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10214012431 = 723149425779
BaseRepresentation
bin10011000001100110…
…10111011000001111
3222100211110120222201
421200303113120033
5131404241344211
64405305422331
7511053446620
oct114063273017
928324416881
1010214012431
1143715a8797
121b9079a9a7
13c6a13c74c
146cc751a47
153eba840c1
hex260cd760f

10214012431 has 16 divisors (see below), whose sum is σ = 12262464000. Its totient is φ = 8317999008.

The previous prime is 10214012363. The next prime is 10214012441. The reversal of 10214012431 is 13421041201.

10214012431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10214012431 - 211 = 10214010383 is a prime.

It is a super-2 number, since 2×102140124312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10214012399 and 10214012408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214012441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188901 + ... + 236878.

It is an arithmetic number, because the mean of its divisors is an integer number (766404000).

Almost surely, 210214012431 is an apocalyptic number.

10214012431 is a deficient number, since it is larger than the sum of its proper divisors (2048451569).

10214012431 is a wasteful number, since it uses less digits than its factorization.

10214012431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425958.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10214012431 its reverse (13421041201), we get a palindrome (23635053632).

The spelling of 10214012431 in words is "ten billion, two hundred fourteen million, twelve thousand, four hundred thirty-one".

Divisors: 1 7 23 149 161 1043 3427 23989 425779 2980453 9792917 63441071 68550419 444087497 1459144633 10214012431