Search a number
-
+
10234134212141 = 729675657133013
BaseRepresentation
bin1001010011101101000111…
…1011110010111000101101
31100020101002102001120121002
42110323101323302320231
52320134001324242031
633433255113450045
72104251246326630
oct224732173627055
940211072046532
1010234134212141
1132962a9a60aa4
12119353aa10925
135930c81c2c58
14275498747c17
1512b32ee27ccb
hex94ed1ef2e2d

10234134212141 has 32 divisors (see below), whose sum is σ = 12282321219840. Its totient is φ = 8341678388736.

The previous prime is 10234134212129. The next prime is 10234134212177. The reversal of 10234134212141 is 14121243143201.

It is not a de Polignac number, because 10234134212141 - 26 = 10234134212077 is a prime.

It is a super-2 number, since 2×102341342121412 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10234134212741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76874351 + ... + 77007363.

It is an arithmetic number, because the mean of its divisors is an integer number (383822538120).

Almost surely, 210234134212141 is an apocalyptic number.

It is an amenable number.

10234134212141 is a deficient number, since it is larger than the sum of its proper divisors (2048187007699).

10234134212141 is a wasteful number, since it uses less digits than its factorization.

10234134212141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138773.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 10234134212141 its reverse (14121243143201), we get a palindrome (24355377355342).

The spelling of 10234134212141 in words is "ten trillion, two hundred thirty-four billion, one hundred thirty-four million, two hundred twelve thousand, one hundred forty-one".

Divisors: 1 7 29 67 203 469 1943 5657 13601 39599 133013 164053 379019 931091 1148371 2653133 3857377 8911871 10991551 27001639 62383097 76940857 258444259 752454541 1809109813 5267181787 21821181689 50414454247 152748271823 352901179729 1462019173163 10234134212141