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2145312135412 = 22101211193113033
BaseRepresentation
bin11111001101111110100…
…100010101100011110100
321121002102111021011120021
4133031332210111203310
5240122044401313122
64321313124214524
7310664556163435
oct37157644254364
97532374234507
102145312135412
11757904854986
122a793883a444
131273c0841554
1475b957d148c
153ac102601c7
hex1f37e9158f4

2145312135412 has 48 divisors (see below), whose sum is σ = 3811701749184. Its totient is φ = 1056373920000.

The previous prime is 2145312135391. The next prime is 2145312135413.

2145312135412 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145312135413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164599648 + ... + 164612680.

It is an arithmetic number, because the mean of its divisors is an integer number (79410453108).

Almost surely, 22145312135412 is an apocalyptic number.

It is an amenable number.

2145312135412 is a deficient number, since it is larger than the sum of its proper divisors (1666389613772).

2145312135412 is a wasteful number, since it uses less digits than its factorization.

2145312135412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15280 (or 15278 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The spelling of 2145312135412 in words is "two trillion, one hundred forty-five billion, three hundred twelve million, one hundred thirty-five thousand, four hundred twelve".

Divisors: 1 2 4 101 202 211 404 422 844 1931 3862 7724 13033 21311 26066 42622 52132 85244 195031 390062 407441 780124 814882 1316333 1629764 2632666 2749963 5265332 5499926 10999852 25166723 41151541 50333446 82303082 100666892 164606164 277746263 555492526 1110985052 2541839023 5083678046 5310178553 10167356092 10620357106 21240714212 536328033853 1072656067706 2145312135412