uses less digits than its factorization.

12146132403210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135999943.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 12146132403210 its reverse (1230423164121), we get a palindrome (13376555567331).

The spelling of 12146132403210 in words is "twelve trillion, one hundred forty-six billion, one hundred thirty-two million, four hundred three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 229 390 458 687 1145 1374 2290 2977 3435 5954 6870 8931 14885 17862 29770 44655 89310 135999691 271999382 407999073 679998455 815998146 1359996910 1767995983 2039995365 3535991966 4079990730 5303987949 8839979915 10607975898 17679959830 26519939745 31143929239 53039879490 62287858478 93431787717 155719646195 186863575434 311439292390 404871080107 467158938585 809742160214 934317877170 1214613240321 2024355400535 2429226480642 4048710801070 6073066201605 12146132403210